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100120032220 = 2251317197915091
BaseRepresentation
bin101110100111110011…
…1100111001111011100
3100120102112111121111111
41131033213213033130
53120021212012340
6113554451431404
710143032142445
oct1351747471734
9316375447444
10100120032220
113950816a08a
12174a1bb5564
139597648220
144bbad882cc
15290ea49aea
hex174f9e73dc

100120032220 has 192 divisors, whose sum is σ = 255573964800. Its totient is φ = 32542248960.

The previous prime is 100120032211. The next prime is 100120032227. The reversal of 100120032220 is 22230021001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100120032220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120032227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6626875 + ... + 6641965.

It is an arithmetic number, because the mean of its divisors is an integer number (1331114400).

Almost surely, 2100120032220 is an apocalyptic number.

100120032220 is a gapful number since it is divisible by the number (10) 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 100120032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127786982400).

100120032220 is an abundant number, since it is smaller than the sum of its proper divisors (155453932580).

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

100120032220 is a wasteful number, since it uses less digits than its factorization.

100120032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15228 (or 15226 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100120032220 its reverse (22230021001), we get a palindrome (122350053221).

The spelling of 100120032220 in words is "one hundred billion, one hundred twenty million, thirty-two thousand, two hundred twenty".