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106340020461 = 3211815557829
BaseRepresentation
bin110001100001001011…
…0111111000011101101
3101011111000111202022100
41203002112333003231
53220241021123321
6120504003405313
710453130155113
oct1430226770355
9334430452270
10106340020461
114110a195334
1218739083839
13a04917923c
14520b09dab3
152b75b39326
hex18c25bf0ed

106340020461 has 6 divisors (see below), whose sum is σ = 153602251790. Its totient is φ = 70893346968.

The previous prime is 106340020399. The next prime is 106340020463. The reversal of 106340020461 is 164020043601.

106340020461 is a `hidden beast` number, since 1 + 0 + 634 + 0 + 0 + 20 + 4 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85508871561 + 20831148900 = 292419^2 + 144330^2 .

It is not a de Polignac number, because 106340020461 - 214 = 106340004077 is a prime.

It is a super-2 number, since 2×1063400204612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106340020463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5907778906 + ... + 5907778923.

Almost surely, 2106340020461 is an apocalyptic number.

It is an amenable number.

106340020461 is a deficient number, since it is larger than the sum of its proper divisors (47262231329).

106340020461 is a wasteful number, since it uses less digits than its factorization.

106340020461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11815557835 (or 11815557832 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 106340020461 in words is "one hundred six billion, three hundred forty million, twenty thousand, four hundred sixty-one".

Divisors: 1 3 9 11815557829 35446673487 106340020461