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100201103200432 = 24133741317558387
BaseRepresentation
bin10110110010000111100011…
…001010011001000010110000
3111010210010120011110121021101
4112302013203022121002300
5101113143324404403212
6553035430142134144
730051201514142113
oct2662074312310260
9433703504417241
10100201103200432
1129a2205a579173
12b2a378a881354
1343bac00b96730
141aa5a8b62657a
15b8b6d9a0d157
hex5b21e32990b0

100201103200432 has 80 divisors (see below), whose sum is σ = 219961263265632. Its totient is φ = 43899271280640.

The previous prime is 100201103200343. The next prime is 100201103200439. The reversal of 100201103200432 is 234002301102001.

It is a happy number.

It is a super-2 number, since 2×1002011032004322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201103200439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158463658 + ... + 159094729.

Almost surely, 2100201103200432 is an apocalyptic number.

It is an amenable number.

100201103200432 is an abundant number, since it is smaller than the sum of its proper divisors (119760160065200).

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

100201103200432 is a wasteful number, since it uses less digits than its factorization.

100201103200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317558486 (or 317558480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100201103200432 its reverse (234002301102001), we get a palindrome (334203404302433).

It can be divided in two parts, 100201103 and 200432, that added together give a triangular number (100401535 = T14170).

The spelling of 100201103200432 in words is "one hundred trillion, two hundred one billion, one hundred three million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 37 41 52 74 82 104 148 164 208 296 328 481 533 592 656 962 1066 1517 1924 2132 3034 3848 4264 6068 7696 8528 12136 19721 24272 39442 78884 157768 315536 317558387 635116774 1270233548 2540467096 4128259031 5080934192 8256518062 11749660319 13019893867 16513036124 23499320638 26039787734 33026072248 46998641276 52079575468 66052144496 93997282552 104159150936 152745584147 169258620271 187994565104 208318301872 305491168294 338517240542 481736073079 610982336588 677034481084 963472146158 1221964673176 1354068962168 1926944292316 2443929346352 2708137924336 3853888584632 6262568950027 7707777169264 12525137900054 25050275800108 50100551600216 100201103200432