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101132102196 = 223217267761729
BaseRepresentation
bin101111000101111110…
…0010110101000110100
3100200001001220002111200
41132023330112220310
53124104304232241
6114243123532500
710210101453666
oct1361374265064
9320031802450
10101132102196
1139987487254
1217724b2a130
1396c92201b8
144c75558536
15296d8124b6
hex178bf16a34

101132102196 has 72 divisors (see below), whose sum is σ = 270782595720. Its totient is φ = 31715352576.

The previous prime is 101132102191. The next prime is 101132102233. The reversal of 101132102196 is 691201231101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27484997796 + 73647104400 = 165786^2 + 271380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132102191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1607460 + ... + 1669188.

It is an arithmetic number, because the mean of its divisors is an integer number (3760869385).

Almost surely, 2101132102196 is an apocalyptic number.

It is an amenable number.

101132102196 is an abundant number, since it is smaller than the sum of its proper divisors (169650493524).

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

101132102196 is a wasteful number, since it uses less digits than its factorization.

101132102196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64433 (or 64428 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 101132102196 its reverse (691201231101), we get a palindrome (792333333297).

The spelling of 101132102196 in words is "one hundred one billion, one hundred thirty-two million, one hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2677 5354 8031 10708 16062 24093 32124 45509 48186 61729 91018 96372 123458 136527 182036 185187 246916 273054 370374 409581 546108 555561 740748 819162 1049393 1111122 1638324 2098786 2222244 3148179 4197572 6296358 9444537 12592716 18889074 37778148 165248533 330497066 495745599 660994132 991491198 1487236797 1982982396 2809225061 2974473594 5618450122 5948947188 8427675183 11236900244 16855350366 25283025549 33710700732 50566051098 101132102196