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10001213312 = 27192415279
BaseRepresentation
bin10010101000001111…
…00110011110000000
3221211000001021110212
421110013212132000
5130440302311222
64332224413252
7502560624206
oct112407463600
927730037425
1010001213312
114272473652
121b31477228
13c350237cc
146ac39b076
153d804c6e2
hex2541e6780

10001213312 has 96 divisors (see below), whose sum is σ = 21545092800. Its totient is φ = 4620994560.

The previous prime is 10001213311. The next prime is 10001213363. The reversal of 10001213312 is 21331210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001213311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1891889 + ... + 1897167.

It is an arithmetic number, because the mean of its divisors is an integer number (224428050).

Almost surely, 210001213312 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 10001213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772546400).

10001213312 is an abundant number, since it is smaller than the sum of its proper divisors (11543879488).

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

10001213312 is an equidigital number, since it uses as much as digits as its factorization.

10001213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5341 counting only the distinct ones).

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

Adding to 10001213312 its reverse (21331210001), we get a palindrome (31332423313).

It can be divided in two parts, 10001 and 213312, that multiplied together give a palindrome (2133333312).

The spelling of 10001213312 in words is "ten billion, one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 304 328 361 608 656 722 779 1216 1312 1444 1558 2432 2624 2888 3116 5248 5279 5776 6232 10558 11552 12464 14801 21116 23104 24928 29602 42232 46208 49856 59204 84464 99712 100301 118408 168928 200602 216439 236816 337856 401204 432878 473632 675712 802408 865756 947264 1604816 1731512 1894528 1905719 3209632 3463024 3811438 4112341 6419264 6926048 7622876 8224682 12838528 13852096 15245752 16449364 27704192 30491504 32898728 60983008 65797456 78134479 121966016 131594912 156268958 243932032 263189824 312537916 526379648 625075832 1250151664 2500303328 5000606656 10001213312