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20101011112 = 237131011671637
BaseRepresentation
bin10010101110000111…
…010001011010101000
31220212212121011110001
4102232013101122220
5312131324323422
613122334232344
71311056526640
oct225607213250
956785534401
1020101011112
118585551186
123a8b9556b4
131b845b3720
14d8989b520
157c9a70227
hex4ae1d16a8

20101011112 has 128 divisors (see below), whose sum is σ = 47155530240. Its totient is φ = 7821388800.

The previous prime is 20101011109. The next prime is 20101011113. The reversal of 20101011112 is 21111010102.

It is not an unprimeable number, because it can be changed into a prime (20101011113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12278358 + ... + 12279994.

It is an arithmetic number, because the mean of its divisors is an integer number (368402580).

Almost surely, 220101011112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577765120).

20101011112 is an abundant number, since it is smaller than the sum of its proper divisors (27054519128).

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

20101011112 is a wasteful number, since it uses less digits than its factorization.

20101011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20101011112 its reverse (21111010102), we get a palindrome (41212021214).

The spelling of 20101011112 in words is "twenty billion, one hundred one million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 167 182 202 334 364 404 668 707 728 808 1169 1313 1336 1414 1637 2171 2338 2626 2828 3274 4342 4676 5252 5656 6548 8684 9191 9352 10504 11459 13096 15197 16867 17368 18382 21281 22918 30394 33734 36764 42562 45836 60788 67468 73528 85124 91672 118069 121576 134936 148967 165337 170248 219271 236138 273379 297934 330674 438542 472276 546758 595868 661348 877084 944552 1093516 1157359 1191736 1322696 1534897 1754168 1913653 2149381 2187032 2314718 3069794 3553927 3827306 4298762 4629436 6139588 7107854 7654612 8597524 9258872 12279176 14215708 15045667 15309224 17195048 24877489 27611279 28431416 30091334 49754978 55222558 60182668 99509956 110445116 120365336 193278953 199019912 220890232 358946627 386557906 717893254 773115812 1435786508 1546231624 2512626389 2871573016 5025252778 10050505556 20101011112