Search a number
-
+
201121112120202 = 2357313741378807
BaseRepresentation
bin101101101110101100101000…
…011100011101101110001010
3222101002222202002212122200000
4231232230220130131232022
5202330132014200321302
61551425432521023430
760235343435152101
oct5556545034355612
9871088662778600
10201121112120202
11590a0a9163676a
121a682751624b76
13882b840c77371
143794456d89038
15183b94d23831c
hexb6eb2871db8a

201121112120202 has 96 divisors (see below), whose sum is σ = 461435942927232. Its totient is φ = 65639365473024.

The previous prime is 201121112120177. The next prime is 201121112120231. The reversal of 201121112120202 is 202021211121102.

201121112120202 is a `hidden beast` number, since 201 + 121 + 1 + 121 + 20 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15828918 + ... + 25549889.

It is an arithmetic number, because the mean of its divisors is an integer number (4806624405492).

Almost surely, 2201121112120202 is an apocalyptic number.

201121112120202 is an abundant number, since it is smaller than the sum of its proper divisors (260314830807030).

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

201121112120202 is a wasteful number, since it uses less digits than its factorization.

201121112120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41379034 (or 41379022 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201121112120202 its reverse (202021211121102), we get a palindrome (403142323241304).

The spelling of 201121112120202 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 73 81 137 146 162 219 243 274 411 438 486 657 822 1233 1314 1971 2466 3699 3942 5913 7398 10001 11097 11826 17739 20002 22194 30003 33291 35478 60006 66582 90009 180018 270027 540054 810081 1620162 2430243 4860486 41378807 82757614 124136421 248272842 372409263 744818526 1117227789 2234455578 3020652911 3351683367 5668896559 6041305822 6703366734 9061958733 10055050101 11337793118 17006689677 18123917466 20110100202 27185876199 34013379354 51020069031 54371752398 81557628597 102040138062 153060207093 163115257194 244672885791 306120414186 413829448807 459180621279 489345771582 734018657373 827658897614 918361242558 1241488346421 1377541863837 1468037314746 2482976692842 2755083727674 3724465039263 7448930078526 11173395117789 22346790235578 33520185353367 67040370706734 100560556060101 201121112120202