Search a number
-
+
203442040100 = 225213347450991
BaseRepresentation
bin1011110101111000010…
…1110010110100100100
3201110010020002102212002
42331132011302310210
511313122130240400
6233243204544432
720461324544225
oct2753605626444
9643106072762
10203442040100
1179308800942
12335183b2118
13162524742b0
149bbd2b324c
15545a732ed5
hex2f5e172d24

203442040100 has 72 divisors (see below), whose sum is σ = 476799566208. Its totient is φ = 74900419200.

The previous prime is 203442040051. The next prime is 203442040141. The reversal of 203442040100 is 1040244302.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225605 + ... + 676595.

Almost surely, 2203442040100 is an apocalyptic number.

203442040100 is a gapful number since it is divisible by the number (20) 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 203442040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238399783104).

203442040100 is an abundant number, since it is smaller than the sum of its proper divisors (273357526108).

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

203442040100 is a wasteful number, since it uses less digits than its factorization.

203442040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451365 (or 451358 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 203442040100 its reverse (1040244302), we get a palindrome (204482284402).

The spelling of 203442040100 in words is "two hundred three billion, four hundred forty-two million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 347 650 694 1300 1388 1735 3470 4511 6940 8675 9022 17350 18044 22555 34700 45110 90220 112775 225550 450991 451100 901982 1803964 2254955 4509910 5862883 9019820 11274775 11725766 22549550 23451532 29314415 45099100 58628830 117257660 146572075 156493877 293144150 312987754 586288300 625975508 782469385 1564938770 2034420401 3129877540 3912346925 4068840802 7824693850 8137681604 10172102005 15649387700 20344204010 40688408020 50860510025 101721020050 203442040100