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100232023320 = 2333511131036301
BaseRepresentation
bin101110101011001001…
…0110100110100011000
3100120201100020100102000
41131112102310310120
53120233344221240
6114013532041000
710145562066222
oct1352622646430
9316640210360
10100232023320
1139565400710
1217513603160
1395b48c9950
144bcbbbb412
1529197bc430
hex17564b4d18

100232023320 has 512 divisors, whose sum is σ = 396390758400. Its totient is φ = 22208256000.

The previous prime is 100232023313. The next prime is 100232023321. The reversal of 100232023320 is 23320232001.

It is a happy number.

100232023320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 320 + 23 + 320 = 666.

It is a super-5 number, since 5×1002320233205 (a number of 56 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100232023293 and 100232023302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232023321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15904170 + ... + 15910470.

It is an arithmetic number, because the mean of its divisors is an integer number (774200700).

Almost surely, 2100232023320 is an apocalyptic number.

100232023320 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 100232023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198195379200).

100232023320 is an abundant number, since it is smaller than the sum of its proper divisors (296158735080).

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

100232023320 is a wasteful number, since it uses less digits than its factorization.

100232023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100232023320 its reverse (23320232001), we get a palindrome (123552255321).

The spelling of 100232023320 in words is "one hundred billion, two hundred thirty-two million, twenty-three thousand, three hundred twenty".