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10032311204244 = 22327326111220777
BaseRepresentation
bin1001000111111101010001…
…0110000111100110010100
31022112002011000110111101200
42101333110112013212110
52303332133132013434
633200440302152500
72053545011141040
oct221772426074624
938462130414350
1010032311204244
113218752150aaa
1211603b4882730
1357a0732b94a4
142697d04c1020
15125e6b903199
hex91fd4587994

10032311204244 has 72 divisors (see below), whose sum is σ = 28983144835008. Its totient is φ = 2866284385920.

The previous prime is 10032311204243. The next prime is 10032311204309. The reversal of 10032311204244 is 44240211323001.

10032311204244 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 231 + 1 + 2 + 0 + 424 + 4 = 666.

10032311204244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100323112042442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032311204243) 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, 7607584 + ... + 8828360.

It is an arithmetic number, because the mean of its divisors is an integer number (402543678264).

Almost surely, 210032311204244 is an apocalyptic number.

10032311204244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10032311204244 is an abundant number, since it is smaller than the sum of its proper divisors (18950833630764).

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

10032311204244 is a wasteful number, since it uses less digits than its factorization.

10032311204244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253405 (or 1253400 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10032311204244 its reverse (44240211323001), we get a palindrome (54272522527245).

The spelling of 10032311204244 in words is "ten trillion, thirty-two billion, three hundred eleven million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 32611 65222 97833 130444 195666 228277 293499 391332 456554 586998 684831 913108 1173996 1220777 1369662 2054493 2441554 2739324 3662331 4108986 4883108 7324662 8217972 8545439 10986993 14649324 17090878 21973986 25636317 34181756 43947972 51272634 76908951 102545268 153817902 307635804 39810758747 79621517494 119432276241 159243034988 238864552482 278675311229 358296828723 477729104964 557350622458 716593657446 836025933687 1114701244916 1433187314892 1672051867374 2508077801061 3344103734748 5016155602122 10032311204244