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103874211720 = 233252231293899
BaseRepresentation
bin110000010111101100…
…0101010111110001000
3100221010011122200121200
41200233120222332020
53200213244233340
6115415200504200
710335046142256
oct1405730527610
9327104580550
10103874211720
1140064314774
121816b31b060
139a4535b706
1450557cd5d6
152a7e414330
hex182f62af88

103874211720 has 96 divisors (see below), whose sum is σ = 339105312000. Its totient is φ = 27575554176.

The previous prime is 103874211697. The next prime is 103874211751. The reversal of 103874211720 is 27112478301.

103874211720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566670 + ... + 727229.

It is an arithmetic number, because the mean of its divisors is an integer number (3532347000).

Almost surely, 2103874211720 is an apocalyptic number.

103874211720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103874211720 is an abundant number, since it is smaller than the sum of its proper divisors (235231100280).

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

103874211720 is a wasteful number, since it uses less digits than its factorization.

103874211720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294139 (or 1294132 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 103874211720 in words is "one hundred three billion, eight hundred seventy-four million, two hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 223 360 446 669 892 1115 1338 1784 2007 2230 2676 3345 4014 4460 5352 6690 8028 8920 10035 13380 16056 20070 26760 40140 80280 1293899 2587798 3881697 5175596 6469495 7763394 10351192 11645091 12938990 15526788 19408485 23290182 25877980 31053576 38816970 46580364 51755960 58225455 77633940 93160728 116450910 155267880 232901820 288539477 465803640 577078954 865618431 1154157908 1442697385 1731236862 2308315816 2596855293 2885394770 3462473724 4328092155 5193710586 5770789540 6924947448 8656184310 10387421172 11541579080 12984276465 17312368620 20774842344 25968552930 34624737240 51937105860 103874211720