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102130130223 = 321121746711813
BaseRepresentation
bin101111100011101101…
…1100001110100101111
3100202121121212011120200
41133013123201310233
53133130303131343
6114530135044543
710243610532462
oct1370733416457
9322547764520
10102130130223
113a349883500
1217963210753
139827c19924
144d2bd112d9
1529cb2544d3
hex17c76e1d2f

102130130223 has 72 divisors (see below), whose sum is σ = 172072044144. Its totient is φ = 58126379520.

The previous prime is 102130130213. The next prime is 102130130227. The reversal of 102130130223 is 322031031201.

It is not a de Polignac number, because 102130130223 - 28 = 102130129967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102130130196 and 102130130205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130130227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8639665 + ... + 8651477.

It is an arithmetic number, because the mean of its divisors is an integer number (2389889502).

Almost surely, 2102130130223 is an apocalyptic number.

102130130223 is a deficient number, since it is larger than the sum of its proper divisors (69941913921).

102130130223 is a wasteful number, since it uses less digits than its factorization.

102130130223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102130130223 its reverse (322031031201), we get a palindrome (424161161424).

The spelling of 102130130223 in words is "one hundred two billion, one hundred thirty million, one hundred thirty thousand, two hundred twenty-three".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 467 561 1089 1401 1683 2057 4203 5137 6171 7939 11813 15411 18513 23817 35439 46233 56507 71451 87329 106317 129943 169521 200821 261987 389829 508563 602463 785961 960619 1169487 1429373 1807389 2209031 2881857 4288119 5516671 6627093 8645571 12864357 16550013 19881279 24299341 49650039 60683381 72898023 93783407 182050143 218694069 281350221 546150429 667517191 844050663 1031617477 2002551573 3094852431 6007654719 9284557293 11347792247 34043376741 102130130223