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1131430421310 = 23576538250787
BaseRepresentation
bin10000011101101110100…
…000100010001100111110
311000011102022221121020220
4100131232200202030332
5122014132141440220
62223434424322210
7144512620620630
oct20355640421476
94004368847226
101131430421310
113a6922a817a2
12163341913366
13829026107c7
143ca938a2a50
151e66ee7d540
hex1076e82233e

1131430421310 has 64 divisors (see below), whose sum is σ = 3108104842752. Its totient is φ = 258216598656.

The previous prime is 1131430421287. The next prime is 1131430421311. The reversal of 1131430421310 is 131240341311.

It is a happy number.

It is a super-2 number, since 2×11314304213102 (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 (1131430421311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3988264 + ... + 4262523.

It is an arithmetic number, because the mean of its divisors is an integer number (48564138168).

Almost surely, 21131430421310 is an apocalyptic number.

1131430421310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131430421310 is an abundant number, since it is smaller than the sum of its proper divisors (1976674421442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131430421310 is a wasteful number, since it uses less digits than its factorization.

1131430421310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251457.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1131430421310 its reverse (131240341311), we get a palindrome (1262670762621).

The spelling of 1131430421310 in words is "one trillion, one hundred thirty-one billion, four hundred thirty million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 653 1306 1959 3265 3918 4571 6530 9142 9795 13713 19590 22855 27426 45710 68565 137130 8250787 16501574 24752361 41253935 49504722 57755509 82507870 115511018 123761805 173266527 247523610 288777545 346533054 577555090 866332635 1732665270 5387763911 10775527822 16163291733 26938819555 32326583466 37714347377 53877639110 75428694754 80816458665 113143042131 161632917330 188571736885 226286084262 377143473770 565715210655 1131430421310