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11312012432 = 2471728121143
BaseRepresentation
bin10101000100011111…
…11001110010010000
31002012100112202211102
422202033321302100
5141131333344212
65110251403532
7550215343040
oct124217716220
932170482742
1011312012432
114885377406
1222384535a8
1310b376cca6
147944cd720
154631725c2
hex2a23f9c90

11312012432 has 80 divisors (see below), whose sum is σ = 26617082112. Its totient is φ = 4546375680.

The previous prime is 11312012431. The next prime is 11312012461. The reversal of 11312012432 is 23421021311.

11312012432 is a modest number, since divided by 12432 gives 11312 as remainder.

It is not an unprimeable number, because it can be changed into a prime (11312012431) 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, 524453 + ... + 545595.

Almost surely, 211312012432 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 11312012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308541056).

11312012432 is an abundant number, since it is smaller than the sum of its proper divisors (15305069680).

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

11312012432 is a wasteful number, since it uses less digits than its factorization.

11312012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21456 (or 21450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11312012432 its reverse (23421021311), we get a palindrome (34733033743).

The spelling of 11312012432 in words is "eleven billion, three hundred twelve million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 281 476 562 952 1124 1904 1967 2248 3934 4496 4777 7868 9554 15736 19108 21143 31472 33439 38216 42286 66878 76432 84572 133756 148001 169144 267512 296002 338288 359431 535024 592004 718862 1184008 1437724 2368016 2516017 2875448 5032034 5750896 5941183 10064068 11882366 20128136 23764732 40256272 41588281 47529464 83176562 95058928 101000111 166353124 202000222 332706248 404000444 665412496 707000777 808000888 1414001554 1616001776 2828003108 5656006216 11312012432