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102323220112113 = 37111359769751001
BaseRepresentation
bin10111010000111111111011…
…001011111110001011110001
3111102022000010010211022122020
4113100333323023332023301
5101402430423322041423
61001342345520302053
730360415532233560
oct2720777313761361
9442260103738566
10102323220112113
112a670041213160
12b586b13471929
134513066074810
141b3a68262bbd7
15bc69dd7494e3
hex5d0ffb2fe2f1

102323220112113 has 128 divisors (see below), whose sum is σ = 186527267942400. Its totient is φ = 48171663360000.

The previous prime is 102323220112109. The next prime is 102323220112117. The reversal of 102323220112113 is 311211022323201.

It is an interprime number because it is at equal distance from previous prime (102323220112109) and next prime (102323220112117).

It is not a de Polignac number, because 102323220112113 - 22 = 102323220112109 is a prime.

It is a super-2 number, since 2×1023232201121132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102323220112117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135873613 + ... + 136624613.

It is an arithmetic number, because the mean of its divisors is an integer number (1457244280800).

Almost surely, 2102323220112113 is an apocalyptic number.

102323220112113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102323220112113 is a deficient number, since it is larger than the sum of its proper divisors (84204047830287).

102323220112113 is a wasteful number, since it uses less digits than its factorization.

102323220112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751863.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102323220112113 its reverse (311211022323201), we get a palindrome (413534242435314).

The spelling of 102323220112113 in words is "one hundred two trillion, three hundred twenty-three billion, two hundred twenty million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 59 77 91 143 177 231 273 413 429 649 767 769 1001 1239 1947 2301 2307 3003 4543 5369 5383 8437 8459 9997 13629 16107 16149 25311 25377 29991 45371 59059 59213 69979 109967 136113 177177 177639 209937 317597 329901 499081 589823 751001 769769 952791 1497243 1769469 2253003 2309307 3493567 4128761 5257007 6488053 8261011 9763013 10480701 12386283 15771021 19464159 24783033 29289039 44309059 45416371 57827077 68341091 107393143 132927177 136249113 173481231 205023273 310163413 322179429 487399649 576017767 577519769 751752001 930490239 1462198947 1728053301 1732559307 2255256003 3411797543 4032124369 4042638383 6336195437 6352717459 7507756997 10235392629 12096373107 12127915149 19008586311 19058152377 22523270991 34073666371 44353368059 44469022213 52554298979 82585326967 102220999113 133060104177 133407066639 157662896937 238515664597 247755980901 374810330081 442957662823 578097288769 715546993791 1124430990243 1328872988469 1734291866307 2623672310567 3100703639761 4872534291053 7871016931701 9302110919283 14617602873159 34107740037371 102323220112113