Search a number
-
+
645131102121 = 33112377175169
BaseRepresentation
bin10010110001101001100…
…11110110011110101001
32021200012021222120212000
421120310303312132221
541032212030231441
61212211422241213
764415643614142
oct11306463663651
92250167876760
10645131102121
11229664763600
12a5045126209
1348ab2a8196c
14233200bcac9
1511bac0562b6
hex9634cf67a9

645131102121 has 96 divisors (see below), whose sum is σ = 1094138438400. Its totient is φ = 375058252800.

The previous prime is 645131102113. The next prime is 645131102129. The reversal of 645131102121 is 121201131546.

645131102121 is a `hidden beast` number, since 645 + 1 + 3 + 1 + 1 + 0 + 2 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (645131102113) and next prime (645131102129).

It is not a de Polignac number, because 645131102121 - 23 = 645131102113 is a prime.

It is a super-2 number, since 2×6451311021212 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (645131102129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8544825 + ... + 8619993.

It is an arithmetic number, because the mean of its divisors is an integer number (11397275400).

Almost surely, 2645131102121 is an apocalyptic number.

It is an amenable number.

645131102121 is a deficient number, since it is larger than the sum of its proper divisors (449007336279).

645131102121 is a wasteful number, since it uses less digits than its factorization.

645131102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75308 (or 75291 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 645131102121 its reverse (121201131546), we get a palindrome (766332233667).

The spelling of 645131102121 in words is "six hundred forty-five billion, one hundred thirty-one million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 37 71 99 111 121 213 297 333 363 407 639 781 999 1089 1221 1917 2343 2627 3267 3663 4477 7029 7881 8591 10989 13431 21087 23643 25773 28897 40293 70929 75169 77319 86691 120879 225507 231957 260073 317867 676521 780219 826859 953601 2029563 2480577 2781253 2860803 5336999 7441731 8343759 8582409 9095449 16010997 22325193 25031277 27286347 30593783 48032991 58706989 75093831 81859041 91781349 144098973 176120967 197468963 245577123 275344047 336531613 528362901 592406889 645776879 826032141 1009594839 1585088703 1777220667 1937330637 2172158593 3028784517 5331662001 5811991911 6516475779 9086353551 17435975733 19549427337 23893744523 58648282011 71681233569 215043700707 645131102121