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100111001111110 = 25112960152217569
BaseRepresentation
bin10110110000110011101000…
…101010001100101001000110
3111010110111222210111012221001
4112300303220222030221012
5101110204312241023420
6552530205313443514
730041531635052053
oct2660635052145106
9433414883435831
10100111001111110
1129997923269940
12b28a22387059a
1343b2571b7b992
141aa1580d5202a
15b891b4717b0a
hex5b0ce8a8ca46

100111001111110 has 64 divisors (see below), whose sum is σ = 203698651867200. Its totient is φ = 35090205696000.

The previous prime is 100111001111039. The next prime is 100111001111137. The reversal of 100111001111110 is 11111100111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24191595 + ... + 28025974.

It is an arithmetic number, because the mean of its divisors is an integer number (3182791435425).

Almost surely, 2100111001111110 is an apocalyptic number.

100111001111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111001111110 is an abundant number, since it is smaller than the sum of its proper divisors (103587650756090).

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

100111001111110 is a wasteful number, since it uses less digits than its factorization.

100111001111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52218217.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111001111110 its reverse (11111100111001), we get a palindrome (111222101222111).

The spelling of 100111001111110 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 601 638 1202 1595 3005 3190 6010 6611 13222 17429 33055 34858 66110 87145 174290 191719 383438 958595 1917190 52217569 104435138 261087845 522175690 574393259 1148786518 1514309501 2871966295 3028619002 5743932590 7571547505 15143095010 16657404511 31382758969 33314809022 62765517938 83287022555 156913794845 166574045110 313827589690 345210348659 690420697318 910100010101 1726051743295 1820200020202 3452103486590 4550500050505 9101000101010 10011100111111 20022200222222 50055500555555 100111001111110