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10212423360 = 263585712413
BaseRepresentation
bin10011000001011010…
…10011011011000000
3222100201110212012020
421200231103123000
5131403340021420
64405211401440
7511034111016
oct114055233300
928321425166
1010212423360
114370712907
121b90153280
13c69a04379
146cc45a8b6
153eb86d340
hex260b536c0

10212423360 has 112 divisors (see below), whose sum is σ = 32464894176. Its totient is φ = 2719916032.

The previous prime is 10212423359. The next prime is 10212423367. The reversal of 10212423360 is 6332421201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10212423360.

It is not an unprimeable number, because it can be changed into a prime (10212423367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816514 + ... + 828926.

Almost surely, 210212423360 is an apocalyptic number.

10212423360 is a gapful number since it is divisible by the number (10) 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 10212423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232447088).

10212423360 is an abundant number, since it is smaller than the sum of its proper divisors (22252470816).

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

10212423360 is a wasteful number, since it uses less digits than its factorization.

10212423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290 (or 13280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10212423360 its reverse (6332421201), we get a palindrome (16544844561).

The spelling of 10212423360 in words is "ten billion, two hundred twelve million, four hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 857 960 1714 2571 3428 4285 5142 6856 8570 10284 12413 12855 13712 17140 20568 24826 25710 27424 34280 37239 41136 49652 51420 54848 62065 68560 74478 82272 99304 102840 124130 137120 148956 164544 186195 198608 205680 248260 274240 297912 372390 397216 411360 496520 595824 744780 794432 822720 993040 1191648 1489560 1986080 2383296 2979120 3972160 5958240 10637941 11916480 21275882 31913823 42551764 53189705 63827646 85103528 106379410 127655292 159569115 170207056 212758820 255310584 319138230 340414112 425517640 510621168 638276460 680828224 851035280 1021242336 1276552920 1702070560 2042484672 2553105840 3404141120 5106211680 10212423360