Search a number
-
+
100130023100 = 22521108790313
BaseRepresentation
bin101110101000000110…
…1101110011010111100
3100120110020022012102002
41131100031232122330
53120031241214400
6113555445521432
710143213103412
oct1352015563274
9316406265362
10100130023100
1139512873408
12174a5413278
1395997358a3
144bbc4292b2
15291086eed5
hex175036e6bc

100130023100 has 36 divisors (see below), whose sum is σ = 217304154144. Its totient is φ = 40047953280.

The previous prime is 100130023099. The next prime is 100130023109. The reversal of 100130023100 is 1320031001.

It is a super-2 number, since 2×1001300231002 (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 (100130023109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063544 + ... + 1153856.

It is an arithmetic number, because the mean of its divisors is an integer number (6036226504).

Almost surely, 2100130023100 is an apocalyptic number.

100130023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100130023100 is an abundant number, since it is smaller than the sum of its proper divisors (117174131044).

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

100130023100 is a wasteful number, since it uses less digits than its factorization.

100130023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101414 (or 101407 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100130023100 its reverse (1320031001), we get a palindrome (101450054101).

The spelling of 100130023100 in words is "one hundred billion, one hundred thirty million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11087 22174 44348 55435 90313 110870 180626 221740 277175 361252 451565 554350 903130 1108700 1806260 2257825 4515650 9031300 1001300231 2002600462 4005200924 5006501155 10013002310 20026004620 25032505775 50065011550 100130023100