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10231331220 = 22325115167339
BaseRepresentation
bin10011000011101010…
…11011100110010100
3222102001001110220100
421201311123212110
5131423210044340
64411124534100
7511353610665
oct114165334624
928361043810
1010231331220
114380357640
121b96551330
13c708c4656
146d0b7d36c
153ed355830
hex261d5b994

10231331220 has 72 divisors (see below), whose sum is σ = 33856411680. Its totient is φ = 2480322240.

The previous prime is 10231331213. The next prime is 10231331249. The reversal of 10231331220 is 2213313201.

10231331220 is a `hidden beast` number, since 102 + 313 + 31 + 220 = 666.

10231331220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10231331193 and 10231331202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581690 + ... + 2585649.

It is an arithmetic number, because the mean of its divisors is an integer number (470227940).

Almost surely, 210231331220 is an apocalyptic number.

10231331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10231331220 is an abundant number, since it is smaller than the sum of its proper divisors (23625080460).

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

10231331220 is a wasteful number, since it uses less digits than its factorization.

10231331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167365 (or 5167360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10231331220 its reverse (2213313201), we get a palindrome (12444644421).

The spelling of 10231331220 in words is "ten billion, two hundred thirty-one million, three hundred thirty-one 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 5167339 10334678 15502017 20669356 25836695 31004034 46506051 51673390 56840729 62008068 77510085 93012102 103346780 113681458 155020170 170522187 186024204 227362916 232530255 284203645 310040340 341044374 465060510 511566561 568407290 682088748 852610935 930121020 1023133122 1136814580 1705221870 2046266244 2557832805 3410443740 5115665610 10231331220