Search a number
-
+
1120134442131 = 32317950820491
BaseRepresentation
bin10000010011001101001…
…101110010110010010011
310222002021002120101220200
4100103031031302302103
5121323013404122011
62214325504310243
7143632655443005
oct20231515626223
93862232511820
101120134442131
113a2056766411
1216110a912383
1381822295563
143c301588375
151e20d426856
hex104cd372c93

1120134442131 has 24 divisors (see below), whose sum is σ = 1691305973760. Its totient is φ = 713519679600.

The previous prime is 1120134442111. The next prime is 1120134442157. The reversal of 1120134442131 is 1312444310211.

It is a happy number.

1120134442131 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 3 + 444 + 213 + 1 = 666.

It is not a de Polignac number, because 1120134442131 - 29 = 1120134441619 is a prime.

It is a super-2 number, since 2×11201344421312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1120134442095 and 1120134442104.

It is not an unprimeable number, because it can be changed into a prime (1120134442111) 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 23 ways as a sum of consecutive naturals, for example, 25388205 + ... + 25432286.

It is an arithmetic number, because the mean of its divisors is an integer number (70471082240).

Almost surely, 21120134442131 is an apocalyptic number.

1120134442131 is a deficient number, since it is larger than the sum of its proper divisors (571171531629).

1120134442131 is a wasteful number, since it uses less digits than its factorization.

1120134442131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50820607 (or 50820604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1120134442131 its reverse (1312444310211), we get a palindrome (2432578752342).

The spelling of 1120134442131 in words is "one trillion, one hundred twenty billion, one hundred thirty-four million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 31 79 93 237 279 711 2449 7347 22041 50820491 152461473 457384419 1575435221 4014818789 4726305663 12044456367 14178916989 36133369101 124459382459 373378147377 1120134442131