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100023231000 = 233537114159179
BaseRepresentation
bin101110100100111011…
…0010110001000011000
3100120011210100121012010
41131021312112020120
53114321421343000
6113541112545520
710140445302240
oct1351166261030
9316153317163
10100023231000
1139468562980
12174756b22a0
1395805846b4
144bac18ab20
1529062c7d50
hex1749d96218

100023231000 has 1024 divisors, whose sum is σ = 407586816000. Its totient is φ = 19822080000.

The previous prime is 100023230981. The next prime is 100023231067. The reversal of 100023231000 is 132320001.

It is a happy number.

It is a super-2 number, since 2×1000232310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 558788911 + ... + 558789089.

It is an arithmetic number, because the mean of its divisors is an integer number (398034000).

Almost surely, 2100023231000 is an apocalyptic number.

100023231000 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 100023231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408000).

100023231000 is an abundant number, since it is smaller than the sum of its proper divisors (307563585000).

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

100023231000 is a wasteful number, since it uses less digits than its factorization.

100023231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100023231000 its reverse (132320001), we get a palindrome (100155551001).

The spelling of 100023231000 in words is "one hundred billion, twenty-three million, two hundred thirty-one thousand".