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102310200001310 = 25719269413369191
BaseRepresentation
bin10111010000110011110011…
…001000001100001100011110
3111102020202111202012011100012
4113100303303020030030132
5101402222242200020220
61001332353530203222
730356445063146060
oct2720636310141436
9442222452164305
10102310200001310
112a66556a752204
12b58449ab83512
134511a6c781142
141b39ba9349730
15bc64ca673ac5
hex5d0cf320c31e

102310200001310 has 128 divisors (see below), whose sum is σ = 222424492492800. Its totient is φ = 33099557230080.

The previous prime is 102310200001309. The next prime is 102310200001337. The reversal of 102310200001310 is 13100002013201.

It is a super-2 number, since 2×1023102000013102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1478628815 + ... + 1478698005.

It is an arithmetic number, because the mean of its divisors is an integer number (1737691347600).

Almost surely, 2102310200001310 is an apocalyptic number.

102310200001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102310200001310 is an abundant number, since it is smaller than the sum of its proper divisors (120114292491490).

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

102310200001310 is a wasteful number, since it uses less digits than its factorization.

102310200001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73626.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102310200001310 its reverse (13100002013201), we get a palindrome (115410202014511).

The spelling of 102310200001310 in words is "one hundred two trillion, three hundred ten billion, two hundred million, one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 269 538 665 1330 1345 1883 2690 3766 4133 5111 8266 9415 10222 18830 20665 25555 28931 35777 41330 51110 57862 69191 71554 78527 138382 144655 157054 178885 289310 345955 357770 392635 484337 549689 691910 785270 968674 1099378 1111777 1314629 2223554 2421685 2629258 2748445 4843370 5496890 5558885 6573145 7782439 9202403 11117770 13146290 15564878 18404806 18612379 21123763 37224758 38912195 42247526 46012015 77824390 92024030 93061895 105618815 130286653 147866341 186123790 211237630 260573306 285966403 295732682 353635201 571932806 651433265 707270402 739331705 1302866530 1429832015 1478663410 1768176005 2001764821 2475446407 2859664030 3536352010 4003529642 4950892814 5433361657 10008824105 10866723314 12377232035 20017648210 24754464070 27166808285 38033531599 54333616570 76067063198 76924962407 153849924814 190167657995 380335315990 384624812035 538474736849 769249624070 1076949473698 1461574285733 2692373684245 2923148571466 5384747368490 7307871428665 10231020000131 14615742857330 20462040000262 51155100000655 102310200001310