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10322214144 = 283111221853
BaseRepresentation
bin10011001110100000…
…00111110100000000
3222122101001210211120
421213100013310000
5132114441323034
64424132512240
7513536241534
oct114720076400
928571053746
1010322214144
1144176912a0
122000a7b680
13c86695428
146dcc79bc4
15406308c49
hex267407d00

10322214144 has 72 divisors (see below), whose sum is σ = 29969634912. Its totient is φ = 3127941120.

The previous prime is 10322214059. The next prime is 10322214191. The reversal of 10322214144 is 44141222301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 602479 + ... + 619374.

Almost surely, 210322214144 is an apocalyptic number.

It is an amenable number.

10322214144 is an abundant number, since it is smaller than the sum of its proper divisors (19647420768).

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

10322214144 is a wasteful number, since it uses less digits than its factorization.

10322214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221883 (or 1221869 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10322214144 its reverse (44141222301), we get a palindrome (54463436445).

The spelling of 10322214144 in words is "ten billion, three hundred twenty-two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 1221853 2443706 3665559 4887412 7331118 9774824 13440383 14662236 19549648 26880766 29324472 39099296 40321149 53761532 58648944 78198592 80642298 107523064 117297888 156397184 161284596 215046128 234595776 312794368 322569192 430092256 469191552 645138384 860184512 938383104 1290276768 1720369024 2580553536 3440738048 5161107072 10322214144