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10111302090 = 2345234091327
BaseRepresentation
bin10010110101010111…
…00011100111001010
3222002200012100220000
421122223203213022
5131201443131330
64351200143430
7505365435561
oct113253434712
928080170800
1010111302090
114319625a0a
121b62307b76
13c51a8a3b6
146bcc56bd8
153e2a46560
hex25aae39ca

10111302090 has 160 divisors (see below), whose sum is σ = 28461058560. Its totient is φ = 2570870016.

The previous prime is 10111302077. The next prime is 10111302101. The reversal of 10111302090 is 9020311101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7619007 + ... + 7620333.

It is an arithmetic number, because the mean of its divisors is an integer number (177881616).

Almost surely, 210111302090 is an apocalyptic number.

10111302090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111302090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230529280).

10111302090 is an abundant number, since it is smaller than the sum of its proper divisors (18349756470).

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

10111302090 is a wasteful number, since it uses less digits than its factorization.

10111302090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10111302090 its reverse (9020311101), we get a palindrome (19131613191).

The spelling of 10111302090 in words is "ten billion, one hundred eleven million, three hundred two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 409 414 621 690 810 818 1035 1227 1242 1327 1863 2045 2070 2454 2654 3105 3681 3726 3981 4090 6135 6210 6635 7362 7962 9315 9407 11043 11943 12270 13270 18405 18630 18814 19905 22086 23886 28221 30521 33129 35829 36810 39810 47035 55215 56442 59715 61042 66258 71658 84663 91563 94070 107487 110430 119430 141105 152605 165645 169326 179145 183126 214974 253989 274689 282210 305210 331290 358290 423315 457815 507978 537435 542743 549378 761967 824067 846630 915630 1074870 1085486 1269945 1373445 1523934 1628229 1648134 2472201 2539890 2713715 2746890 3256458 3809835 4120335 4884687 4944402 5427430 7619670 8141145 8240670 9769374 12361005 12483089 14654061 16282290 24423435 24722010 24966178 29308122 37449267 43962183 48846870 62415445 73270305 74898534 87924366 112347801 124830890 146540610 187246335 219810915 224695602 337043403 374492670 439621830 561739005 674086806 1011130209 1123478010 1685217015 2022260418 3370434030 5055651045 10111302090