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10402114112 = 261353419563
BaseRepresentation
bin10011011000000001…
…11010101001000000
3222211221102010222122
421230000322221000
5132300420122422
64440105223412
7515526340205
oct115400725100
928757363878
1010402114112
1144587a4325
122023791b68
13c9a0bc110
14709717cac
1540d33cd42
hex26c03aa40

10402114112 has 112 divisors (see below), whose sum is σ = 22743322560. Its totient is φ = 4690802688.

The previous prime is 10402114111. The next prime is 10402114147. The reversal of 10402114112 is 21141120401.

It is not an unprimeable number, because it can be changed into a prime (10402114111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18475943 + ... + 18476505.

It is an arithmetic number, because the mean of its divisors is an integer number (203065380).

Almost surely, 210402114112 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 10402114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371661280).

10402114112 is an abundant number, since it is smaller than the sum of its proper divisors (12341208448).

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

10402114112 is a wasteful number, since it uses less digits than its factorization.

10402114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10402114112 its reverse (21141120401), we get a palindrome (31543234513).

The spelling of 10402114112 in words is "ten billion, four hundred two million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 419 424 563 689 832 838 848 1126 1378 1676 1696 2252 2756 3352 3392 4504 5447 5512 6704 7319 9008 10894 11024 13408 14638 18016 21788 22048 22207 26816 29276 29839 36032 43576 44096 44414 58552 59678 87152 88828 117104 119356 174304 177656 234208 235897 238712 288691 348608 355312 387907 468416 471794 477424 577382 710624 775814 943588 954848 1154764 1421248 1551628 1887176 1909696 2309528 3066661 3103256 3774352 4619056 6133322 6206512 7548704 9238112 12266644 12413024 12502541 15097408 18476224 24533288 24826048 25005082 49066576 50010164 98133152 100020328 162533033 196266304 200040656 325066066 400081312 650132132 800162624 1300264264 2600528528 5201057056 10402114112