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1101313122130 = 2513162121412441
BaseRepresentation
bin10000000001101011011…
…000001001111101010010
310220021200101221021122201
4100001223120021331102
5121020442124402010
62201534122153414
7142365365036644
oct20015330117522
93807611837581
101101313122130
113950786010a1
1215953765286a
137cb12b58c10
143b437a42894
151d9aadd423a
hex1006b609f52

1101313122130 has 64 divisors (see below), whose sum is σ = 2138043400416. Its totient is φ = 406031616000.

The previous prime is 1101313122103. The next prime is 1101313122131. The reversal of 1101313122130 is 312213131011.

It can be written as a sum of positive squares in 16 ways, for example, as 107641079569 + 993672042561 = 328087^2 + 996831^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1101313122098 and 1101313122107.

It is not an unprimeable number, because it can be changed into a prime (1101313122131) 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 31 ways as a sum of consecutive naturals, for example, 451171710 + ... + 451174150.

Almost surely, 21101313122130 is an apocalyptic number.

1101313122130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101313122130 is a deficient number, since it is larger than the sum of its proper divisors (1036730278286).

1101313122130 is a wasteful number, since it uses less digits than its factorization.

1101313122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1101313122130 its reverse (312213131011), we get a palindrome (1413526253141).

The spelling of 1101313122130 in words is "one trillion, one hundred one billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 1621 2141 2441 3242 4282 4882 8105 10705 12205 16210 21073 21410 24410 27833 31733 42146 55666 63466 105365 139165 158665 210730 278330 317330 3470561 3956861 5226181 6941122 7913722 10452362 17352805 19784305 26130905 34705610 39568610 45117293 51439193 52261810 67940353 90234586 102878386 135880706 225586465 257195965 339701765 451172930 514391930 679403530 8471639401 16943278802 42358197005 84716394010 110131312213 220262624426 550656561065 1101313122130