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131052240125040 = 24351323231071009
BaseRepresentation
bin11101110011000011111010…
…001110000011110001110000
3122012000110201221110000201210
4131303003322032003301300
5114134124441433000130
61142420322403400120
736414132452201163
oct3563037216036160
9565013657400653
10131052240125040
1138836a41031283
1212846976083040
135818233730800
142450d68659ada
151023e8219a5b0
hex7730fa383c70

131052240125040 has 120 divisors (see below), whose sum is σ = 439916780153520. Its totient is φ = 32259012943872.

The previous prime is 131052240124961. The next prime is 131052240125089. The reversal of 131052240125040 is 40521042250131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1310522401250402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131052240124989 and 131052240125007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615494945 + ... + 1615576064.

It is an arithmetic number, because the mean of its divisors is an integer number (3665973167946).

Almost surely, 2131052240125040 is an apocalyptic number.

131052240125040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131052240125040 is an abundant number, since it is smaller than the sum of its proper divisors (308864540028480).

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

131052240125040 is a wasteful number, since it uses less digits than its factorization.

131052240125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231071051 (or 3231071032 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 131052240125040 its reverse (40521042250131), we get a palindrome (171573282375171).

The spelling of 131052240125040 in words is "one hundred thirty-one trillion, fifty-two billion, two hundred forty million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 3231071009 6462142018 9693213027 12924284036 16155355045 19386426054 25848568072 32310710090 38772852108 42003923117 48466065135 51697136144 64621420180 77545704216 84007846234 96932130270 126011769351 129242840360 155091408432 168015692468 193864260540 210019615585 252023538702 258485680720 336031384936 387728521080 420039231170 504047077404 546051000521 630058846755 672062769872 775457042160 840078462340 1008094154808 1092102001042 1260117693510 1638153001563 1680156924680 2016188309616 2184204002084 2520235387020 2730255002605 3276306003126 3360313849360 4368408004168 5040470774040 5460510005210 6552612006252 8190765007815 8736816008336 10080941548080 10921020010420 13105224012504 16381530015630 21842040020840 26210448025008 32763060031260 43684080041680 65526120062520 131052240125040