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110001011102120 = 235113179135958139
BaseRepresentation
bin11001000000101110011011…
…001100010001000110101000
3112102110222211121010002110202
4121000232123030101012220
5103404224032320231440
61025541433351131332
732112211412660255
oct3100563314210650
9472428747102422
10110001011102120
1132060192057186
1210406b24073b48
13494c0878c7a38
141d2411233c42c
15cab5a3388615
hex640b9b3111a8

110001011102120 has 64 divisors (see below), whose sum is σ = 251087492952000. Its totient is φ = 43367383026688.

The previous prime is 110001011102119. The next prime is 110001011102167. The reversal of 110001011102120 is 21201110100011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67169990 + ... + 68788149.

It is an arithmetic number, because the mean of its divisors is an integer number (3923242077375).

Almost surely, 2110001011102120 is an apocalyptic number.

110001011102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001011102120 is an abundant number, since it is smaller than the sum of its proper divisors (141086481849880).

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

110001011102120 is a wasteful number, since it uses less digits than its factorization.

110001011102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135958442 (or 135958438 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110001011102120 its reverse (21201110100011), we get a palindrome (131202121202131).

The spelling of 110001011102120 in words is "one hundred ten trillion, one billion, eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 179 226 358 452 565 716 895 904 1130 1432 1790 2260 3580 4520 7160 20227 40454 80908 101135 161816 202270 404540 809080 135958139 271916278 543832556 679790695 1087665112 1359581390 2719162780 5438325560 15363269707 24336506881 30726539414 48673013762 61453078828 76816348535 97346027524 121682534405 122906157656 153632697070 194692055048 243365068810 307265394140 486730137620 614530788280 973460275240 2750025277553 5500050555106 11000101110212 13750126387765 22000202220424 27500252775530 55000505551060 110001011102120