Search a number
-
+
100402253550 = 23252599372481
BaseRepresentation
bin101110110000001110…
…0001100111011101110
3100121011012112221101100
41131200130030323232
53121110434103200
6114042452423530
710153030034244
oct1354034147356
9317135487340
10100402253550
1139642500155
1217560617ba6
139610c5c9b1
144c06650794
1529296e5d00
hex176070ceee

100402253550 has 72 divisors (see below), whose sum is σ = 270198442800. Its totient is φ = 26729164800.

The previous prime is 100402253543. The next prime is 100402253551. The reversal of 100402253550 is 55352204001.

It is a happy number.

100402253550 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 22 + 53 + 550 = 666.

It is a super-2 number, since 2×1004022535502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100402253551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83310 + ... + 455790.

It is an arithmetic number, because the mean of its divisors is an integer number (3752756150).

Almost surely, 2100402253550 is an apocalyptic number.

100402253550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100402253550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135099221400).

100402253550 is an abundant number, since it is smaller than the sum of its proper divisors (169796189250).

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

100402253550 is a wasteful number, since it uses less digits than its factorization.

100402253550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373098 (or 373090 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 100402253550 its reverse (55352204001), we get a palindrome (155754457551).

The spelling of 100402253550 in words is "one hundred billion, four hundred two million, two hundred fifty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 599 1198 1797 2995 3594 5391 5990 8985 10782 14975 17970 26955 29950 44925 53910 89850 134775 269550 372481 744962 1117443 1862405 2234886 3352329 3724810 5587215 6704658 9312025 11174430 16761645 18624050 27936075 33523290 55872150 83808225 167616450 223116119 446232238 669348357 1115580595 1338696714 2008045071 2231161190 3346741785 4016090142 5577902975 6693483570 10040225355 11155805950 16733708925 20080450710 33467417850 50201126775 100402253550