Search a number
-
+
31023103113112 = 23118329691430587
BaseRepresentation
bin1110000110111001000010…
…00010100111011110011000
311001211210001101200221011011
413003130201002213132120
513031240303344104422
6145551452233343304
76351226262354155
oct703344102473630
9131753041627134
1031023103113112
119980907a33860
12359059a567b34
131440609c5a706
14793751c8322c
1538beae91c077
hex1c37210a7798

31023103113112 has 64 divisors (see below), whose sum is σ = 64242556963200. Its totient is φ = 13926811933440.

The previous prime is 31023103113097. The next prime is 31023103113113. The reversal of 31023103113112 is 21131130132013.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023103113113) 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, 20970283 + ... + 22400869.

It is an arithmetic number, because the mean of its divisors is an integer number (1003789952550).

Almost surely, 231023103113112 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 31023103113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32121278481600).

31023103113112 is an abundant number, since it is smaller than the sum of its proper divisors (33219453850088).

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

31023103113112 is a wasteful number, since it uses less digits than its factorization.

31023103113112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433656 (or 1433652 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 31023103113112 its reverse (21131130132013), we get a palindrome (52154233245125).

The spelling of 31023103113112 in words is "thirty-one trillion, twenty-three billion, one hundred three million, one hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 664 913 1826 2969 3652 5938 7304 11876 23752 32659 65318 130636 246427 261272 492854 985708 1430587 1971416 2710697 2861174 5421394 5722348 10842788 11444696 15736457 21685576 31472914 62945828 118738721 125891656 237477442 474954884 949909768 1306125931 2612251862 4247412803 5224503724 8494825606 10449007448 16989651212 33979302424 46721540833 93443081666 186886163332 352535262649 373772326664 705070525298 1410141050596 2820282101192 3877887889139 7755775778278 15511551556556 31023103113112