Search a number
-
+
112121002001020 = 225671374519135151
BaseRepresentation
bin11001011111100100110100…
…011111110000001001111100
3112200222122220102000011120111
4121133210310133300021330
5104143442303003013040
61034243402141355404
732421321644204035
oct3137446437601174
9480878812004514
10112121002001020
11327a8282706311
12106a9974868b64
134a73c714aaaac
141d98984c45a8c
15ce67d061edea
hex65f9347f027c

112121002001020 has 96 divisors (see below), whose sum is σ = 240767687301120. Its totient is φ = 43846517721600.

The previous prime is 112121002000951. The next prime is 112121002001027. The reversal of 112121002001020 is 20100200121211.

It is a super-2 number, since 2×1121210020010202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121002001027) 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, 829530445 + ... + 829665595.

It is an arithmetic number, because the mean of its divisors is an integer number (2507996742720).

Almost surely, 2112121002001020 is an apocalyptic number.

112121002001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121002001020 is an abundant number, since it is smaller than the sum of its proper divisors (128646685300100).

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

112121002001020 is a wasteful number, since it uses less digits than its factorization.

112121002001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139883 (or 139881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112121002001020 its reverse (20100200121211), we get a palindrome (132221202122231).

The spelling of 112121002001020 in words is "one hundred twelve trillion, one hundred twenty-one billion, two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 137 268 274 335 548 670 685 1340 1370 2740 4519 9038 9179 18076 18358 22595 36716 45190 45895 90380 91790 135151 183580 270302 302773 540604 605546 619103 675755 1211092 1238206 1351510 1513865 2476412 2703020 3027730 3095515 6055460 6191030 9055117 12382060 18110234 18515687 36220468 37031374 41479901 45275585 74062748 82959802 90551170 92578435 165919604 181102340 185156870 207399505 370313740 414799010 610747369 829598020 1221494738 1240551029 2442989476 2481102058 3053736845 4962204116 6107473690 6202755145 12214947380 12405510290 24811020580 40920073723 81840147446 83672389553 163680294892 167344779106 204600368615 334689558212 409200737230 418361947765 818401474460 836723895530 1673447791060 5606050100051 11212100200102 22424200400204 28030250500255 56060501000510 112121002001020