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20330031040 = 2651119929023
BaseRepresentation
bin10010111011110000…
…111010011111000000
31221110211112120201121
4102323300322133000
5313113441443130
613201155042024
71316540261344
oct227360723700
957424476647
1020330031040
118692855250
123b345a0314
131bbcb8b887
14dac075624
157dec0cd7a
hex4bbc3a7c0

20330031040 has 112 divisors (see below), whose sum is σ = 53079091200. Its totient is φ = 7355335680.

The previous prime is 20330030999. The next prime is 20330031041. The reversal of 20330031040 is 4013003302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330031041) 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, 685969 + ... + 714991.

Almost surely, 220330031040 is an apocalyptic number.

20330031040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26539545600).

20330031040 is an abundant number, since it is smaller than the sum of its proper divisors (32749060160).

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

20330031040 is a wasteful number, since it uses less digits than its factorization.

20330031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29250 (or 29240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20330031040 its reverse (4013003302), we get a palindrome (24343034342).

The spelling of 20330031040 in words is "twenty billion, three hundred thirty million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 199 220 320 352 398 440 704 796 880 995 1592 1760 1990 2189 3184 3520 3980 4378 6368 7960 8756 10945 12736 15920 17512 21890 29023 31840 35024 43780 58046 63680 70048 87560 116092 140096 145115 175120 232184 290230 319253 350240 464368 580460 638506 700480 928736 1160920 1277012 1596265 1857472 2321840 2554024 3192530 4643680 5108048 5775577 6385060 9287360 10216096 11551154 12770120 20432192 23102308 25540240 28877885 46204616 51080480 57755770 63531347 92409232 102160960 115511540 127062694 184818464 231023080 254125388 317656735 369636928 462046160 508250776 635313470 924092320 1016501552 1270626940 1848184640 2033003104 2541253880 4066006208 5082507760 10165015520 20330031040