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313115140340325 = 325231431099577781
BaseRepresentation
bin100011100110001101100110…
…0101101101011101001100101
31112001122111220111022102210200
41013030123030231223221211
5312020034301411342300
63025535035405541113
7122644552033135041
oct10714331455535145
91461574814272720
10313115140340325
119084a426911074
122b14b98ab74799
1310593828514c0b
145746bd45d5021
15262ec9b517200
hex11cc6ccb6ba65

313115140340325 has 144 divisors (see below), whose sum is σ = 597812971092480. Its totient is φ = 156401316288000.

The previous prime is 313115140340287. The next prime is 313115140340437. The reversal of 313115140340325 is 523043041511313.

313115140340325 is a `hidden beast` number, since 3 + 1 + 31 + 151 + 403 + 40 + 32 + 5 = 666.

It is not a de Polignac number, because 313115140340325 - 28 = 313115140340069 is a prime.

It is a super-2 number, since 2×3131151403403252 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313115140340325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27902935 + ... + 37480715.

It is an arithmetic number, because the mean of its divisors is an integer number (4151478965920).

Almost surely, 2313115140340325 is an apocalyptic number.

It is an amenable number.

313115140340325 is a deficient number, since it is larger than the sum of its proper divisors (284697830752155).

313115140340325 is a wasteful number, since it uses less digits than its factorization.

313115140340325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577980 (or 9577972 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 313115140340325 its reverse (523043041511313), we get a palindrome (836158181851638).

The spelling of 313115140340325 in words is "three hundred thirteen trillion, one hundred fifteen billion, one hundred forty million, three hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 43 45 75 93 109 129 155 215 225 279 327 387 465 545 645 775 981 1075 1333 1395 1635 1935 2325 2725 3225 3379 3999 4687 4905 6665 6975 8175 9675 10137 11997 14061 16895 19995 23435 24525 30411 33325 42183 50685 59985 70305 84475 99975 117175 145297 152055 210915 253425 299925 351525 435891 726485 760275 1054575 1307673 2179455 3632425 6538365 9577781 10897275 28733343 32691825 47888905 86200029 143666715 239444525 296911211 411844583 431000145 718333575 890733633 1043978129 1235533749 1484556055 2059222915 2155000725 2672200899 3131934387 3706601247 4453668165 5219890645 6177668745 7422780275 9395803161 10296114575 12767182073 13361004495 15659671935 18533006235 22268340825 26099453225 30888343725 32363321999 38301546219 44891059547 46979015805 63835910365 66805022475 78298359675 92665031175 97089965997 114904638657 134673178641 161816609995 191507731095 224455297735 234895079025 291269897991 319179551825 404019535923 485449829985 574523193285 673365893205 809083049975 957538655475 1122276488675 1391622845957 1456349489955 2020097679615 2427249149925 2872615966425 3366829466025 4174868537871 6958114229785 7281747449775 10100488398075 12524605613613 20874342689355 34790571148925 62623028068065 104371713446775 313115140340325