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130218445103004 = 2232431311374687159
BaseRepresentation
bin11101100110111011011000…
…001010011101111110011100
3122002001202120100000021211100
4131212323120022131332130
5114031444333421244004
61140541310002353100
736266654314353126
oct3546733012357634
9562052510007740
10130218445103004
1138545372522305
121273125995b790
1357877150a869b
14242286bc52216
15100c431ee8739
hex766ed829df9c

130218445103004 has 144 divisors (see below), whose sum is σ = 341866751466240. Its totient is φ = 41765952533760.

The previous prime is 130218445102969. The next prime is 130218445103009. The reversal of 130218445103004 is 400301544812031.

130218445103004 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 84 + 4 + 510 + 30 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130218445103004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130218445103009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25438377 + ... + 30125535.

It is an arithmetic number, because the mean of its divisors is an integer number (2374074662960).

Almost surely, 2130218445103004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130218445103004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170933375733120).

130218445103004 is an abundant number, since it is smaller than the sum of its proper divisors (211648306363236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130218445103004 is a wasteful number, since it uses less digits than its factorization.

130218445103004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687480 (or 4687475 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 130218445103004 its reverse (400301544812031), we get a palindrome (530519989915035).

The spelling of 130218445103004 in words is "one hundred thirty trillion, two hundred eighteen billion, four hundred forty-five million, one hundred three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 131 137 172 258 262 274 387 393 411 516 524 548 774 786 822 1179 1233 1548 1572 1644 2358 2466 4716 4932 5633 5891 11266 11782 16899 17673 17947 22532 23564 33798 35346 35894 50697 53019 53841 67596 70692 71788 101394 106038 107682 161523 202788 212076 215364 323046 646092 771721 1543442 2315163 3086884 4630326 4687159 6945489 9260652 9374318 13890978 14061477 18748636 27781956 28122954 42184431 56245908 84368862 168737724 201547837 403095674 604643511 614017829 642140783 806191348 1209287022 1228035658 1284281566 1813930533 1842053487 1926422349 2418574044 2456071316 2568563132 3627861066 3684106974 3852844698 5526160461 5779267047 7255722132 7368213948 7705689396 11052320922 11558534094 22104641844 23117068188 26402766647 27612053669 52805533294 55224107338 79208299941 82836161007 84120442573 105611066588 110448214676 158416599882 165672322014 168240885146 237624899823 248508483021 252361327719 316833199764 331344644028 336481770292 475249799646 497016966042 504722655438 757083983157 950499599292 994033932084 1009445310876 1514167966314 3028335932628 3617179030639 7234358061278 10851537091917 14468716122556 21703074183834 32554611275751 43406148367668 65109222551502 130218445103004