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2103100768944 = 24347243770177
BaseRepresentation
bin11110100110101010100…
…100110000001010110000
321110001110201010120120000
4132212222210300022300
5233424122244101234
64250052352150000
7304641540403200
oct36465244601260
97401421116500
102103100768944
11740a1361354a
1229b718238300
131234245aab26
1473b0d668400
1539a8e563899
hex1e9aa9302b0

2103100768944 has 300 divisors, whose sum is σ = 7245455696424. Its totient is φ = 586911080448.

The previous prime is 2103100768919. The next prime is 2103100768949. The reversal of 2103100768944 is 4498670013012.

2103100768944 is a `hidden beast` number, since 210 + 310 + 0 + 7 + 6 + 89 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2103100768944.

It is not an unprimeable number, because it can be changed into a prime (2103100768949) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2345584 + ... + 3115760.

Almost surely, 22103100768944 is an apocalyptic number.

2103100768944 is a gapful number since it is divisible by the number (24) 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 2103100768944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622727848212).

2103100768944 is an abundant number, since it is smaller than the sum of its proper divisors (5142354927480).

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

2103100768944 is a wasteful number, since it uses less digits than its factorization.

2103100768944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770254 (or 770232 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2103100768944 in words is "two trillion, one hundred three billion, one hundred million, seven hundred sixty-eight thousand, nine hundred forty-four".