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2021012011120 = 245239071210999
BaseRepresentation
bin11101011010001101101…
…100111111100001110000
321011012120210122121111011
4131122031230333201300
5231103013033323440
64144235021200304
7266004363436504
oct35321554774160
97135523577434
102021012011120
1170a119657833
12287828a00094
131187717c324b
146db6332c304
15378879ed9ea
hex1d68db3f870

2021012011120 has 80 divisors (see below), whose sum is σ = 4908560832000. Its totient is φ = 772403588352.

The previous prime is 2021012011093. The next prime is 2021012011163. The reversal of 2021012011120 is 211102101202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2021012011120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063381 + ... + 2274379.

It is an arithmetic number, because the mean of its divisors is an integer number (61357010400).

Almost surely, 22021012011120 is an apocalyptic number.

2021012011120 is a gapful number since it is divisible by the number (20) 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 2021012011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454280416000).

2021012011120 is an abundant number, since it is smaller than the sum of its proper divisors (2887548820880).

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

2021012011120 is a wasteful number, since it uses less digits than its factorization.

2021012011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211942 (or 1211936 counting only the distinct ones).

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

Adding to 2021012011120 its reverse (211102101202), we get a palindrome (2232114112322).

The spelling of 2021012011120 in words is "two trillion, twenty-one billion, twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 907 920 1814 1840 3628 4535 7256 9070 14512 18140 20861 36280 41722 72560 83444 104305 166888 208610 333776 417220 834440 1210999 1668880 2421998 4843996 6054995 9687992 12109990 19375984 24219980 27852977 48439960 55705954 96879920 111411908 139264885 222823816 278529770 445647632 557059540 1098376093 1114119080 2196752186 2228238160 4393504372 5491880465 8787008744 10983760930 17574017488 21967521860 25262650139 43935043720 50525300278 87870087440 101050600556 126313250695 202101201112 252626501390 404202402224 505253002780 1010506005560 2021012011120