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1303100132121 = 322909426111681
BaseRepresentation
bin10010111101100110110…
…100100000101100011001
311121120112021210111000100
4102331212310200230121
5132322222113211441
62434345210130013
7163101015236424
oct22754664405431
94546467714010
101303100132121
11462707064357
12190671720909
1395b6046a648
14470db1b89bb
1523d6b197cb6
hex12f66d20b19

1303100132121 has 24 divisors (see below), whose sum is σ = 1883505915720. Its totient is φ = 868156646400.

The previous prime is 1303100132119. The next prime is 1303100132149. The reversal of 1303100132121 is 1212310013031.

1303100132121 is a `hidden beast` number, since 1 + 30 + 310 + 0 + 1 + 321 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 803597502096 + 499502630025 = 896436^2 + 706755^2 .

It is not a de Polignac number, because 1303100132121 - 21 = 1303100132119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1303100132094 and 1303100132103.

It is not an unprimeable number, because it can be changed into a prime (1303100132821) 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, 111551401 + ... + 111563081.

It is an arithmetic number, because the mean of its divisors is an integer number (78479413155).

Almost surely, 21303100132121 is an apocalyptic number.

It is an amenable number.

1303100132121 is a deficient number, since it is larger than the sum of its proper divisors (580405783599).

1303100132121 is a wasteful number, since it uses less digits than its factorization.

1303100132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18857 (or 18854 counting only the distinct ones).

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

Adding to 1303100132121 its reverse (1212310013031), we get a palindrome (2515410145152).

The spelling of 1303100132121 in words is "one trillion, three hundred three billion, one hundred million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 2909 4261 8727 11681 12783 26181 35043 38349 105129 12395249 33980029 37185747 49772741 101940087 111557241 149318223 305820261 447954669 144788903569 434366710707 1303100132121