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12101311013100 = 223521710912174891
BaseRepresentation
bin1011000000011000111001…
…0110000010000011101100
31120211212121011121210220220
42300012032112002003230
53041231441104404400
641423133204411340
72356201524300441
oct260061626020354
946755534553826
1012101311013100
11394615664a501
1214353946a6b50
1369a1c19c200a
142db9c6bc99c8
1515ebb22c37a0
hexb018e5820ec

12101311013100 has 144 divisors (see below), whose sum is σ = 37106719767936. Its totient is φ = 3034406528000.

The previous prime is 12101311013023. The next prime is 12101311013123. The reversal of 12101311013100 is 131011310121.

It is a super-2 number, since 2×121013110131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101311013100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4476655 + ... + 6651545.

It is an arithmetic number, because the mean of its divisors is an integer number (257685553944).

Almost surely, 212101311013100 is an apocalyptic number.

12101311013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101311013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553359883968).

12101311013100 is an abundant number, since it is smaller than the sum of its proper divisors (25005408754836).

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

12101311013100 is a wasteful number, since it uses less digits than its factorization.

12101311013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176016 (or 2176009 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 12101311013100 its reverse (131011310121), we get a palindrome (12232322323221).

The spelling of 12101311013100 in words is "twelve trillion, one hundred one billion, three hundred eleven million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1091 1275 1700 2182 2550 3273 4364 5100 5455 6546 10910 13092 16365 18547 21820 27275 32730 37094 54550 55641 65460 74188 81825 92735 109100 111282 163650 185470 222564 278205 327300 370940 463675 556410 927350 1112820 1391025 1854700 2174891 2782050 4349782 5564100 6524673 8699564 10874455 13049346 21748910 26098692 32623365 36973147 43497820 54372275 65246730 73946294 108744550 110919441 130493460 147892588 163116825 184865735 217489100 221838882 326233650 369731470 443677764 554597205 652467300 739462940 924328675 1109194410 1848657350 2218388820 2372806081 2772986025 3697314700 4745612162 5545972050 7118418243 9491224324 11091944100 11864030405 14236836486 23728060810 28473672972 35592091215 40337703377 47456121620 59320152025 71184182430 80675406754 118640304050 121013110131 142368364860 161350813508 177960456075 201688516885 237280608100 242026220262 355920912150 403377033770 484052440524 605065550655 711841824300 806754067540 1008442584425 1210131101310 2016885168850 2420262202620 3025327753275 4033770337700 6050655506550 12101311013100