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1021131113121 = 32746335007409
BaseRepresentation
bin11101101110000000010…
…10000100001010100001
310121121201101100012020100
432313000022010022201
5113212234031104441
62101033503333013
7133526403151560
oct16670012041241
93547641305210
101021131113121
1136407198aa49
12145a9a8b1169
13753a50c8982
14375cca49bd7
151b866961cb6
hexedc02842a1

1021131113121 has 24 divisors (see below), whose sum is σ = 1689317576960. Its totient is φ = 582243209856.

The previous prime is 1021131113113. The next prime is 1021131113129. The reversal of 1021131113121 is 1213111311201.

1021131113121 is a `hidden beast` number, since 10 + 211 + 311 + 13 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (1021131113113) and next prime (1021131113129).

It is not a de Polignac number, because 1021131113121 - 23 = 1021131113113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1021131113094 and 1021131113103.

It is not an unprimeable number, because it can be changed into a prime (1021131113129) 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, 17474536 + ... + 17532873.

Almost surely, 21021131113121 is an apocalyptic number.

It is an amenable number.

1021131113121 is a deficient number, since it is larger than the sum of its proper divisors (668186463839).

1021131113121 is a wasteful number, since it uses less digits than its factorization.

1021131113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35007885 (or 35007882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1021131113121 its reverse (1213111311201), we get a palindrome (2234242424322).

The spelling of 1021131113121 in words is "one trillion, twenty-one billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 463 1389 3241 4167 9723 29169 35007409 105022227 245051863 315066681 735155589 2205466767 16208430367 48625291101 113459012569 145875873303 340377037707 1021131113121