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131301313122 = 2376196417879
BaseRepresentation
bin111101001001000101…
…0110000101001100010
3110112220121120210122010
41322102022300221202
54122401114004442
6140152522453350
712325524514110
oct1722212605142
9415817523563
10131301313122
1150759193a21
1221544664256
13c4c667c3b5
1464d824cab0
153637212b9c
hex1e922b0a62

131301313122 has 64 divisors (see below), whose sum is σ = 301109299200. Its totient is φ = 37390878720.

The previous prime is 131301313109. The next prime is 131301313139. The reversal of 131301313122 is 221313103131.

It is a happy number.

It is a super-3 number, since 3×1313013131223 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 16660779 + ... + 16668657.

It is an arithmetic number, because the mean of its divisors is an integer number (4704832800).

Almost surely, 2131301313122 is an apocalyptic number.

131301313122 is an abundant number, since it is smaller than the sum of its proper divisors (169807986078).

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

131301313122 is a wasteful number, since it uses less digits than its factorization.

131301313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131301313122 its reverse (221313103131), we get a palindrome (352614416253).

The spelling of 131301313122 in words is "one hundred thirty-one billion, three hundred one million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 619 641 1238 1282 1857 1923 3714 3846 4333 4487 7879 8666 8974 12999 13461 15758 23637 25998 26922 47274 55153 110306 165459 330918 396779 793558 1190337 2380674 2777453 4877101 5050439 5554906 8332359 9754202 10100878 14631303 15151317 16664718 29262606 30302634 34139707 35353073 68279414 70706146 102419121 106059219 204838242 212118438 3126221741 6252443482 9378665223 18757330446 21883552187 43767104374 65650656561 131301313122