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100919091120 = 2435823510931
BaseRepresentation
bin101110111111100111…
…1110001111110110000
3100122111020002000020120
41131333033301332300
53123140241403440
6114210034210240
710201604056311
oct1357717617660
9318436060216
10100919091120
1139888217941
1217685723980
13969405b943
144c5514a608
152959c87dd0
hex177f3f1fb0

100919091120 has 80 divisors (see below), whose sum is σ = 313229928192. Its totient is φ = 26879005440.

The previous prime is 100919091061. The next prime is 100919091121. The reversal of 100919091120 is 21190919001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (100919091121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57946 + ... + 452985.

Almost surely, 2100919091120 is an apocalyptic number.

100919091120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100919091120 is an abundant number, since it is smaller than the sum of its proper divisors (212310837072).

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

100919091120 is a wasteful number, since it uses less digits than its factorization.

100919091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511770 (or 511764 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 100919091120 in words is "one hundred billion, nine hundred nineteen million, ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 823 1646 2469 3292 4115 4938 6584 8230 9876 12345 13168 16460 19752 24690 32920 39504 49380 65840 98760 197520 510931 1021862 1532793 2043724 2554655 3065586 4087448 5109310 6131172 7663965 8174896 10218620 12262344 15327930 20437240 24524688 30655860 40874480 61311720 122623440 420496213 840992426 1261488639 1681984852 2102481065 2522977278 3363969704 4204962130 5045954556 6307443195 6727939408 8409924260 10091909112 12614886390 16819848520 20183818224 25229772780 33639697040 50459545560 100919091120