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23322061134 = 23323103182309
BaseRepresentation
bin10101101110000110…
…100110100101001110
32020012100120110102000
4111232012212211032
5340230421424014
614414120413130
71453641151221
oct255606464516
966170513360
1023322061134
119988771799
12462a6171a6
132278a12598
1411b35a55b8
1591772a509
hex56e1a694e

23322061134 has 64 divisors (see below), whose sum is σ = 54605491200. Its totient is φ = 7363784736.

The previous prime is 23322061127. The next prime is 23322061141. The reversal of 23322061134 is 43116022332.

23322061134 is a `hidden beast` number, since 23 + 3 + 2 + 20 + 611 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23322061127) and next prime (23322061141).

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 = 23322061098 and 23322061107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36772 + ... + 219080.

It is an arithmetic number, because the mean of its divisors is an integer number (853210800).

Almost surely, 223322061134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23322061134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302745600).

23322061134 is an abundant number, since it is smaller than the sum of its proper divisors (31283430066).

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

23322061134 is a wasteful number, since it uses less digits than its factorization.

23322061134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182446 (or 182440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23322061134 its reverse (43116022332), we get a palindrome (66438083466).

The spelling of 23322061134 in words is "twenty-three billion, three hundred twenty-two million, sixty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 103 138 206 207 309 414 618 621 927 1242 1854 2369 2781 4738 5562 7107 14214 21321 42642 63963 127926 182309 364618 546927 1093854 1640781 3281562 4193107 4922343 8386214 9844686 12579321 18777827 25158642 37555654 37737963 56333481 75475926 112666962 113213889 169000443 226427778 338000886 431890021 507001329 863780042 1014002658 1295670063 2591340126 3887010189 7774020378 11661030567 23322061134