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101001110100 = 2235211192955547
BaseRepresentation
bin101111000010000100…
…0101010001001010100
3100122200221102000010120
41132010020222021110
53123322241010400
6114222124151540
710203621161562
oct1360410521124
9318627360116
10101001110100
113991a547a20
12176a90985b0
1396a8047c97
144c61dbaa32
152962089ca0
hex178422a254

101001110100 has 288 divisors, whose sum is σ = 347152780800. Its totient is φ = 22396147200.

The previous prime is 101001110087. The next prime is 101001110131. The reversal of 101001110100 is 1011100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1790527 + ... + 1846073.

It is an arithmetic number, because the mean of its divisors is an integer number (1205391600).

Almost surely, 2101001110100 is an apocalyptic number.

101001110100 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 101001110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173576390400).

101001110100 is an abundant number, since it is smaller than the sum of its proper divisors (246151670700).

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

101001110100 is a wasteful number, since it uses less digits than its factorization.

101001110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55623 (or 55616 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101001110100 its reverse (1011100101), we get a palindrome (102012210201).

Subtracting from 101001110100 its reverse (1011100101), we obtain a palindrome (99990009999).

The spelling of 101001110100 in words is "one hundred one billion, one million, one hundred ten thousand, one hundred".