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100110010000 = 24547111373137
BaseRepresentation
bin101110100111100000…
…1011000011010010000
3100120101211122102121011
41131033001120122100
53120011130310000
6113553452540304
710142551021240
oct1351701303220
9316354572534
10100110010000
1139502544260
121749a781694
139595549510
144bb98d9b20
15290dc1a2ba
hex174f058690

100110010000 has 800 divisors, whose sum is σ = 332294231808. Its totient is φ = 28200960000.

The previous prime is 100110009983. The next prime is 100110010003. The reversal of 100110010000 is 10011001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (100110010003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 730729932 + ... + 730730068.

Almost surely, 2100110010000 is an apocalyptic number.

100110010000 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 100110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166147115904).

100110010000 is an abundant number, since it is smaller than the sum of its proper divisors (232184221808).

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

100110010000 is a wasteful number, since it uses less digits than its factorization.

100110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100110010000 its reverse (10011001), we get a palindrome (100120021001).

100110010000 divided by its reverse (10011001) gives a 4-th power (10000 = 104).

It can be divided in two parts, 1001 and 10010000, that multiplied together give a square (10020010000 = 1001002).

The spelling of 100110010000 in words is "one hundred billion, one hundred ten million, ten thousand".