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10212216520 = 23511191221557
BaseRepresentation
bin10011000001011001…
…00000111011001000
3222100201002100110111
421200230200323020
5131403311412040
64405203124104
7511032260002
oct114054407310
928321070414
1010212216520
114370591470
121b90073634
13c6996118c
146cc405372
153eb82bdea
hex260b20ec8

10212216520 has 64 divisors (see below), whose sum is σ = 26385652800. Its totient is φ = 3518081280.

The previous prime is 10212216503. The next prime is 10212216569. The reversal of 10212216520 is 2561221201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10212216491 and 10212216500.

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 15 ways as a sum of consecutive naturals, for example, 602419 + ... + 619138.

It is an arithmetic number, because the mean of its divisors is an integer number (412275825).

Almost surely, 210212216520 is an apocalyptic number.

10212216520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212216520 is an abundant number, since it is smaller than the sum of its proper divisors (16173436280).

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

10212216520 is a wasteful number, since it uses less digits than its factorization.

10212216520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221598 (or 1221594 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10212216520 its reverse (2561221201), we get a palindrome (12773437721).

The spelling of 10212216520 in words is "ten billion, two hundred twelve million, two hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 1221557 2443114 4886228 6107785 9772456 12215570 13437127 23209583 24431140 26874254 46419166 48862280 53748508 67185635 92838332 107497016 116047915 134371270 185676664 232095830 255305413 268742540 464191660 510610826 537485080 928383320 1021221652 1276527065 2042443304 2553054130 5106108260 10212216520