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20240131032 = 23321133775833
BaseRepresentation
bin10010110110011001…
…111110001111011000
31221020120101012002200
4102312121332033120
5312422433143112
613144224130200
71314366163242
oct226631761730
957216335080
1020240131032
118647032020
123b0a466960
131ba73732c4
14da0153092
157d6da0cdc
hex4b667e3d8

20240131032 has 96 divisors (see below), whose sum is σ = 59978627280. Its totient is φ = 6115092480.

The previous prime is 20240131001. The next prime is 20240131033. The reversal of 20240131032 is 23013104202.

20240131032 is a `hidden beast` number, since 202 + 401 + 31 + 0 + 32 = 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 = 20240130996 and 20240131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240131033) 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, 228988 + ... + 304820.

Almost surely, 220240131032 is an apocalyptic number.

20240131032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29989313640).

20240131032 is an abundant number, since it is smaller than the sum of its proper divisors (39738496248).

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

20240131032 is a wasteful number, since it uses less digits than its factorization.

20240131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76193 (or 76186 counting only the distinct ones).

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

Adding to 20240131032 its reverse (23013104202), we get a palindrome (43253235234).

The spelling of 20240131032 in words is "twenty billion, two hundred forty million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 337 396 674 792 1011 1348 2022 2696 3033 3707 4044 6066 7414 8088 11121 12132 14828 22242 24264 29656 33363 44484 66726 75833 88968 133452 151666 227499 266904 303332 454998 606664 682497 834163 909996 1364994 1668326 1819992 2502489 2729988 3336652 5004978 5459976 6673304 7507467 10009956 15014934 20019912 25555721 30029868 51111442 60059736 76667163 102222884 153334326 204445768 230001489 281112931 306668652 460002978 562225862 613337304 843338793 920005956 1124451724 1686677586 1840011912 2248903448 2530016379 3373355172 5060032758 6746710344 10120065516 20240131032