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823137381 = 321125913209
BaseRepresentation
bin110001000100000…
…001010001100101
32010100212201012200
4301010001101211
53141210344011
6213402405113
726253360303
oct6104012145
92110781180
10823137381
11392704330
121ab800799
131016c4351
147b46d273
154c3e7856
hex31101465

823137381 has 24 divisors (see below), whose sum is σ = 1297969920. Its totient is φ = 498523200.

The previous prime is 823137373. The next prime is 823137383. The reversal of 823137381 is 183731328.

It is not a de Polignac number, because 823137381 - 23 = 823137373 is a prime.

It is a super-2 number, since 2×8231373812 = 1355110295999078322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823137383) 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, 254905 + ... + 258113.

It is an arithmetic number, because the mean of its divisors is an integer number (54082080).

Almost surely, 2823137381 is an apocalyptic number.

It is an amenable number.

823137381 is a deficient number, since it is larger than the sum of its proper divisors (474832539).

823137381 is a wasteful number, since it uses less digits than its factorization.

823137381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5814 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 823137381 is about 28690.3708759577. The cubic root of 823137381 is about 937.1823657812.

The spelling of 823137381 in words is "eight hundred twenty-three million, one hundred thirty-seven thousand, three hundred eighty-one".

Divisors: 1 3 9 11 33 99 2591 3209 7773 9627 23319 28501 28881 35299 85503 105897 256509 317691 8314519 24943557 74830671 91459709 274379127 823137381