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201120012021020 = 225192377572966539
BaseRepresentation
bin101101101110101011100110…
…110111111010110100011100
3222101002212220102211211021212
4231232223212313322310130
5202330122241034133040
61551425131422043552
760235304246363621
oct5556534667726434
9871085812754255
10201120012021020
11590a0577663994
121a6824a51195b8
13882b6c70904c1
143794390c22348
15183b8d6882d65
hexb6eae6dfad1c

201120012021020 has 96 divisors (see below), whose sum is σ = 463970653171200. Its totient is φ = 72890828930304.

The previous prime is 201120012020959. The next prime is 201120012021023. The reversal of 201120012021020 is 20120210021102.

It is a junction number, because it is equal to n+sod(n) for n = 201120012020986 and 201120012021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120012021023) 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, 66312911 + ... + 69279449.

It is an arithmetic number, because the mean of its divisors is an integer number (4833027637200).

Almost surely, 2201120012021020 is an apocalyptic number.

201120012021020 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 201120012021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231985326585600).

201120012021020 is an abundant number, since it is smaller than the sum of its proper divisors (262850641150180).

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

201120012021020 is a wasteful number, since it uses less digits than its factorization.

201120012021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974347 (or 2974345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201120012021020 its reverse (20120210021102), we get a palindrome (221240222042122).

The spelling of 201120012021020 in words is "two hundred one trillion, one hundred twenty billion, twelve million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 4370 7757 8740 15514 31028 38785 77570 147383 155140 178411 294766 356822 589532 713644 736915 892055 1473830 1784110 2947660 2966539 3389809 3568220 5933078 6779618 11866156 13559236 14832695 16949045 29665390 33898090 56364241 59330780 67796180 68230397 112728482 136460794 225456964 272921588 281821205 341151985 563642410 682303970 1127284820 1296377543 1364607940 2592755086 5185510172 6481887715 12963775430 23011443023 25927550860 46022886046 92045772092 115057215115 230114430230 437217417437 460228860460 529263189529 874434834874 1058526379058 1748869669748 2117052758116 2186087087185 2646315947645 4372174174370 5292631895290 8744348348740 10056000601051 10585263790580 20112001202102 40224002404204 50280003005255 100560006010510 201120012021020