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100211223000 = 233537397387
BaseRepresentation
bin101110101010100001…
…1011110100111011000
3100120122220002120201210
41131111003132213120
53120213033114000
6114011510143120
710145220225000
oct1352503364730
9316586076653
10100211223000
1139554694069
1217508651aa0
1395b04c6175
144bc9125000
152917a5e350
hex17550de9d8

100211223000 has 256 divisors, whose sum is σ = 364620672000. Its totient is φ = 22905187200.

The previous prime is 100211222959. The next prime is 100211223017. The reversal of 100211223000 is 322112001.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980307 + ... + 1077693.

It is an arithmetic number, because the mean of its divisors is an integer number (1424299500).

Almost surely, 2100211223000 is an apocalyptic number.

100211223000 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 100211223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182310336000).

100211223000 is an abundant number, since it is smaller than the sum of its proper divisors (264409449000).

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

100211223000 is an equidigital number, since it uses as much as digits as its factorization.

100211223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97432 (or 97404 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100211223000 its reverse (322112001), we get a palindrome (100533335001).

The spelling of 100211223000 in words is "one hundred billion, two hundred eleven million, two hundred twenty-three thousand".