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11103387672 = 23313174120441
BaseRepresentation
bin10100101011101000…
…00100000000011000
31001122210222112110110
422111310010000120
5140214431401142
65033440044320
7542103144426
oct122564040030
931583875413
1011103387672
114788633553
12219a6036a0
13107c4860a0
14774904116
1544ebb299c
hex295d04018

11103387672 has 64 divisors (see below), whose sum is σ = 29912369760. Its totient is φ = 3414297600.

The previous prime is 11103387641. The next prime is 11103387697. The reversal of 11103387672 is 27678330111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11103387672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532972 + ... + 553412.

Almost surely, 211103387672 is an apocalyptic number.

11103387672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11103387672 is an abundant number, since it is smaller than the sum of its proper divisors (18808982088).

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

11103387672 is a wasteful number, since it uses less digits than its factorization.

11103387672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22204 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 11103387672 in words is "eleven billion, one hundred three million, three hundred eighty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1741 3482 5223 6964 10446 13928 20441 20892 22633 40882 41784 45266 61323 67899 81764 90532 122646 135798 163528 181064 245292 265733 271596 490584 531466 543192 797199 1062932 1594398 2125864 3188796 6377592 35587781 71175562 106763343 142351124 213526686 284702248 427053372 462641153 854106744 925282306 1387923459 1850564612 2775846918 3701129224 5551693836 11103387672