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100323211032 = 2332113733110343
BaseRepresentation
bin101110101101110111…
…0101011011100011000
3100120221200211011102200
41131123232223130120
53120430220223112
6114030550330200
710151050136502
oct1353356533430
9316850734380
10100323211032
1139601923360
121753a059960
1395ca776385
144bd9d56d72
1529227d0cdc
hex175bbab718

100323211032 has 192 divisors, whose sum is σ = 305369775360. Its totient is φ = 29487110400.

The previous prime is 100323211031. The next prime is 100323211039. The reversal of 100323211032 is 230112323001.

100323211032 is a `hidden beast` number, since 100 + 323 + 211 + 0 + 32 = 666.

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 = 100323210996 and 100323211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100323211031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9694453 + ... + 9704795.

It is an arithmetic number, because the mean of its divisors is an integer number (1590467580).

Almost surely, 2100323211032 is an apocalyptic number.

100323211032 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 100323211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152684887680).

100323211032 is an abundant number, since it is smaller than the sum of its proper divisors (205046564328).

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

100323211032 is a wasteful number, since it uses less digits than its factorization.

100323211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10734 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100323211032 its reverse (230112323001), we get a palindrome (330435534033).

The spelling of 100323211032 in words is "one hundred billion, three hundred twenty-three million, two hundred eleven thousand, thirty-two".