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101301301332 = 223271171514711
BaseRepresentation
bin101111001011000000…
…1110011000001010100
3100200110212021022002100
41132112001303001110
53124431113120312
6114312010242100
710214224565640
oct1362601630124
9320425238070
10101301301332
1139a63a42050
1217771726330
1397252b1b2a
144c8dbddc20
15297d5d55dc
hex1796073054

101301301332 has 144 divisors (see below), whose sum is σ = 323749730304. Its totient is φ = 25941384000.

The previous prime is 101301301319. The next prime is 101301301349. The reversal of 101301301332 is 233103103101.

It is a happy number.

101301301332 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 1 + 301 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60544 + ... + 454167.

It is an arithmetic number, because the mean of its divisors is an integer number (2248262016).

Almost surely, 2101301301332 is an apocalyptic number.

101301301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101301301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161874865152).

101301301332 is an abundant number, since it is smaller than the sum of its proper divisors (222448428972).

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

101301301332 is a wasteful number, since it uses less digits than its factorization.

101301301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514810 (or 514805 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101301301332 its reverse (233103103101), we get a palindrome (334404404433).

The spelling of 101301301332 in words is "one hundred one billion, three hundred one million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 71 77 84 99 126 132 142 154 198 213 231 252 284 308 396 426 462 497 639 693 781 852 924 994 1278 1386 1491 1562 1988 2343 2556 2772 2982 3124 4473 4686 5467 5964 7029 8946 9372 10934 14058 16401 17892 21868 28116 32802 49203 65604 98406 196812 514711 1029422 1544133 2058844 3088266 3602977 4632399 5661821 6176532 7205954 9264798 10808931 11323642 14411908 16985463 18529596 21617862 22647284 32426793 33970926 36544481 39632747 43235724 50956389 64853586 67941852 73088962 79265494 101912778 109633443 118898241 129707172 146177924 158530988 203825556 219266886 237796482 255811367 328900329 356694723 401989291 438533772 475592964 511622734 657800658 713389446 767434101 803978582 1023245468 1205967873 1315601316 1426778892 1534868202 1607957164 2302302303 2411935746 2813925037 3069736404 3617903619 4604604606 4823871492 5627850074 7235807238 8441775111 9209209212 11255700148 14471614476 16883550222 25325325333 33767100444 50650650666 101301301332