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10034123220 = 22325115067739
BaseRepresentation
bin10010101100001010…
…01001000111010100
3221220021222021101100
421112011021013110
5131022213420340
64335402030100
7503440432362
oct112605110724
927807867340
1010034123220
11428a001320
121b404a8330
13c3baa7124
146b28c6632
153dad9d830
hex2561491d4

10034123220 has 72 divisors (see below), whose sum is σ = 33203832480. Its totient is φ = 2432514240.

The previous prime is 10034123159. The next prime is 10034123227. The reversal of 10034123220 is 2232143001.

10034123220 is a `hidden beast` number, since 1 + 0 + 0 + 341 + 2 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10034123193 and 10034123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034123227) 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, 2531890 + ... + 2535849.

It is an arithmetic number, because the mean of its divisors is an integer number (461164340).

Almost surely, 210034123220 is an apocalyptic number.

10034123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034123220 is an abundant number, since it is smaller than the sum of its proper divisors (23169709260).

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

10034123220 is a wasteful number, since it uses less digits than its factorization.

10034123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067765 (or 5067760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10034123220 its reverse (2232143001), we get a palindrome (12266266221).

The spelling of 10034123220 in words is "ten billion, thirty-four million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5067739 10135478 15203217 20270956 25338695 30406434 45609651 50677390 55745129 60812868 76016085 91219302 101354780 111490258 152032170 167235387 182438604 222980516 228048255 278725645 304064340 334470774 456096510 501706161 557451290 668941548 836176935 912193020 1003412322 1114902580 1672353870 2006824644 2508530805 3344707740 5017061610 10034123220