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1100100111012 = 223471728532527
BaseRepresentation
bin10000000000100011000…
…100111000101010100100
310220011112212102221020000
4100000203010320222210
5121011001112023022
62201213511141300
7142323335441250
oct20004304705244
93804485387200
101100100111012
11394605918971
12159259374830
137c97b75a466
143b3608c7260
151d9396786ac
hex10023138aa4

1100100111012 has 120 divisors (see below), whose sum is σ = 3480055375104. Its totient is φ = 295825229568.

The previous prime is 1100100110981. The next prime is 1100100111041. The reversal of 1100100111012 is 2101110010011.

It is a super-2 number, since 2×11001001110122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100100110985 and 1100100111003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14227708 + ... + 14304819.

Almost surely, 21100100111012 is an apocalyptic number.

1100100111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100100111012 is an abundant number, since it is smaller than the sum of its proper divisors (2379955264092).

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

1100100111012 is a wasteful number, since it uses less digits than its factorization.

1100100111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28532567 (or 28532556 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100100111012 its reverse (2101110010011), we get a palindrome (3201210121023).

The spelling of 1100100111012 in words is "one trillion, one hundred billion, one hundred million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 38556 28532527 57065054 85597581 114130108 171195162 199727689 256792743 342390324 399455378 485052959 513585486 599183067 770378229 798910756 970105918 1027170972 1198366134 1455158877 1540756458 1797549201 1940211836 2311134687 2396732268 2910317754 3081512916 3395370713 3595098402 4365476631 4622269374 5392647603 5820635508 6790741426 7190196804 8730953262 9244538748 10186112139 10785295206 13096429893 13581482852 16177942809 17461906524 20372224278 21570590412 26192859786 30558336417 32355885618 39289289679 40744448556 52385719572 61116672834 64711771236 78578579358 91675009251 122233345668 157157158716 183350018502 275025027753 366700037004 550050055506 1100100111012