Search a number
-
+
203440402100 = 225213983159199
BaseRepresentation
bin1011110101110111111…
…1100010111010110100
3201110010010000012221102
42331131333202322310
511313121220331400
6233243105505232
720461304612555
oct2753577427264
9643103005842
10203440402100
1179307892221
1233517942218
131625201c870
149bbcda832c
15545a50c9d5
hex2f5dfe2eb4

203440402100 has 72 divisors (see below), whose sum is σ = 475911206400. Its totient is φ = 75039569280.

The previous prime is 203440402097. The next prime is 203440402103. The reversal of 203440402100 is 1204044302.

It is an interprime number because it is at equal distance from previous prime (203440402097) and next prime (203440402103).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203440402103) 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, 1198301 + ... + 1357499.

Almost surely, 2203440402100 is an apocalyptic number.

203440402100 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 203440402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237955603200).

203440402100 is an abundant number, since it is smaller than the sum of its proper divisors (272470804300).

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

203440402100 is a wasteful number, since it uses less digits than its factorization.

203440402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160209 (or 160202 counting only the distinct ones).

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

Adding to 203440402100 its reverse (1204044302), we get a palindrome (204644446402).

The spelling of 203440402100 in words is "two hundred three billion, four hundred forty million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 983 1300 1966 3932 4915 9830 12779 19660 24575 25558 49150 51116 63895 98300 127790 159199 255580 318398 319475 636796 638950 795995 1277900 1591990 2069587 3183980 3979975 4139174 7959950 8278348 10347935 15919900 20695870 41391740 51739675 103479350 156492617 206958700 312985234 625970468 782463085 1564926170 2034404021 3129852340 3912315425 4068808042 7824630850 8137616084 10172020105 15649261700 20344040210 40688080420 50860100525 101720201050 203440402100