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11102122013290 = 257113432771159
BaseRepresentation
bin1010000110001110101000…
…0010011111001001101010
31110022100111222020110112221
42201203222002133021222
52423344121213411130
635340124444424254
72224046635031440
oct241435202371152
943270458213487
1011102122013290
1135a0424499000
1212b37ba24808a
13626c0575b259
142a54ba372b90
15143bd1d5887a
hexa18ea09f26a

11102122013290 has 128 divisors (see below), whose sum is σ = 25705014128640. Its totient is φ = 3379925989440.

The previous prime is 11102122013249. The next prime is 11102122013291. The reversal of 11102122013290 is 9231022120111.

It is a super-2 number, since 2×111021220132902 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11102122013291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2620731 + ... + 5391889.

It is an arithmetic number, because the mean of its divisors is an integer number (200820422880).

Almost surely, 211102122013290 is an apocalyptic number.

11102122013290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11102122013290 is an abundant number, since it is smaller than the sum of its proper divisors (14602892115350).

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

11102122013290 is a wasteful number, since it uses less digits than its factorization.

11102122013290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771249 (or 2771227 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 11102122013290 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, thirteen thousand, two hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 43 55 70 77 86 110 121 154 215 242 301 385 430 473 602 605 770 847 946 1210 1331 1505 1694 2365 2662 3010 3311 4235 4730 5203 6622 6655 8470 9317 10406 13310 16555 18634 26015 33110 36421 46585 52030 57233 72842 93170 114466 182105 286165 364210 400631 572330 801262 2003155 2771159 4006310 5542318 13855795 19398113 27711590 30482749 38796226 60965498 96990565 119159837 152413745 193981130 213379243 238319674 304827490 335310239 426758486 595799185 670620478 834118859 1066896215 1191598370 1310758207 1668237718 1676551195 2133792430 2347171673 2621516414 3353102390 3688412629 4170594295 4694343346 6553791035 7376825258 8341188590 9175307449 11735858365 13107582070 14418340277 18350614898 18442063145 23471716730 25818888403 28836680554 36884126290 45876537245 51637776806 72091701385 91753074490 100928381939 129094442015 144183402770 158601743047 201856763878 258188884030 317203486094 504641909695 793008715235 1009283819390 1110212201329 1586017430470 2220424402658 5551061006645 11102122013290