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631324100 = 2252111394129
BaseRepresentation
bin100101101000010…
…011110111000100
31121222221120212002
4211220103313010
52243104332400
6142351244432
721434111021
oct4550236704
91558846762
10631324100
112a4403160
12157519718
13a0a45474
145dbbc548
153a658ed5
hex25a13dc4

631324100 has 72 divisors (see below), whose sum is σ = 1505632800. Its totient is φ = 227865600.

The previous prime is 631324097. The next prime is 631324103. The reversal of 631324100 is 1423136.

It is an interprime number because it is at equal distance from previous prime (631324097) and next prime (631324103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (631324103) 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, 150836 + ... + 154964.

Almost surely, 2631324100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752816400).

631324100 is an abundant number, since it is smaller than the sum of its proper divisors (874308700).

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

631324100 is a wasteful number, since it uses less digits than its factorization.

631324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 631324100 is about 25126.1636546449. The cubic root of 631324100 is about 857.8620502221.

Adding to 631324100 its reverse (1423136), we get a palindrome (632747236).

The spelling of 631324100 in words is "six hundred thirty-one million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 4129 6116 6950 7645 8258 13900 15290 16516 20645 30580 38225 41290 45419 76450 82580 90838 103225 152900 181676 206450 227095 412900 454190 573931 908380 1135475 1147862 2270950 2295724 2869655 4541900 5739310 6313241 11478620 12626482 14348275 25252964 28696550 31566205 57393100 63132410 126264820 157831025 315662050 631324100