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10212110720 = 27572279489
BaseRepresentation
bin10011000001011000…
…00111000110000000
3222100200212222022222
421200230013012000
5131403300020340
64405200550212
7511031336360
oct114054070600
928320788288
1010212110720
114370519a29
121b90022368
13c69924c86
146cc3b89a0
153eb80a8b5
hex260b07180

10212110720 has 64 divisors (see below), whose sum is σ = 27900957600. Its totient is φ = 3501293568.

The previous prime is 10212110717. The next prime is 10212110729. The reversal of 10212110720 is 2701121201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212110729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135265 + ... + 1144224.

Almost surely, 210212110720 is an apocalyptic number.

10212110720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212110720 is an abundant number, since it is smaller than the sum of its proper divisors (17688846880).

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

10212110720 is an equidigital number, since it uses as much as digits as its factorization.

10212110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279515 (or 2279503 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 10212110720 its reverse (2701121201), we get a palindrome (12913231921).

The spelling of 10212110720 in words is "ten billion, two hundred twelve million, one hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 2279489 4558978 9117956 11397445 15956423 18235912 22794890 31912846 36471824 45589780 63825692 72943648 79782115 91179560 127651384 145887296 159564230 182359120 255302768 291774592 319128460 364718240 510605536 638256920 729436480 1021211072 1276513840 1458872960 2042422144 2553027680 5106055360 10212110720