Search a number
-
+
131010201212121 = 3371173863232463
BaseRepresentation
bin11101110010011100110000…
…100000010101010011011001
3122011212110020011210222112000
4131302130300200111103121
5114132432343002241441
61142345131111511213
736411113626265640
oct3562346040252331
9564773204728460
10131010201212121
1138820129178840
121283a7a3388509
13581429412b0ca
14244ccdb384357
151022d216b62b6
hex7727308154d9

131010201212121 has 64 divisors (see below), whose sum is σ = 245296136970240. Its totient is φ = 67124956245120.

The previous prime is 131010201212117. The next prime is 131010201212179. The reversal of 131010201212121 is 121212102010131.

It is a happy number.

131010201212121 is a `hidden beast` number, since 1 + 310 + 1 + 0 + 20 + 1 + 212 + 121 = 666.

It is not a de Polignac number, because 131010201212121 - 22 = 131010201212117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131010201212094 and 131010201212103.

It is not an unprimeable number, because it can be changed into a prime (131010203212121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431464465 + ... + 431767998.

It is an arithmetic number, because the mean of its divisors is an integer number (3832752140160).

Almost surely, 2131010201212121 is an apocalyptic number.

131010201212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131010201212121 is a deficient number, since it is larger than the sum of its proper divisors (114285935758119).

131010201212121 is a wasteful number, since it uses less digits than its factorization.

131010201212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863232563 (or 863232557 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 131010201212121 its reverse (121212102010131), we get a palindrome (252222303222252).

The spelling of 131010201212121 in words is "one hundred thirty-one trillion, ten billion, two hundred one million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 73 77 99 189 219 231 297 511 657 693 803 1533 1971 2079 2409 4599 5621 7227 13797 16863 21681 50589 151767 863232463 2589697389 6042627241 7769092167 9495557093 18127881723 23307276501 28486671279 54383645169 63015969799 66468899651 85460013837 163150935507 189047909397 199406698953 256380041511 441111788593 567143728191 598220096859 693175667789 1323335365779 1701431184573 1794660290577 2079527003367 3970006097337 4852229674523 6238581010101 11910018292011 14556689023569 18715743030303 43670067070707 131010201212121