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201120213102131 = 235310713938928517
BaseRepresentation
bin101101101110101011110010…
…110110111110111000110011
3222101002220102110012210201102
4231232223302312332320303
5202330123144023232011
61551425203403555015
760235312240503131
oct5556536266767063
9871086373183642
10201120213102131
11590a0670115124
121a68254052ba6b
13882b7299358cb
1437943ad806751
15183b8e935273b
hexb6eaf2dbee33

201120213102131 has 64 divisors (see below), whose sum is σ = 217941765350400. Its totient is φ = 185153236409856.

The previous prime is 201120213102101. The next prime is 201120213102187. The reversal of 201120213102131 is 131201312021102.

It is not a de Polignac number, because 201120213102131 - 226 = 201120145993267 is a prime.

It is a super-2 number, since 2×2011202131021312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201120213102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7052628485 + ... + 7052657001.

It is an arithmetic number, because the mean of its divisors is an integer number (3405340083600).

Almost surely, 2201120213102131 is an apocalyptic number.

201120213102131 is a deficient number, since it is larger than the sum of its proper divisors (16821552248269).

201120213102131 is a wasteful number, since it uses less digits than its factorization.

201120213102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29228.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201120213102131 its reverse (131201312021102), we get a palindrome (332321525123233).

The spelling of 201120213102131 in words is "two hundred one trillion, one hundred twenty billion, two hundred thirteen million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 23 53 107 139 389 1219 2461 3197 5671 7367 8947 14873 20617 28517 41623 54071 130433 169441 342079 474191 655891 788269 957329 1243633 1511401 2206019 2865763 3051319 3963863 5785597 11093113 18130187 34762223 50738437 65912549 70180337 91168849 133068731 161719907 210084739 255141599 306636641 424133341 587934989 1186963091 1541942707 3719557861 4831948997 7052642743 9755066843 13522504747 22479067073 27300151093 35464682261 62909043823 81722963471 164987869649 517018542679 1446908007929 1879628159833 3794721001927 8744357091397 201120213102131