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100111000010010 = 2351117127140512583
BaseRepresentation
bin10110110000110011101000…
…100101111111110100011010
3111010110111222201102021111120
4112300303220211333310122
5101110204312000310020
6552530205234110110
730041531622514623
oct2660635045776432
9433414881367446
10100111000010010
1129997922687640
12b28a22341b336
1343b2571884742
141aa1580b46a4a
15b891b459b740
hex5b0ce897fd1a

100111000010010 has 128 divisors (see below), whose sum is σ = 279712218415104. Its totient is φ = 22661869224960.

The previous prime is 100111000010003. The next prime is 100111000010011. The reversal of 100111000010010 is 10010000111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (100111000010011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69543822 + ... + 70968761.

It is an arithmetic number, because the mean of its divisors is an integer number (2185251706368).

Almost surely, 2100111000010010 is an apocalyptic number.

100111000010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111000010010 is an abundant number, since it is smaller than the sum of its proper divisors (179601218405094).

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

100111000010010 is a wasteful number, since it uses less digits than its factorization.

100111000010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140512748.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111000010010 its reverse (10010000111001), we get a palindrome (110121000121011).

The spelling of 100111000010010 in words is "one hundred trillion, one hundred eleven billion, ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 127 165 170 187 254 255 330 374 381 510 561 635 762 935 1122 1270 1397 1870 1905 2159 2794 2805 3810 4191 4318 5610 6477 6985 8382 10795 12954 13970 20955 21590 23749 32385 41910 47498 64770 71247 118745 142494 237490 356235 712470 140512583 281025166 421537749 702562915 843075498 1405125830 1545638413 2107688745 2388713911 3091276826 4215377490 4636915239 4777427822 7166141733 7728192065 9273830478 11943569555 14332283466 15456384130 17845098041 23184576195 23887139110 26275853021 35690196082 35830708665 46369152390 52551706042 53535294123 71661417330 78827559063 89225490205 107070588246 131379265105 157655118126 178450980410 196296078451 262758530210 267676470615 303366666697 392592156902 394137795315 535352941230 588888235353 606733333394 788275590630 910100000091 981480392255 1177776470706 1516833333485 1820200000182 1962960784510 2944441176765 3033666666970 3337033333667 4550500000455 5888882353530 6674066667334 9101000000910 10011100001001 16685166668335 20022200002002 33370333336670 50055500005005 100111000010010