Search a number
-
+
20201210112 = 283434211453
BaseRepresentation
bin10010110100000101…
…100000000100000000
31221010212010210122010
4102310011200010000
5312333002210422
613140314012520
71313414311206
oct226405400400
957125123563
1020201210112
118627069176
123ab9417140
131b9c296985
14d98d01076
157d3763b0c
hex4b4160100

20201210112 has 144 divisors (see below), whose sum is σ = 55183650368. Its totient is φ = 6556999680.

The previous prime is 20201210111. The next prime is 20201210129. The reversal of 20201210112 is 21101210202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20201210111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13902378 + ... + 13903830.

Almost surely, 220201210112 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 20201210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27591825184).

20201210112 is an abundant number, since it is smaller than the sum of its proper divisors (34982440256).

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

20201210112 is a wasteful number, since it uses less digits than its factorization.

20201210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20201210112 its reverse (21101210202), we get a palindrome (41302420314).

The spelling of 20201210112 in words is "twenty billion, two hundred one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 421 516 688 768 842 1032 1263 1376 1453 1684 2064 2526 2752 2906 3368 4128 4359 5052 5504 5812 6736 8256 8718 10104 11008 11624 13472 16512 17436 18103 20208 23248 26944 33024 34872 36206 40416 46496 53888 54309 62479 69744 72412 80832 92992 107776 108618 124958 139488 144824 161664 185984 187437 217236 249916 278976 289648 323328 371968 374874 434472 499832 557952 579296 611713 749748 868944 999664 1115904 1158592 1223426 1499496 1737888 1835139 1999328 2317184 2446852 2998992 3475776 3670278 3998656 4634368 4893704 5997984 6951552 7340556 7997312 9787408 11995968 13903104 14681112 15994624 19574816 23991936 26303659 29362224 39149632 47983872 52607318 58724448 78299264 78910977 105214636 117448896 156598528 157821954 210429272 234897792 315643908 420858544 469795584 631287816 841717088 1262575632 1683434176 2525151264 3366868352 5050302528 6733736704 10100605056 20201210112