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131011142101406 = 27671014213284747
BaseRepresentation
bin11101110010011101101000…
…100101100010100110011110
3122011212112122202021002222022
4131302131220211202212132
5114132441304334221111
61142345404322220142
736411146142565250
oct3562355045424636
9564775582232868
10131011142101406
1138820571298896
121283aa064b4652
1358143b4040028
14244cd8a305cd0
151022d790bd2db
hex77276896299e

131011142101406 has 64 divisors (see below), whose sum is σ = 230746346832384. Its totient is φ = 54631895472000.

The previous prime is 131011142101381. The next prime is 131011142101421. The reversal of 131011142101406 is 604101241110131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38242325 + ... + 41527071.

It is an arithmetic number, because the mean of its divisors is an integer number (3605411669256).

Almost surely, 2131011142101406 is an apocalyptic number.

131011142101406 is a deficient number, since it is larger than the sum of its proper divisors (99735204730978).

131011142101406 is a wasteful number, since it uses less digits than its factorization.

131011142101406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285345.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 131011142101406 its reverse (604101241110131), we get a palindrome (735112383211537).

The spelling of 131011142101406 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, one hundred one thousand, four hundred six".

Divisors: 1 2 7 14 67 101 134 202 421 469 707 842 938 1414 2947 5894 6767 13534 28207 42521 47369 56414 85042 94738 197449 297647 394898 595294 2848907 3284747 5697814 6569494 19942349 22993229 39884698 45986458 220078049 331759447 440156098 663518894 1382878487 1540546343 2322316129 2765756974 3081092686 4644632258 9680149409 19360298818 22227882949 44455765898 92652858629 139670727187 155595180643 185305717258 279341454374 311190361286 648570010403 977695090309 1297140020806 1955390180618 9357938721529 18715877443058 65505571050703 131011142101406