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1030130131122 = 232173366438337
BaseRepresentation
bin11101111110110001000…
…10100110000010110010
310122110221112120200012100
432333120202212002302
5113334201303143442
62105122451441230
7134265404432631
oct16773042460262
93573845520170
101030130131122
1136796a670404
121477905b6216
13761aa5c3cb1
1437c03c87518
151bbe19e784c
hexefd88a60b2

1030130131122 has 24 divisors (see below), whose sum is σ = 2363239713276. Its totient is φ = 323178080256.

The previous prime is 1030130131057. The next prime is 1030130131141. The reversal of 1030130131122 is 2211310310301.

1030130131122 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 301 + 311 + 22 = 666.

1030130131122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 930740633001 + 99389498121 = 964749^2 + 315261^2 .

It is a super-2 number, since 2×10301301311222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030130131095 and 1030130131104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1683218863 + ... + 1683219474.

Almost surely, 21030130131122 is an apocalyptic number.

1030130131122 is an abundant number, since it is smaller than the sum of its proper divisors (1333109582154).

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

1030130131122 is a wasteful number, since it uses less digits than its factorization.

1030130131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366438362 (or 3366438359 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1030130131122 its reverse (2211310310301), we get a palindrome (3241440441423).

The spelling of 1030130131122 in words is "one trillion, thirty billion, one hundred thirty million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 3366438337 6732876674 10099315011 20198630022 30297945033 57229451729 60595890066 114458903458 171688355187 343376710374 515065065561 1030130131122