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100531420 = 225114310627
BaseRepresentation
bin1011111110111…
…11110011011100
321000011112011221
411333133303130
5201214001140
613550423124
72330334343
oct577376334
9230145157
10100531420
1151824820
1229801aa4
1317a9b662
14d4ccb5a
158c5c14a
hex5fdfcdc

100531420 has 48 divisors (see below), whose sum is σ = 235686528. Its totient is φ = 35703360.

The previous prime is 100531397. The next prime is 100531427. The reversal of 100531420 is 24135001.

It is a junction number, because it is equal to n+sod(n) for n = 100531394 and 100531403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100531427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4147 + ... + 14773.

It is an arithmetic number, because the mean of its divisors is an integer number (4910136).

Almost surely, 2100531420 is an apocalyptic number.

100531420 is a gapful number since it is divisible by the number (10) 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 100531420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117843264).

100531420 is an abundant number, since it is smaller than the sum of its proper divisors (135155108).

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

100531420 is a wasteful number, since it uses less digits than its factorization.

100531420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 10688 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100531420 is about 10026.5357925856. The cubic root of 100531420 is about 464.9796422274.

Adding to 100531420 its reverse (24135001), we get a palindrome (124666421).

The spelling of 100531420 in words is "one hundred million, five hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 10627 21254 42508 53135 106270 116897 212540 233794 456961 467588 584485 913922 1168970 1827844 2284805 2337940 4569610 5026571 9139220 10053142 20106284 25132855 50265710 100531420