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100211420520 = 233251627171091
BaseRepresentation
bin101110101010100010…
…0001110110101101000
3100120122220110121200100
41131111010032311220
53120213110424040
6114011514305400
710145222006601
oct1352504166550
9316586417610
10100211420520
1139554809502
1217508728260
1395b0565043
144bc9176da8
152917a9cb30
hex175510ed68

100211420520 has 96 divisors (see below), whose sum is σ = 325889197920. Its totient is φ = 26706464640.

The previous prime is 100211420503. The next prime is 100211420563. The reversal of 100211420520 is 25024112001.

100211420520 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 142 + 0 + 520 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100211420493 and 100211420502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500175 + ... + 671265.

It is an arithmetic number, because the mean of its divisors is an integer number (3394679145).

Almost surely, 2100211420520 is an apocalyptic number.

100211420520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211420520 is an abundant number, since it is smaller than the sum of its proper divisors (225677777400).

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

100211420520 is a wasteful number, since it uses less digits than its factorization.

100211420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172735 (or 172728 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 100211420520 its reverse (25024112001), we get a palindrome (125235532521).

The spelling of 100211420520 in words is "one hundred billion, two hundred eleven million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1627 3254 4881 6508 8135 9762 13016 14643 16270 19524 24405 29286 32540 39048 48810 58572 65080 73215 97620 117144 146430 171091 195240 292860 342182 513273 585720 684364 855455 1026546 1368728 1539819 1710910 2053092 2566365 3079638 3421820 4106184 5132730 6159276 6843640 7699095 10265460 12318552 15398190 20530920 30796380 61592760 278365057 556730114 835095171 1113460228 1391825285 1670190342 2226920456 2505285513 2783650570 3340380684 4175475855 5010571026 5567301140 6680761368 8350951710 10021142052 11134602280 12526427565 16701903420 20042284104 25052855130 33403806840 50105710260 100211420520