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3112312212432 = 243259859742611
BaseRepresentation
bin101101010010100100010…
…000111000101111010000
3102000112102101111210222200
4231102210100320233100
5401443003411244212
610341435420003200
7440566666211463
oct55224420705720
912015371453880
103112312212432
11a9aa19119255
1242322b090500
1319764a089837
14aa8cb2072da
1555e598216dc
hex2d4a4438bd0

3112312212432 has 120 divisors (see below), whose sum is σ = 8859019459680. Its totient is φ = 1019711159040.

The previous prime is 3112312212409. The next prime is 3112312212469. The reversal of 3112312212432 is 2342122132113.

3112312212432 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 3 + 1 + 221 + 2 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3112312212396 and 3112312212405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73018807 + ... + 73061417.

It is an arithmetic number, because the mean of its divisors is an integer number (73825162164).

Almost surely, 23112312212432 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 3112312212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429509729840).

3112312212432 is an abundant number, since it is smaller than the sum of its proper divisors (5746707247248).

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

3112312212432 is a wasteful number, since it uses less digits than its factorization.

3112312212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51281 (or 51272 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 3112312212432 its reverse (2342122132113), we get a palindrome (5454434344545).

The spelling of 3112312212432 in words is "three trillion, one hundred twelve billion, three hundred twelve million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 8597 17194 25791 34388 42611 51582 68776 77373 85222 103164 127833 137552 154746 170444 206328 255666 309492 340888 383499 412656 507223 511332 618984 681776 766998 1014446 1022664 1237968 1521669 1533996 2028892 2045328 2514049 3043338 3067992 4057784 4565007 5028098 6086676 6135984 7542147 8115568 9130014 10056196 12173352 15084294 18260028 20112392 22626441 24346704 30168588 36520056 40224784 45252882 60337176 73040112 90505764 120674352 181011528 362023056 366326767 732653534 1098980301 1465307068 2197960602 2930614136 3296940903 4395921204 5861228272 6593881806 8791842408 13187763612 17583684816 21613279253 26375527224 43226558506 52751054448 64839837759 86453117012 129679675518 172906234024 194519513277 259359351036 345812468048 389039026554 518718702072 778078053108 1037437404144 1556156106216 3112312212432