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10100035344 = 243730059629
BaseRepresentation
bin10010110100000001…
…00100111100010000
3222001212222221211010
421122000210330100
5131141102112334
64350114450520
7505200612120
oct113200447420
928055887733
1010100035344
114313230053
121b5a593a40
13c4c644099
146bb562c80
153e1a6d0e9
hex25a024f10

10100035344 has 40 divisors (see below), whose sum is σ = 29819152960. Its totient is φ = 2885724288.

The previous prime is 10100035229. The next prime is 10100035369. The reversal of 10100035344 is 44353000101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10100035344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15029479 + ... + 15030150.

It is an arithmetic number, because the mean of its divisors is an integer number (745478824).

Almost surely, 210100035344 is an apocalyptic number.

10100035344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10100035344 is an abundant number, since it is smaller than the sum of its proper divisors (19719117616).

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

10100035344 is a wasteful number, since it uses less digits than its factorization.

10100035344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30059647 (or 30059641 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10100035344 its reverse (44353000101), we get a palindrome (54453035445).

The spelling of 10100035344 in words is "ten billion, one hundred million, thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 30059629 60119258 90178887 120238516 180357774 210417403 240477032 360715548 420834806 480954064 631252209 721431096 841669612 1262504418 1442862192 1683339224 2525008836 3366678448 5050017672 10100035344