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20131140432 = 2431360753149
BaseRepresentation
bin10010101111111010…
…001101001101010000
31220221222021220002210
4102233322031031100
5312212032443212
613125332112120
71311603604344
oct225772151520
956858256083
1020131140432
1185a055a847
123a99a65640
131b8a902520
14d8d8a1624
157cc52253c
hex4afe8d350

20131140432 has 80 divisors (see below), whose sum is σ = 56099187200. Its totient is φ = 6183876096.

The previous prime is 20131140401. The next prime is 20131140443. The reversal of 20131140432 is 23404113102.

It is a junction number, because it is equal to n+sod(n) for n = 20131140399 and 20131140408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352194 + ... + 405342.

It is an arithmetic number, because the mean of its divisors is an integer number (701239840).

Almost surely, 220131140432 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 20131140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28049593600).

20131140432 is an abundant number, since it is smaller than the sum of its proper divisors (35968046768).

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

20131140432 is a wasteful number, since it uses less digits than its factorization.

20131140432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53780 (or 53774 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20131140432 its reverse (23404113102), we get a palindrome (43535253534).

The spelling of 20131140432 in words is "twenty billion, one hundred thirty-one million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 607 624 1214 1821 2428 3642 4856 7284 7891 9712 14568 15782 23673 29136 31564 47346 53149 63128 94692 106298 126256 159447 189384 212596 318894 378768 425192 637788 690937 850384 1275576 1381874 2072811 2551152 2763748 4145622 5527496 8291244 11054992 16582488 32261443 33164976 64522886 96784329 129045772 193568658 258091544 387137316 419398759 516183088 774274632 838797518 1258196277 1548549264 1677595036 2516392554 3355190072 5032785108 6710380144 10065570216 20131140432