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1130131020321 = 321735172100221
BaseRepresentation
bin10000011100100001000…
…011101101101000100001
311000001001202220012012100
4100130201003231220201
5122004002020122241
62223101445521013
7144435462113562
oct20344103555041
94001052805170
101130131020321
113a6316553586
1216303a713169
1382756355394
143c9ad09a169
151e5e5d5a9b6
hex107210eda21

1130131020321 has 24 divisors (see below), whose sum is σ = 1728927953064. Its totient is φ = 708899857920.

The previous prime is 1130131020203. The next prime is 1130131020397. The reversal of 1130131020321 is 1230201310311.

1130131020321 is a `hidden beast` number, since 1 + 1 + 30 + 1 + 310 + 2 + 0 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 651190897296 + 478940123025 = 806964^2 + 692055^2 .

It is not a de Polignac number, because 1130131020321 - 211 = 1130131018273 is a prime.

It is a super-2 number, since 2×11301310203212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130131020294 and 1130131020303.

It is not an unprimeable number, because it can be changed into a prime (1130131010321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512010 + ... + 1588211.

It is an arithmetic number, because the mean of its divisors is an integer number (72038664711).

Almost surely, 21130131020321 is an apocalyptic number.

It is an amenable number.

1130131020321 is a deficient number, since it is larger than the sum of its proper divisors (598796932743).

1130131020321 is a wasteful number, since it uses less digits than its factorization.

1130131020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103761 (or 2103758 counting only the distinct ones).

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

Adding to 1130131020321 its reverse (1230201310311), we get a palindrome (2360332330632).

The spelling of 1130131020321 in words is "one trillion, one hundred thirty billion, one hundred thirty-one million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 3517 10551 31653 59789 179367 538101 2100221 6300663 18901989 35703757 107111271 321333813 7386477257 22159431771 66478295313 125570113369 376710340107 1130131020321