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1131222131221 = 713311014019901
BaseRepresentation
bin10000011101100010000…
…101111110001000010101
311000010212211000100222011
4100131202011332020111
5122013220331144341
62223402024104221
7144504511315120
oct20354205761025
94003784010864
101131222131221
113a6826447326
121632a4005071
138289b413030
143ca73d633b7
151e65ba37b81
hex1076217e215

1131222131221 has 64 divisors (see below), whose sum is σ = 1455181443072. Its totient is φ = 855360000000.

The previous prime is 1131222131153. The next prime is 1131222131231. The reversal of 1131222131221 is 1221312221311.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131222131221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1131222131192 and 1131222131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131222131231) 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, 114248371 + ... + 114258271.

It is an arithmetic number, because the mean of its divisors is an integer number (22737210048).

Almost surely, 21131222131221 is an apocalyptic number.

It is an amenable number.

1131222131221 is a deficient number, since it is larger than the sum of its proper divisors (323959311851).

1131222131221 is a wasteful number, since it uses less digits than its factorization.

1131222131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454.

The product of its digits is 288, while the sum is 22.

Adding to 1131222131221 its reverse (1221312221311), we get a palindrome (2352534352532).

The spelling of 1131222131221 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 7 13 31 91 101 217 401 403 707 1313 2807 2821 3131 5213 9191 9901 12431 21917 36491 40501 40703 69307 87017 128713 161603 283507 284921 306931 526513 900991 1000001 1131221 1255531 2148517 3685591 3970301 3990103 7000007 8788717 13000013 16321903 27792107 27930721 31000031 51613913 91000091 114253321 123079331 217000217 361297391 401000401 403000403 861555317 1600031303 2807002807 2821002821 5213005213 11200219121 12431012431 36491036491 87017087017 161603161603 1131222131221