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131112022215 = 35172331171881
BaseRepresentation
bin111101000011011100…
…0101011000011000111
3110112102102101211022210
41322012320223003013
54122004134202330
6140122041354503
712321035541426
oct1720670530307
9415372354283
10131112022215
1150671355959
12214b1198a33
13c4963a4645
1464bb0572bd
1536257c18b0
hex1e86e2b0c7

131112022215 has 64 divisors (see below), whose sum is σ = 232525043712. Its totient is φ = 62748364800.

The previous prime is 131112022183. The next prime is 131112022247. The reversal of 131112022215 is 512220211131.

It is an interprime number because it is at equal distance from previous prime (131112022183) and next prime (131112022247).

It is not a de Polignac number, because 131112022215 - 25 = 131112022183 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131112022191 and 131112022200.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1788075 + ... + 1859955.

It is an arithmetic number, because the mean of its divisors is an integer number (3633203808).

Almost surely, 2131112022215 is an apocalyptic number.

131112022215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131112022215 is a deficient number, since it is larger than the sum of its proper divisors (101413021497).

131112022215 is a wasteful number, since it uses less digits than its factorization.

131112022215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72240.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 131112022215 its reverse (512220211131), we get a palindrome (643332233346).

The spelling of 131112022215 in words is "one hundred thirty-one billion, one hundred twelve million, twenty-two thousand, two hundred fifteen".

Divisors: 1 3 5 15 17 23 51 69 85 115 255 311 345 391 933 1173 1555 1955 4665 5287 5865 7153 15861 21459 26435 35765 71881 79305 107295 121601 215643 359405 364803 608005 1078215 1221977 1653263 1824015 3665931 4959789 6109885 8266315 18329655 22354991 24798945 28105471 67064973 84316413 111774955 140527355 335324865 380034847 421582065 514164793 1140104541 1542494379 1900174235 2570823965 5700522705 7712471895 8740801481 26222404443 43704007405 131112022215