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10121223424 = 28132233941
BaseRepresentation
bin10010110110100010…
…11001110100000000
3222010100212102101211
421123101121310000
5131212013122144
64352152535504
7505545660004
oct113321316400
928110772354
1010121223424
114324191a64
121b656b1594
13c53b52200
146c02ba704
153e3856034
hex25b459d00

10121223424 has 54 divisors (see below), whose sum is σ = 21876618246. Its totient is φ = 4671313920.

The previous prime is 10121223421. The next prime is 10121223461. The reversal of 10121223424 is 42432212101.

It can be written as a sum of positive squares in 3 ways, for example, as 274233600 + 9846989824 = 16560^2 + 99232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10121223395 and 10121223404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121223421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73707 + ... + 160234.

Almost surely, 210121223424 is an apocalyptic number.

It is an amenable number.

10121223424 is an abundant number, since it is smaller than the sum of its proper divisors (11755394822).

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

10121223424 is an equidigital number, since it uses as much as digits as its factorization.

10121223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233983 (or 233956 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10121223424 its reverse (42432212101), we get a palindrome (52553435525).

The spelling of 10121223424 in words is "ten billion, one hundred twenty-one million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 21632 43264 233941 467882 935764 1871528 3041233 3743056 6082466 7486112 12164932 14972224 24329864 29944448 39536029 48659728 59888896 79072058 97319456 158144116 194638912 316288232 389277824 632576464 778555648 1265152928 2530305856 5060611712 10121223424