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1130131332231 = 3112910149123813
BaseRepresentation
bin10000011100100001000…
…100111001110010000111
311000001001210111001001120
4100130201010321302013
5122004002110112411
62223101500325023
7144435464553126
oct20344104716207
94001053431046
101130131332231
113a6316746960
1216303a843773
1382756434345
143c9ad13babd
151e5e5dbd106
hex10721139c87

1130131332231 has 64 divisors (see below), whose sum is σ = 1720917757440. Its totient is φ = 653401280000.

The previous prime is 1130131332191. The next prime is 1130131332241. The reversal of 1130131332231 is 1322331310311.

It is a cyclic number.

It is not a de Polignac number, because 1130131332231 - 26 = 1130131332167 is a prime.

It is a super-2 number, since 2×11301313322312 (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 (1130131332241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47446681 + ... + 47470493.

It is an arithmetic number, because the mean of its divisors is an integer number (26889339960).

Almost surely, 21130131332231 is an apocalyptic number.

1130131332231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1130131332231 is a deficient number, since it is larger than the sum of its proper divisors (590786425209).

1130131332231 is a wasteful number, since it uses less digits than its factorization.

1130131332231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24448.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1130131332231 its reverse (1322331310311), we get a palindrome (2452462642542).

The spelling of 1130131332231 in words is "one trillion, one hundred thirty billion, one hundred thirty-one million, three hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 29 33 87 101 303 319 491 957 1111 1473 2929 3333 5401 8787 14239 16203 23813 32219 42717 49591 71439 96657 148773 156629 261943 469887 545501 690577 785829 1438139 1636503 2071731 2405113 4314417 7215339 7596347 11692183 15819529 22789041 26456243 35076549 47458587 69748277 79368729 128614013 209244831 339073307 385842039 767231047 1017219921 1180910483 2301693141 3542731449 3729806377 11189419131 12990015313 34246404007 38970045939 102739212021 376710444077 1130131332231