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21102112012120 = 23513119931376451
BaseRepresentation
bin1001100110001001101111…
…11000111111011101011000
32202201100020110122121100121
410303010313320333131120
510231214111133341440
6112514102035243024
74305402002403106
oct463046770773530
982640213577317
1021102112012120
1167a63a0110a97
122449892749474
13ba0bc77c4509
1452d4c201ac76
15268daae7334a
hex133137e3f758

21102112012120 has 128 divisors (see below), whose sum is σ = 48105389376000. Its totient is φ = 8330370048000.

The previous prime is 21102112012039. The next prime is 21102112012249. The reversal of 21102112012120 is 2121021120112.

It is a junction number, because it is equal to n+sod(n) for n = 21102112012094 and 21102112012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3271134895 + ... + 3271141345.

It is an arithmetic number, because the mean of its divisors is an integer number (375823354500).

Almost surely, 221102112012120 is an apocalyptic number.

21102112012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102112012120 is an abundant number, since it is smaller than the sum of its proper divisors (27003277363880).

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

21102112012120 is a wasteful number, since it uses less digits than its factorization.

21102112012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9929 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21102112012120 its reverse (2121021120112), we get a palindrome (23223133132232).

The spelling of 21102112012120 in words is "twenty-one trillion, one hundred two billion, one hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 131 199 262 398 524 655 796 995 1048 1310 1592 1990 2620 3137 3980 5240 6274 6451 7960 12548 12902 15685 25096 25804 26069 31370 32255 51608 52138 62740 64510 104276 125480 129020 130345 208552 258040 260690 410947 521380 624263 821894 845081 1042760 1248526 1283749 1643788 1690162 2054735 2497052 2567498 3121315 3287576 3380324 4109470 4225405 4994104 5134996 6242630 6418745 6760648 8218940 8450810 10269992 12485260 12837490 16437880 16901620 20236787 24970520 25674980 33803240 40473574 51349960 80947148 81778453 101183935 161894296 163556906 168171119 202367870 327113812 336342238 404735740 408892265 654227624 672684476 809471480 817784530 840855595 1345368952 1635569060 1681711190 2651019097 3271138120 3363422380 4027120613 5302038194 6726844760 8054241226 10604076388 13255095485 16108482452 20135603065 21208152776 26510190970 32216964904 40271206130 53020381940 80542412260 106040763880 161084824520 527552800303 1055105600606 2110211201212 2637764001515 4220422402424 5275528003030 10551056006060 21102112012120