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220100120102120 = 235172191002094883
BaseRepresentation
bin110010000010111000001101…
…011110010100010011101000
31001212022100212210201201121112
4302002320031132110103220
5212322110021221231440
62100040333240525452
764234465105223036
oct6202701536242350
91055270783651545
10220100120102120
1164148a33887a35
1220828a64a80888
1395a7476c1389b
143c4cc8cc47556
151a6a498985965
hexc82e0d7944e8

220100120102120 has 96 divisors (see below), whose sum is σ = 553757632898400. Its totient is φ = 78500104676352.

The previous prime is 220100120102117. The next prime is 220100120102141. The reversal of 220100120102120 is 21201021001022.

It is a junction number, because it is equal to n+sod(n) for n = 220100120102095 and 220100120102104.

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, 500827802 + ... + 501267081.

It is an arithmetic number, because the mean of its divisors is an integer number (5768308676025).

Almost surely, 2220100120102120 is an apocalyptic number.

220100120102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220100120102120 is an abundant number, since it is smaller than the sum of its proper divisors (333657512796280).

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

220100120102120 is a wasteful number, since it uses less digits than its factorization.

220100120102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002094947 (or 1002094926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220100120102120 its reverse (21201021001022), we get a palindrome (241301141103142).

The spelling of 220100120102120 in words is "two hundred twenty trillion, one hundred billion, one hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 289 323 340 380 578 646 680 760 1156 1292 1445 1615 2312 2584 2890 3230 5491 5780 6460 10982 11560 12920 21964 27455 43928 54910 109820 219640 1002094883 2004189766 4008379532 5010474415 8016759064 10020948830 17035613011 19039802777 20041897660 34071226022 38079605554 40083795320 68142452044 76159211108 85178065055 95199013885 136284904088 152318422216 170356130110 190398027770 289605421187 323676647209 340712260220 380796055540 579210842374 647353294418 681424520440 761592111080 1158421684748 1294706588836 1448027105935 1618383236045 2316843369496 2589413177672 2896054211870 3236766472090 5502503002553 5792108423740 6473532944180 11005006005106 11584216847480 12947065888360 22010012010212 27512515012765 44020024020424 55025030025530 110050060051060 220100120102120