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10010213312 = 261122762639
BaseRepresentation
bin10010101001010011…
…11011101111000000
3221211121222112011012
421110221323233000
5131000103311222
64333145340052
7503030260241
oct112451735700
927747875135
1010010213312
114277560470
121b34497628
13c36b55158
146ad660cc8
153d8c291e2
hex254a7bbc0

10010213312 has 56 divisors (see below), whose sum is σ = 21765646080. Its totient is φ = 4529980160.

The previous prime is 10010213303. The next prime is 10010213351. The reversal of 10010213312 is 21331201001.

10010213312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 128489 + ... + 191127.

Almost surely, 210010213312 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 10010213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882823040).

10010213312 is an abundant number, since it is smaller than the sum of its proper divisors (11755432768).

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

10010213312 is a wasteful number, since it uses less digits than its factorization.

10010213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62889 (or 62879 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10010213312 its reverse (21331201001), we get a palindrome (31341414313).

It can be divided in two parts, 10010 and 213312, that added together give a palindrome (223322).

The spelling of 10010213312 in words is "ten billion, ten million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 227 352 454 704 908 1816 2497 3632 4994 7264 9988 14528 19976 39952 62639 79904 125278 159808 250556 501112 689029 1002224 1378058 2004448 2756116 4008896 5512232 11024464 14219053 22048928 28438106 44097856 56876212 113752424 156409583 227504848 312819166 455009696 625638332 910019392 1251276664 2502553328 5005106656 10010213312