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101100101000 = 2353431234571
BaseRepresentation
bin101111000101000001…
…0010001110110001000
3100122221211200021010012
41132022002101312020
53124023111213000
6114240022011052
710206232452023
oct1361202216610
9318854607105
10101100101000
113997040a288
1217716276a88
1396c26c7392
144c711c81ba
15296aae0735
hex178a091d88

101100101000 has 64 divisors (see below), whose sum is σ = 237124143360. Its totient is φ = 40346040000.

The previous prime is 101100100987. The next prime is 101100101021. The reversal of 101100101000 is 101001101.

101100101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313715 + ... + 548285.

It is an arithmetic number, because the mean of its divisors is an integer number (3705064740).

Almost surely, 2101100101000 is an apocalyptic number.

101100101000 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 101100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118562071680).

101100101000 is an abundant number, since it is smaller than the sum of its proper divisors (136024042360).

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

101100101000 is a wasteful number, since it uses less digits than its factorization.

101100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235023 (or 235009 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101100101000 its reverse (101001101), we get a palindrome (101201102101).

The spelling of 101100101000 in words is "one hundred one billion, one hundred million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 431 500 862 1000 1724 2155 3448 4310 8620 10775 17240 21550 43100 53875 86200 107750 215500 234571 431000 469142 938284 1172855 1876568 2345710 4691420 5864275 9382840 11728550 23457100 29321375 46914200 58642750 101100101 117285500 202200202 234571000 404400404 505500505 808800808 1011001010 2022002020 2527502525 4044004040 5055005050 10110010100 12637512625 20220020200 25275025250 50550050500 101100101000