Search a number
-
+
100204612420 = 22511455475511
BaseRepresentation
bin101110101010010101…
…0010000101101000100
3100120122102122201201111
41131110222100231010
53120204340044140
6114011112334404
710145110103113
oct1352452205504
9316572581644
10100204612420
1139550989480
12175063a4404
1395ac020293
144bc82c3c7a
1529171a57ea
hex1754a90b44

100204612420 has 24 divisors (see below), whose sum is σ = 229559658048. Its totient is φ = 36438040800.

The previous prime is 100204612367. The next prime is 100204612429. The reversal of 100204612420 is 24216402001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100204612391 and 100204612400.

It is not an unprimeable number, because it can be changed into a prime (100204612429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227737536 + ... + 227737975.

It is an arithmetic number, because the mean of its divisors is an integer number (9564985752).

Almost surely, 2100204612420 is an apocalyptic number.

100204612420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100204612420 is an abundant number, since it is smaller than the sum of its proper divisors (129355045628).

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

100204612420 is a wasteful number, since it uses less digits than its factorization.

100204612420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455475531 (or 455475529 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 100204612420 in words is "one hundred billion, two hundred four million, six hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 455475511 910951022 1821902044 2277377555 4554755110 5010230621 9109510220 10020461242 20040922484 25051153105 50102306210 100204612420