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12325020435 = 32571321271823
BaseRepresentation
bin10110111101010000…
…01110001100010011
31011210221200220120100
423132220032030103
5200220201123220
65354555543443
7614265642120
oct133650161423
934727626510
1012325020435
115255175302
12247b75ab83
1312155b2c00
1484cc65747
154c2072d90
hex2dea0e313

12325020435 has 144 divisors (see below), whose sum is σ = 26660634624. Its totient is φ = 5157105408.

The previous prime is 12325020431. The next prime is 12325020439. The reversal of 12325020435 is 53402052321.

It is a happy number.

12325020435 is a `hidden beast` number, since 123 + 2 + 502 + 0 + 4 + 35 = 666.

12325020435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12325020431) and next prime (12325020439).

It is not a de Polignac number, because 12325020435 - 22 = 12325020431 is a prime.

It is a super-2 number, since 2×123250204352 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12325020399 and 12325020408.

It is not an unprimeable number, because it can be changed into a prime (12325020431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6759934 + ... + 6761756.

It is an arithmetic number, because the mean of its divisors is an integer number (185143296).

Almost surely, 212325020435 is an apocalyptic number.

12325020435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12325020435 is an abundant number, since it is smaller than the sum of its proper divisors (14335614189).

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

12325020435 is a wasteful number, since it uses less digits than its factorization.

12325020435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 12325020435 its reverse (53402052321), we get a palindrome (65727072756).

The spelling of 12325020435 in words is "twelve billion, three hundred twenty-five million, twenty thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 127 169 195 273 315 381 455 507 585 635 819 845 889 1143 1183 1365 1521 1651 1823 1905 2535 2667 3549 4095 4445 4953 5469 5715 5915 7605 8001 8255 9115 10647 11557 12761 13335 14859 16407 17745 21463 23699 24765 27345 34671 38283 40005 53235 57785 63805 64389 71097 74295 82035 104013 107315 114849 118495 150241 165893 173355 191415 193167 213291 231521 308087 321945 355485 450723 497679 520065 574245 694563 751205 829465 924261 965835 1066455 1157605 1352169 1493037 1540435 1620647 2083689 2156609 2253615 2488395 2772783 3009773 3472815 4621305 4861941 6469827 6760845 7465185 8103235 9029319 10418445 10783045 13863915 14585823 15048865 19409481 21068411 24309705 27087957 32349135 39127049 45146595 63205233 72929115 97047405 105342055 117381147 135439785 189615699 195635245 273889343 316026165 352143441 586905735 821668029 948078495 1369446715 1760717205 2465004087 4108340145 12325020435