Search a number
-
+
201332234021100 = 2235271337210352301
BaseRepresentation
bin101101110001110001010000…
…010010100110100011101100
3222101212011200112222102222220
4231301301100102212203230
5202342111403402133400
61552110430152035340
760256526305541130
oct5561612022464354
9871764615872886
10201332234021100
11591725804256a6
121a6b7651992b50
138845718532090
1437a07641cd3c0
1518421a7cca7a0
hexb71c504a68ec

201332234021100 has 864 divisors, whose sum is σ = 744018065796096. Its totient is φ = 40928758272000.

The previous prime is 201332234021081. The next prime is 201332234021119. The reversal of 201332234021100 is 1120432233102.

It is an interprime number because it is at equal distance from previous prime (201332234021081) and next prime (201332234021119).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3849464950 + ... + 3849517250.

Almost surely, 2201332234021100 is an apocalyptic number.

201332234021100 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 201332234021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372009032898048).

201332234021100 is an abundant number, since it is smaller than the sum of its proper divisors (542685831774996).

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

201332234021100 is a wasteful number, since it uses less digits than its factorization.

201332234021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52515 (or 52471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 201332234021100 its reverse (1120432233102), we get a palindrome (202452666254202).

It can be divided in two parts, 201332 and 234021100, that added together give a palindrome (234222432).

The spelling of 201332234021100 in words is "two hundred one trillion, three hundred thirty-two billion, two hundred thirty-four million, twenty-one thousand, one hundred".