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34164212130 = 2335126534119
BaseRepresentation
bin11111110100010110…
…001000000110100010
310021011221222210112000
4133310112020012202
51024432014242010
623410025344430
72316423003666
oct376426100642
9107157883460
1034164212130
1113541897264
126755638116
1332b6020549
1419215068a6
15d4e4d97c0
hex7f45881a2

34164212130 has 32 divisors (see below), whose sum is σ = 91104566400. Its totient is φ = 9110456496.

The previous prime is 34164212087. The next prime is 34164212141. The reversal of 34164212130 is 3121246143.

It is a happy number.

34164212130 is a `hidden beast` number, since 3 + 4 + 1 + 642 + 1 + 2 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34164212094 and 34164212103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63266790 + ... + 63267329.

It is an arithmetic number, because the mean of its divisors is an integer number (2847017700).

Almost surely, 234164212130 is an apocalyptic number.

34164212130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34164212130 is an abundant number, since it is smaller than the sum of its proper divisors (56940354270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34164212130 is a wasteful number, since it uses less digits than its factorization.

34164212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126534135 (or 126534129 counting only the distinct ones).

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

Adding to 34164212130 its reverse (3121246143), we get a palindrome (37285458273).

The spelling of 34164212130 in words is "thirty-four billion, one hundred sixty-four million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 126534119 253068238 379602357 632670595 759204714 1138807071 1265341190 1898011785 2277614142 3416421213 3796023570 5694035355 6832842426 11388070710 17082106065 34164212130