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102003321301985 = 517229193109711497
BaseRepresentation
bin10111001100010101111111…
…101110110110101111100001
3111101011102101211210000001102
4113030111333232312233201
5101332210300223130420
61000535402350444145
730325332251223425
oct2714257756665741
9441142354700042
10102003321301985
112a557402721334
12b534b15b03655
1344bbb4480a55c
141b28db6824b85
15bbd51915ba75
hex5cc57fbb6be1

102003321301985 has 96 divisors (see below), whose sum is σ = 135343453793760. Its totient is φ = 73696262750208.

The previous prime is 102003321301957. The next prime is 102003321302083. The reversal of 102003321301985 is 589103123300201.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 84056643034081 + 17946678267904 = 9168241^2 + 4236352^2 .

It is not a de Polignac number, because 102003321301985 - 210 = 102003321300961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8872162757 + ... + 8872174253.

It is an arithmetic number, because the mean of its divisors is an integer number (1409827643685).

Almost surely, 2102003321301985 is an apocalyptic number.

It is an amenable number.

102003321301985 is a deficient number, since it is larger than the sum of its proper divisors (33340132491775).

102003321301985 is a wasteful number, since it uses less digits than its factorization.

102003321301985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12855 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 102003321301985 in words is "one hundred two trillion, three billion, three hundred twenty-one million, three hundred one thousand, nine hundred eighty-five".

Divisors: 1 5 17 29 85 145 193 289 493 965 1097 1445 2465 3281 5485 5597 8381 11497 16405 18649 27985 31813 41905 55777 57485 93245 95149 159065 195449 211721 278885 317033 333413 475745 540821 977245 1058605 1585165 1617533 1667065 2218921 2704105 3322633 3599257 5668021 6139909 8087665 9193957 11094605 12612209 16613165 17996285 28340105 30699545 37721657 45969785 61187369 63061045 64348709 96356357 104378453 188608285 214407553 305936845 321743545 365754061 481781785 521892265 641268169 1072037765 1093928053 1774433701 1828770305 2434156337 3206340845 3644928401 5469640265 6217819037 8872168505 12170781685 18224642005 18596776901 31089095185 41380657729 70590533773 92983884505 105702923629 206903288645 352952668865 528514618145 703471181393 1200039074141 3517355906965 6000195370705 20400664260397 102003321301985