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10101212320 = 255173713681
BaseRepresentation
bin10010110100001010…
…00100010010100000
3222001222012202022211
421122011010102200
5131141402243240
64350200011504
7505213613413
oct113205042240
928058182284
1010101212320
114313964361
121b5aa60b94
13c4c966a14
146bb78bb7a
153e1c01bea
hex25a1444a0

10101212320 has 48 divisors (see below), whose sum is σ = 25267892328. Its totient is φ = 3802808320.

The previous prime is 10101212311. The next prime is 10101212333. The reversal of 10101212320 is 2321210101.

It can be written as a sum of positive squares in 4 ways, for example, as 6823420816 + 3277791504 = 82604^2 + 57252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10101212320.

It is an unprimeable number.

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, 1854121 + ... + 1859560.

Almost surely, 210101212320 is an apocalyptic number.

10101212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101212320 is an abundant number, since it is smaller than the sum of its proper divisors (15166680008).

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

10101212320 is a wasteful number, since it uses less digits than its factorization.

10101212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713713 (or 3713705 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10101212320 its reverse (2321210101), we get a palindrome (12422422421).

The spelling of 10101212320 in words is "ten billion, one hundred one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3713681 7427362 14854724 18568405 29709448 37136810 59418896 63132577 74273620 118837792 126265154 148547240 252530308 297094480 315662885 505060616 594188960 631325770 1010121232 1262651540 2020242464 2525303080 5050606160 10101212320