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130121476875 = 3254131799941
BaseRepresentation
bin111100100101111011…
…0000010101100001011
3110102212101111220120100
41321023312002230023
54112442044230000
6135435454500443
712254350206225
oct1711366025413
9412771456510
10130121476875
11502031aa545
1221275504723
13c3690c7a40
14642568b415
1535b885ba00
hex1e4bd82b0b

130121476875 has 120 divisors (see below), whose sum is σ = 254371637520. Its totient is φ = 63695520000.

The previous prime is 130121476843. The next prime is 130121476897. The reversal of 130121476875 is 578674121031.

130121476875 is a `hidden beast` number, since 1 + 301 + 214 + 7 + 68 + 75 = 666.

It is not a de Polignac number, because 130121476875 - 25 = 130121476843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 130121476875.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13084405 + ... + 13094345.

It is an arithmetic number, because the mean of its divisors is an integer number (2119763646).

Almost surely, 2130121476875 is an apocalyptic number.

130121476875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130121476875 is a deficient number, since it is larger than the sum of its proper divisors (124250160645).

130121476875 is a wasteful number, since it uses less digits than its factorization.

130121476875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10141 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 130121476875 in words is "one hundred thirty billion, one hundred twenty-one million, four hundred seventy-six thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 179 195 225 325 375 537 585 625 895 975 1125 1611 1625 1875 2327 2685 2925 4475 4875 5625 6981 8055 8125 9941 11635 13425 14625 20943 22375 24375 29823 34905 40275 49705 58175 67125 73125 89469 104715 111875 129233 149115 174525 201375 248525 290875 335625 387699 447345 523575 646165 745575 872625 1006875 1163097 1242625 1454375 1779439 1938495 2236725 2617875 3230825 3727875 4363125 5338317 5815485 6213125 8897195 9692475 11183625 13089375 16014951 16154125 18639375 23132707 26691585 29077425 44485975 48462375 55918125 69398121 80074755 80770625 115663535 133457925 145387125 208194363 222429875 242311875 346990605 400373775 578317675 667289625 726935625 1040971815 1112149375 1734953025 2001868875 2891588375 3336448125 5204859075 8674765125 10009344375 14457941875 26024295375 43373825625 130121476875