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10111537920 = 283511239383
BaseRepresentation
bin10010110101011000…
…11101001100000000
3222002200122100101110
421122230131030000
5131202023203140
64351205203320
7505400440251
oct113254351400
928080570343
1010111537920
114319777110
121b62400540
13c51b40843
146bccb8b28
153e2a91380
hex25ab1d300

10111537920 has 144 divisors (see below), whose sum is σ = 35229664512. Its totient is φ = 2451271680.

The previous prime is 10111537901. The next prime is 10111537951. The reversal of 10111537920 is 2973511101.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 77452 + ... + 161931.

It is an arithmetic number, because the mean of its divisors is an integer number (244650448).

Almost surely, 210111537920 is an apocalyptic number.

10111537920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111537920 is an abundant number, since it is smaller than the sum of its proper divisors (25118126592).

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

10111537920 is a wasteful number, since it uses less digits than its factorization.

10111537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239418 (or 239404 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 10111537920 in words is "ten billion, one hundred eleven million, five hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 239383 478766 718149 957532 1196915 1436298 1915064 2393830 2633213 2872596 3590745 3830128 4787660 5266426 5745192 7181490 7660256 7899639 9575320 10532852 11490384 13166065 14362980 15320512 15799278 19150640 21065704 22980768 26332130 28725960 30641024 31598556 38301280 39498195 42131408 45961536 52664260 57451920 61282048 63197112 76602560 78996390 84262816 91923072 105328520 114903840 126394224 153205120 157992780 168525632 183846144 210657040 229807680 252788448 306410240 315985560 337051264 421314080 459615360 505576896 631971120 674102528 842628160 919230720 1011153792 1263942240 1685256320 2022307584 2527884480 3370512640 5055768960 10111537920