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129531096225 = 32522943509907
BaseRepresentation
bin111100010100010100…
…1111010110010100001
3110101100020121110120100
41320220221322302201
54110234430034400
6135301124533013
712233621102646
oct1705051726241
9411306543510
10129531096225
114aa2aa21853
122112b851169
13c2a39b968b
1463ab0c9dcd
153581ade100
hex1e28a7aca1

129531096225 has 144 divisors (see below), whose sum is σ = 246340036800. Its totient is φ = 64950197760.

The previous prime is 129531096217. The next prime is 129531096257. The reversal of 129531096225 is 522690135921.

129531096225 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 3 + 10 + 9 + 622 + 5 = 666.

It is not a de Polignac number, because 129531096225 - 23 = 129531096217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142812222 + ... + 142813128.

It is an arithmetic number, because the mean of its divisors is an integer number (1710694700).

Almost surely, 2129531096225 is an apocalyptic number.

129531096225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129531096225 is a deficient number, since it is larger than the sum of its proper divisors (116808940575).

129531096225 is a wasteful number, since it uses less digits than its factorization.

129531096225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 129531096225 in words is "one hundred twenty-nine billion, five hundred thirty-one million, ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 43 45 75 87 129 145 215 225 261 387 435 509 645 725 907 1075 1247 1305 1527 1935 2175 2545 2721 3225 3741 4535 4581 6235 6525 7635 8163 9675 11223 12725 13605 14761 18705 21887 22675 22905 26303 31175 38175 39001 40815 44283 56115 65661 68025 73805 78909 93525 109435 114525 117003 131515 132849 195005 196983 204075 221415 236727 280575 328305 351009 369025 394545 461663 547175 585015 634723 657575 664245 975025 984915 1107075 1131029 1183635 1384989 1641525 1755045 1904169 1972725 2308315 2925075 3173615 3321225 3393087 4154967 4924575 5655145 5712507 5918175 6924945 8775225 9520845 10179261 11541575 13388227 15868075 16965435 19851509 20774835 28275725 28562535 34624725 40164681 47604225 50896305 59554527 66941135 84827175 99257545 103874175 120494043 142812675 178663581 200823405 254481525 297772635 334705675 496287725 575693761 602470215 893317905 1004117025 1488863175 1727081283 2878468805 3012351075 4466589525 5181243849 8635406415 14392344025 25906219245 43177032075 129531096225