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211031102106160 = 2457268059790997
BaseRepresentation
bin101111111110111010000001…
…111000001010101000110000
31000200012101011100101102200121
4233332322001320022220300
5210130013144114344120
62024454203331100024
762310331303164400
oct5776720170125060
91020171140342617
10211031102106160
1161271873629a26
121b8032a9141614
13909a1bc1b553b
143a17d61b30800
15195e60aec25aa
hexbfee81e0aa30

211031102106160 has 120 divisors (see below), whose sum is σ = 570762103775760. Its totient is φ = 72352366152192.

The previous prime is 211031102106113. The next prime is 211031102106193. The reversal of 211031102106160 is 61601201130112.

211031102106160 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 2×2110311021061602 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266395782 + ... + 267186778.

It is an arithmetic number, because the mean of its divisors is an integer number (4756350864798).

Almost surely, 2211031102106160 is an apocalyptic number.

211031102106160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211031102106160 is an abundant number, since it is smaller than the sum of its proper divisors (359731001669600).

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

211031102106160 is a wasteful number, since it uses less digits than its factorization.

211031102106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859083 (or 859070 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 211031102106160 its reverse (61601201130112), we get a palindrome (272632303236272).

The spelling of 211031102106160 in words is "two hundred eleven trillion, thirty-one billion, one hundred two million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 68059 136118 272236 340295 476413 544472 680590 790997 952826 1088944 1361180 1581994 1905652 2382065 2722360 3163988 3334891 3811304 3954985 4764130 5444720 5536979 6327976 6669782 7622608 7909970 9528260 11073958 12655952 13339564 15819940 16674455 19056520 22147916 26679128 27684895 31639880 33348910 38113040 38758853 44295832 53358256 55369790 63279760 66697820 77517706 88591664 110739580 133395640 155035412 193794265 221479160 266791280 310070824 387588530 442958320 620141648 775177060 1550354120 3100708240 53834464823 107668929646 215337859292 269172324115 376841253761 430675718584 538344648230 753682507522 861351437168 1076689296460 1507365015044 1884206268805 2153378592920 2637888776327 3014730030088 3768412537610 4306757185840 5275777552654 6029460060176 7536825075220 10551555105308 13189443881635 15073650150440 21103110210616 26378887763270 30147300300880 42206220421232 52757775526540 105515551053080 211031102106160