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531230100 = 223525930013
BaseRepresentation
bin11111101010011…
…110110110010100
31101000121021200220
4133222132312110
52041443330400
6124414034340
716110244542
oct3752366624
91330537626
10531230100
11252958045
12129aa89b0
138609ac4b
14507a4d92
15319867a0
hex1fa9ed94

531230100 has 72 divisors (see below), whose sum is σ = 1563129120. Its totient is φ = 139255680.

The previous prime is 531230099. The next prime is 531230107. The reversal of 531230100 is 1032135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 531230100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531230107) 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, 2694 + ... + 32706.

Almost surely, 2531230100 is an apocalyptic number.

531230100 is a gapful number since it is divisible by the number (50) 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 531230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781564560).

531230100 is an abundant number, since it is smaller than the sum of its proper divisors (1031899020).

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

531230100 is a wasteful number, since it uses less digits than its factorization.

531230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30089 (or 30082 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 531230100 is about 23048.4294475784. The cubic root of 531230100 is about 809.8928375225.

Adding to 531230100 its reverse (1032135), we get a palindrome (532262235).

The spelling of 531230100 in words is "five hundred thirty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 17700 30013 60026 90039 120052 150065 180078 300130 360156 450195 600260 750325 900390 1500650 1770767 1800780 2250975 3001300 3541534 4501950 5312301 7083068 8853835 9003900 10624602 17707670 21249204 26561505 35415340 44269175 53123010 88538350 106246020 132807525 177076700 265615050 531230100