Search a number
-
+
3131143102032 = 2431141144638909
BaseRepresentation
bin101101100100000110101…
…011000001111001010000
3102002100000202011010021020
4231210012223001321100
5402300040113231112
610354232143155440
7442134434142321
oct55440653017120
912070022133236
103131143102032
11aa7a0171a330
12426a055a5b80
1319935b496b6a
14ab796120448
15566acb0448c
hex2d906ac1e50

3131143102032 has 80 divisors (see below), whose sum is σ = 9039353319360. Its totient is φ = 925689011200.

The previous prime is 3131143101959. The next prime is 3131143102039. The reversal of 3131143102032 is 2302013411313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3131143101993 and 3131143102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131143102039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72297807 + ... + 72341102.

It is an arithmetic number, because the mean of its divisors is an integer number (112991916492).

Almost surely, 23131143102032 is an apocalyptic number.

It is an amenable number.

3131143102032 is an abundant number, since it is smaller than the sum of its proper divisors (5908210217328).

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

3131143102032 is a wasteful number, since it uses less digits than its factorization.

3131143102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144638972 (or 144638966 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3131143102032 its reverse (2302013411313), we get a palindrome (5433156513345).

The spelling of 3131143102032 in words is "three trillion, one hundred thirty-one billion, one hundred forty-three million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5412 7216 10824 21648 144638909 289277818 433916727 578555636 867833454 1157111272 1591027999 1735666908 2314222544 3182055998 3471333816 4773083997 5930195269 6364111996 6942667632 9546167994 11860390538 12728223992 17790585807 19092335988 23720781076 25456447984 35581171614 38184671976 47441562152 65232147959 71162343228 76369343952 94883124304 130464295918 142324686456 195696443877 260928591836 284649372912 391392887754 521857183672 782785775508 1043714367344 1565571551016 3131143102032