Search a number
-
+
103031201002329 = 323779163181132749
BaseRepresentation
bin10111011011010011010010…
…001000101111001101011001
3111111210200112112202221120200
4113123103102020233031121
5102001030344424033304
61003043514052012413
730462521131426605
oct2733232210571531
9444720475687520
10103031201002329
112a913317a47796
12b680178901109
134564a53ac36b2
141b62a45864505
15bda1282c4e39
hex5db4d222f359

103031201002329 has 96 divisors (see below), whose sum is σ = 156590965440000. Its totient is φ = 65217456944640.

The previous prime is 103031201002271. The next prime is 103031201002351. The reversal of 103031201002329 is 923200102130301.

103031201002329 is a `hidden beast` number, since 1 + 0 + 303 + 1 + 20 + 10 + 0 + 2 + 329 = 666.

It is not a de Polignac number, because 103031201002329 - 215 = 103031200969561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103031201002129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 776069047 + ... + 776201795.

It is an arithmetic number, because the mean of its divisors is an integer number (1631155890000).

Almost surely, 2103031201002329 is an apocalyptic number.

It is an amenable number.

103031201002329 is a deficient number, since it is larger than the sum of its proper divisors (53559764437671).

103031201002329 is a wasteful number, since it uses less digits than its factorization.

103031201002329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133215 (or 133212 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 103031201002329 in words is "one hundred three trillion, thirty-one billion, two hundred one million, two thousand, three hundred twenty-nine".

Divisors: 1 3 9 37 79 111 163 181 237 333 489 543 711 1467 1629 2923 6031 6697 8769 12877 14299 18093 20091 26307 29503 38631 42897 54279 60273 88509 115893 128691 132749 265527 398247 476449 529063 1091611 1194741 1429347 1587189 2330737 3274833 4288041 4761567 4911713 6992211 9824499 10487171 14735139 20976633 21638087 24027569 31461513 44205417 64914261 72082707 86237269 94384539 194742783 216248121 258711807 388025327 776135421 800609219 889020053 1164075981 1709408873 1898177951 2401827657 2667060159 3492227943 3916493747 5128226619 5694533853 7205482971 8001180477 11749481241 15384679857 17083601559 35248443723 63248128301 70232584187 144910268639 189744384903 210697752561 309403006013 434730805917 569233154709 632093257683 928209018039 1304192417751 2784627054117 11447911222481 34343733667443 103031201002329