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10220233512 = 23331128910657
BaseRepresentation
bin10011000010010110…
…00110001100101000
3222101021011122201010
421201023012030220
5131412334433022
64410051023520
7511160360106
oct114113061450
928337148633
1010220233512
114375067785
121b9289aba0
13c6b50a268
146cd4d0c76
153ec3b250c
hex2612c6328

10220233512 has 64 divisors (see below), whose sum is σ = 26397734400. Its totient is φ = 3293982720.

The previous prime is 10220233511. The next prime is 10220233547. The reversal of 10220233512 is 21533202201.

It is not an unprimeable number, because it can be changed into a prime (10220233511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953688 + ... + 964344.

It is an arithmetic number, because the mean of its divisors is an integer number (412464600).

Almost surely, 210220233512 is an apocalyptic number.

10220233512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220233512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198867200).

10220233512 is an abundant number, since it is smaller than the sum of its proper divisors (16177500888).

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

10220233512 is a wasteful number, since it uses less digits than its factorization.

10220233512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11986 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10220233512 its reverse (21533202201), we get a palindrome (31753435713).

The spelling of 10220233512 in words is "ten billion, two hundred twenty million, two hundred thirty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1289 2578 3867 5156 7734 10312 10657 15468 21314 30936 31971 39959 42628 63942 79918 85256 119877 127884 159836 239754 255768 319672 330367 479508 660734 959016 991101 1321468 1982202 2642936 3964404 7928808 13736873 27473746 41210619 54947492 82421238 109894984 164842476 329684952 425843063 851686126 1277529189 1703372252 2555058378 3406744504 5110116756 10220233512