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100123022232 = 233229317331457
BaseRepresentation
bin101110100111111001…
…1000001001110011000
3100120102202010112000200
41131033303001032120
53120022443202412
6113555035502200
710143066434622
oct1351763011630
9316382115020
10100123022232
1139509921572
12174a2bb7960
13959815416c
144bbb525c12
15290ee3a9dc
hex174fcc1398

100123022232 has 192 divisors, whose sum is σ = 282869776800. Its totient is φ = 31954728960.

The previous prime is 100123022221. The next prime is 100123022239. The reversal of 100123022232 is 232220321001.

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 (100123022239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219087348 + ... + 219087804.

Almost surely, 2100123022232 is an apocalyptic number.

100123022232 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 100123022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141434888400).

100123022232 is an abundant number, since it is smaller than the sum of its proper divisors (182746754568).

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

100123022232 is a wasteful number, since it uses less digits than its factorization.

100123022232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

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

Adding to 100123022232 its reverse (232220321001), we get a palindrome (332343343233).

The spelling of 100123022232 in words is "one hundred billion, one hundred twenty-three million, twenty-two thousand, two hundred thirty-two".