Search a number
-
+
201121000012200 = 23352418175650407
BaseRepresentation
bin101101101110101100100001…
…110000110011100110101000
3222101002222110021220222101210
4231232230201300303212220
5202330131302000342300
61551425413434113120
760235340604230442
oct5556544160634650
9871088407828353
10201121000012200
11590a0a34325324
121a68271bb7b7a0
13882b823984678
143794446125492
15183b943491050
hexb6eb21c339a8

201121000012200 has 96 divisors (see below), whose sum is σ = 638681809872960. Its totient is φ = 52324162598400.

The previous prime is 201121000012193. The next prime is 201121000012201. The reversal of 201121000012200 is 2210000121102.

201121000012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (201121000012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4087800604 + ... + 4087849803.

It is an arithmetic number, because the mean of its divisors is an integer number (6652935519510).

Almost surely, 2201121000012200 is an apocalyptic number.

201121000012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121000012200 is an abundant number, since it is smaller than the sum of its proper divisors (437560809860760).

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

201121000012200 is a wasteful number, since it uses less digits than its factorization.

201121000012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8175650467 (or 8175650458 counting only the distinct ones).

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

Adding to 201121000012200 its reverse (2210000121102), we get a palindrome (203331000133302).

The spelling of 201121000012200 in words is "two hundred one trillion, one hundred twenty-one billion, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 8175650407 16351300814 24526951221 32702601628 40878252035 49053902442 65405203256 81756504070 98107804884 122634756105 163513008140 196215609768 204391260175 245269512210 327026016280 335201666687 408782520350 490539024420 613173780525 670403333374 817565040700 981078048840 1005605000061 1226347561050 1340806666748 1635130081400 1676008333435 2011210000122 2452695122100 2681613333496 3352016666870 4022420000244 4905390244200 5028025000305 6704033333740 8044840000488 8380041667175 10056050000610 13408066667480 16760083334350 20112100001220 25140125001525 33520166668700 40224200002440 50280250003050 67040333337400 100560500006100 201121000012200