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10011221312 = 262910750411
BaseRepresentation
bin10010101001011011…
…10001110101000000
3221211200212201212112
421110231301311000
5131000333040222
64333223114452
7503041656101
oct112455616500
927750781775
1010011221312
114278089824
121b348a2a28
13c37118bc1
146ad8443a8
153d8d77be2
hex254b71d40

10011221312 has 56 divisors (see below), whose sum is σ = 20743529760. Its totient is φ = 4787740160.

The previous prime is 10011221281. The next prime is 10011221317. The reversal of 10011221312 is 21312211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011221317) 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, 173387 + ... + 223797.

Almost surely, 210011221312 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 10011221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10371764880).

10011221312 is an abundant number, since it is smaller than the sum of its proper divisors (10732308448).

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

10011221312 is a wasteful number, since it uses less digits than its factorization.

10011221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50559 (or 50549 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10011221312 its reverse (21312211001), we get a palindrome (31323432313).

The spelling of 10011221312 in words is "ten billion, eleven million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 107 116 214 232 428 464 856 928 1712 1856 3103 3424 6206 6848 12412 24824 49648 50411 99296 100822 198592 201644 403288 806576 1461919 1613152 2923838 3226304 5393977 5847676 10787954 11695352 21575908 23390704 43151816 46781408 86303632 93562816 156425333 172607264 312850666 345214528 625701332 1251402664 2502805328 5005610656 10011221312