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1100010110100 = 22352113110752787
BaseRepresentation
bin10000000000011101101…
…101100011110010010100
310220011022121002102011220
4100000131231203302110
5121010310042010400
62201200534130340
7142321163443026
oct20003555436224
93804277072156
101100010110100
1139456a036950
121592331b09b0
137c965c07c95
143b35297a016
151d9317eb7a0
hex1001db63c94

1100010110100 has 144 divisors (see below), whose sum is σ = 3584033273856. Its totient is φ = 258066864000.

The previous prime is 1100010110099. The next prime is 1100010110197. The reversal of 1100010110100 is 10110100011.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5274094 + ... + 5478693.

Almost surely, 21100010110100 is an apocalyptic number.

1100010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100010110100 is an abundant number, since it is smaller than the sum of its proper divisors (2484023163756).

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

1100010110100 is a wasteful number, since it uses less digits than its factorization.

1100010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752846 (or 10752839 counting only the distinct ones).

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

Adding to 1100010110100 its reverse (10110100011), we get a palindrome (1110120210111).

The spelling of 1100010110100 in words is "one trillion, one hundred billion, ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 10752787 21505574 32258361 43011148 53763935 64516722 107527870 118280657 129033444 161291805 215055740 236561314 268819675 322583610 333336397 354841971 473122628 537639350 591403285 645167220 666672794 709683942 806459025 1000009191 1075278700 1182806570 1333345588 1419367884 1612918050 1666681985 1774209855 2000018382 2365613140 2957016425 3225836100 3333363970 3548419710 3666700367 4000036764 5000045955 5914032850 6666727940 7096839420 7333400734 8333409925 8871049275 10000091910 11000101101 11828065700 14666801468 16666819850 17742098550 18333501835 20000183820 22000202202 25000229775 33333639700 35484197100 36667003670 44000404404 50000459550 55000505505 73334007340 91667509175 100000919100 110001011010 183335018350 220002022020 275002527525 366670036700 550005055050 1100010110100