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23132404244100 = 22352400631924669
BaseRepresentation
bin1010100001001111011101…
…01111001101111010000100
310000220102210000200021121110
411100213232233031322010
511013000130441302400
6121110514012045020
74605155353544244
oct520475657157204
9100812700607543
1023132404244100
117409441154038
12271726b463770
13cba4b7b2bab8
1459d885a65b24
152a1ad8551e50
hex1509eebcde84

23132404244100 has 72 divisors (see below), whose sum is σ = 66931461667840. Its totient is φ = 6168483953280.

The previous prime is 23132404244039. The next prime is 23132404244113. The reversal of 23132404244100 is 144240423132.

It is a super-2 number, since 2×231324042441002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11056566 + ... + 12981234.

Almost surely, 223132404244100 is an apocalyptic number.

23132404244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132404244100 is an abundant number, since it is smaller than the sum of its proper divisors (43799057423740).

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

23132404244100 is a wasteful number, since it uses less digits than its factorization.

23132404244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964749 (or 1964742 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 23132404244100 its reverse (144240423132), we get a palindrome (23276644667232).

The spelling of 23132404244100 in words is "twenty-three trillion, one hundred thirty-two billion, four hundred four million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40063 80126 120189 160252 200315 240378 400630 480756 600945 801260 1001575 1201890 1924669 2003150 2403780 3004725 3849338 4006300 5774007 6009450 7698676 9623345 11548014 12018900 19246690 23096028 28870035 38493380 48116725 57740070 96233450 115480140 144350175 192466900 288700350 577400700 77108014147 154216028294 231324042441 308432056588 385540070735 462648084882 771080141470 925296169764 1156620212205 1542160282940 1927700353675 2313240424410 3855400707350 4626480848820 5783101061025 7710801414700 11566202122050 23132404244100