Search a number
-
+
31103112012 = 22372479110431
BaseRepresentation
bin11100111101111000…
…111101001101001100
32222021121222210120120
4130331320331031030
51002144344041022
622142155344540
72150523042600
oct347570751514
988247883516
1031103112012
1112210994455
126040452150
132c18a953bb
141710b57500
15c208c6d5c
hex73de3d34c

31103112012 has 72 divisors (see below), whose sum is σ = 84599746560. Its totient is φ = 8867970720.

The previous prime is 31103112011. The next prime is 31103112067. The reversal of 31103112012 is 21021130113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31103111982 and 31103112000.

It is not an unprimeable number, because it can be changed into a prime (31103112011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226437 + ... + 336867.

It is an arithmetic number, because the mean of its divisors is an integer number (1174996480).

Almost surely, 231103112012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31103112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42299873280).

31103112012 is an abundant number, since it is smaller than the sum of its proper divisors (53496634548).

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

31103112012 is a wasteful number, since it uses less digits than its factorization.

31103112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110931 (or 110922 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31103112012 its reverse (21021130113), we get a palindrome (52124242125).

The spelling of 31103112012 in words is "thirty-one billion, one hundred three million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 479 588 958 1437 1916 2874 3353 5748 6706 10059 13412 20118 23471 40236 46942 70413 93884 110431 140826 220862 281652 331293 441724 662586 773017 1325172 1546034 2319051 3092068 4638102 5411119 9276204 10822238 16233357 21644476 32466714 52896449 64933428 105792898 158689347 211585796 317378694 370275143 634757388 740550286 1110825429 1481100572 2221650858 2591926001 4443301716 5183852002 7775778003 10367704004 15551556006 31103112012