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1131022201311 = 32373396463067
BaseRepresentation
bin10000011101010110001…
…011010011000111011111
311000010100212210212200200
4100131112023103013133
5122012313140420221
62223330122554543
7144466533042102
oct20352613230737
94003325725620
101131022201311
113a6733601aa2
12163249068a53
1382868b81902
143ca5559c739
151e6491e4426
hex107562d31df

1131022201311 has 12 divisors (see below), whose sum is σ = 1677852755592. Its totient is φ = 733636022256.

The previous prime is 1131022201303. The next prime is 1131022201333.

1131022201311 is a `hidden beast` number, since 1 + 1 + 310 + 2 + 220 + 131 + 1 = 666.

1131022201311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131022201311 - 23 = 1131022201303 is a prime.

It is a super-2 number, since 2×11310222013112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131022201381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1698231201 + ... + 1698231866.

It is an arithmetic number, because the mean of its divisors is an integer number (139821062966).

Almost surely, 21131022201311 is an apocalyptic number.

1131022201311 is a deficient number, since it is larger than the sum of its proper divisors (546830554281).

1131022201311 is a wasteful number, since it uses less digits than its factorization.

1131022201311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396463110 (or 3396463107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1131022201311 in words is "one trillion, one hundred thirty-one billion, twenty-two million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 9 37 111 333 3396463067 10189389201 30568167603 125669133479 377007400437 1131022201311