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31212320112 = 2433972772689
BaseRepresentation
bin11101000100011001…
…100011010101110000
32222120020111010221000
4131010121203111300
51002410323220422
622201100202000
72153320225551
oct350431432560
988506433830
1031212320112
11122675a5086
126070b39300
132c355b118c
141721464328
15c2a299cac
hex744663570

31212320112 has 160 divisors (see below), whose sum is σ = 90875086400. Its totient is φ = 10255859712.

The previous prime is 31212320101. The next prime is 31212320137. The reversal of 31212320112 is 21102321213.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 11606064 + ... + 11608752.

It is an arithmetic number, because the mean of its divisors is an integer number (567969290).

Almost surely, 231212320112 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 31212320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45437543200).

31212320112 is an abundant number, since it is smaller than the sum of its proper divisors (59662766288).

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

31212320112 is a wasteful number, since it uses less digits than its factorization.

31212320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31212320112 its reverse (21102321213), we get a palindrome (52314641325).

The spelling of 31212320112 in words is "thirty-one billion, two hundred twelve million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 277 291 388 432 554 582 776 831 873 1108 1164 1552 1662 1746 2216 2328 2493 2619 2689 3324 3492 4432 4656 4986 5238 5378 6648 6984 7479 8067 9972 10476 10756 13296 13968 14958 16134 19944 20952 21512 24201 26869 29916 32268 39888 41904 43024 48402 53738 59832 64536 72603 80607 96804 107476 119664 129072 145206 161214 193608 214952 241821 260833 290412 322428 387216 429904 483642 521666 580824 644856 725463 744853 782499 967284 1043332 1161648 1289712 1450926 1489706 1564998 1934568 2086664 2234559 2347497 2901852 2979412 3129996 3869136 4173328 4469118 4694994 5803704 5958824 6259992 6703677 7042491 8938236 9389988 11607408 11917648 12519984 13407354 14084982 17876472 18779976 20111031 26814708 28169964 35752944 37559952 40222062 53629416 56339928 72250741 80444124 107258832 112679856 144501482 160888248 216752223 289002964 321776496 433504446 578005928 650256669 867008892 1156011856 1300513338 1734017784 1950770007 2601026676 3468035568 3901540014 5202053352 7803080028 10404106704 15606160056 31212320112