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100023221232 = 243211217437853
BaseRepresentation
bin101110100100111011…
…0010011101111110000
3100120011210100002210100
41131021312103233300
53114321421034412
6113541112432400
710140445231614
oct1351166235760
9316153302710
10100023221232
1139468556600
12174756a8700
13958058010c
144bac187344
1529062c4edc
hex1749d93bf0

100023221232 has 360 divisors, whose sum is σ = 333405504432. Its totient is φ = 27860152320.

The previous prime is 100023221227. The next prime is 100023221237. The reversal of 100023221232 is 232122320001.

It is an interprime number because it is at equal distance from previous prime (100023221227) and next prime (100023221237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023221237) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12733018 + ... + 12740870.

Almost surely, 2100023221232 is an apocalyptic number.

100023221232 is a gapful number since it is divisible by the number (12) 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 100023221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166702752216).

100023221232 is an abundant number, since it is smaller than the sum of its proper divisors (233382283200).

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

100023221232 is a wasteful number, since it uses less digits than its factorization.

100023221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100023221232 its reverse (232122320001), we get a palindrome (332145541233).

It can be divided in two parts, 1000 and 23221232, that added together give a palindrome (23222232).

The spelling of 100023221232 in words is "one hundred billion, twenty-three million, two hundred twenty-one thousand, two hundred thirty-two".