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10120412244 = 2231910723877
BaseRepresentation
bin10010110110011100…
…10011110001010100
3222010022100012200010
421123032103301110
5131211311142434
64352123320220
7505536041025
oct113316236124
928108305603
1010120412244
114323788568
121b65380070
13c53929c17
146c0148c4c
153e37459e9
hex25b393c54

10120412244 has 72 divisors (see below), whose sum is σ = 25098105760. Its totient is φ = 3165234624.

The previous prime is 10120412209. The next prime is 10120412279. The reversal of 10120412244 is 44221402101.

10120412244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120412209) and next prime (10120412279).

It is a self number, because there is not a number n which added to its sum of digits gives 10120412244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2608434 + ... + 2612310.

Almost surely, 210120412244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120412244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549052880).

10120412244 is an abundant number, since it is smaller than the sum of its proper divisors (14977693516).

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

10120412244 is a wasteful number, since it uses less digits than its factorization.

10120412244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10120412244 its reverse (44221402101), we get a palindrome (54341814345).

The spelling of 10120412244 in words is "ten billion, one hundred twenty million, four hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1284 2033 3877 4066 6099 7754 8132 11449 11631 12198 15508 22898 23262 24396 34347 45796 46524 68694 73663 137388 147326 217531 220989 294652 414839 435062 441978 652593 829678 870124 883956 1244517 1305186 1659356 2489034 2610372 4978068 7881941 15763882 23645823 31527764 44387773 47291646 88775546 94583292 133163319 177551092 266326638 532653276 843367687 1686735374 2530103061 3373470748 5060206122 10120412244