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1001100110010 = 2357211132379901
BaseRepresentation
bin11101001000101100011…
…01110110100010111010
310112201000101110210201020
432210112031312202322
5112400223112010020
62043522105403310
7132220123350600
oct16442615664272
93481011423636
101001100110010
11356622a05920
1214202a499536
1373532187600
143664c5b3870
151b09311ec40
hexe9163768ba

1001100110010 has 576 divisors, whose sum is σ = 3391143801984. Its totient is φ = 186810624000.

The previous prime is 1001100109991. The next prime is 1001100110069. The reversal of 1001100110010 is 100110011001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101106060 + ... + 101115960.

It is an arithmetic number, because the mean of its divisors is an integer number (5887402434).

Almost surely, 21001100110010 is an apocalyptic number.

1001100110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001100110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695571900992).

1001100110010 is an abundant number, since it is smaller than the sum of its proper divisors (2390043691974).

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

1001100110010 is a wasteful number, since it uses less digits than its factorization.

1001100110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999 (or 9979 counting only the distinct ones).

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

Adding to 1001100110010 its reverse (100110011001), we get a palindrome (1101210121011).

Subtracting from 1001100110010 its reverse (100110011001), we obtain a palindrome (900990099009).

The spelling of 1001100110010 in words is "one trillion, one billion, one hundred million, one hundred ten thousand, ten".