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100021233000 = 23353139832609
BaseRepresentation
bin101110100100110111…
…0101110010101101000
3100120011122121002110010
41131021232232111220
53114320413424000
6113541002051520
710140422311203
oct1351156562550
9316148532403
10100021233000
1139467418837
1217474aa9ba0
139580035150
144babbca93a
152906030d50
hex1749bae568

100021233000 has 256 divisors, whose sum is σ = 336542169600. Its totient is φ = 24586137600.

The previous prime is 100021232953. The next prime is 100021233001. The reversal of 100021233000 is 332120001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100021233001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38335696 + ... + 38338304.

It is an arithmetic number, because the mean of its divisors is an integer number (1314617850).

Almost surely, 2100021233000 is an apocalyptic number.

100021233000 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 100021233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168271084800).

100021233000 is an abundant number, since it is smaller than the sum of its proper divisors (236520936600).

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

100021233000 is a wasteful number, since it uses less digits than its factorization.

100021233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3615 counting only the distinct ones).

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

Adding to 100021233000 its reverse (332120001), we get a palindrome (100353353001).

The spelling of 100021233000 in words is "one hundred billion, twenty-one million, two hundred thirty-three thousand".