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10034201312 = 251737349451
BaseRepresentation
bin10010101100001010…
…11100001011100000
3221220022010020111122
421112011130023200
5131022223420222
64335403431412
7503441206142
oct112605341340
927808106448
1010034201312
11428a054a63
121b40525568
13c3bb03835
146b2906c92
153dadb6a42
hex25615c2e0

10034201312 has 48 divisors (see below), whose sum is σ = 20973384432. Its totient is φ = 4709222400.

The previous prime is 10034201311. The next prime is 10034201323. The reversal of 10034201312 is 21310243001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034201311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178187 + ... + 227637.

It is an arithmetic number, because the mean of its divisors is an integer number (436945509).

Almost surely, 210034201312 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 10034201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486692216).

10034201312 is an abundant number, since it is smaller than the sum of its proper divisors (10939183120).

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

10034201312 is a wasteful number, since it uses less digits than its factorization.

10034201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49851 (or 49843 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10034201312 its reverse (21310243001), we get a palindrome (31344444313).

The spelling of 10034201312 in words is "ten billion, thirty-four million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 373 544 746 1492 2984 5968 6341 11936 12682 25364 49451 50728 98902 101456 197804 202912 395608 791216 840667 1582432 1681334 3362668 6725336 13450672 18445223 26901344 36890446 73780892 147561784 295123568 313568791 590247136 627137582 1254275164 2508550328 5017100656 10034201312