Search a number
-
+
10021411215 = 3251137192741
BaseRepresentation
bin10010101010101001…
…01001100110001111
3221212102001102210100
421111110221212033
5131010440124330
64334225342143
7503224406214
oct112524514617
927772042710
1010021411215
114282909632
121b38197953
13c3927602a
146b0d37b0b
153d9bdc060
hex25552998f

10021411215 has 48 divisors (see below), whose sum is σ = 17554942080. Its totient is φ = 5288156160.

The previous prime is 10021411189. The next prime is 10021411217. The reversal of 10021411215 is 51211412001.

10021411215 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021411215 - 218 = 10021149071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021411217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3654745 + ... + 3657485.

It is an arithmetic number, because the mean of its divisors is an integer number (365727960).

Almost surely, 210021411215 is an apocalyptic number.

10021411215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10021411215 is a deficient number, since it is larger than the sum of its proper divisors (7533530865).

10021411215 is a wasteful number, since it uses less digits than its factorization.

10021411215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10021411215 its reverse (51211412001), we get a palindrome (61232823216).

The spelling of 10021411215 in words is "ten billion, twenty-one million, four hundred eleven thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 45 113 339 565 719 1017 1695 2157 2741 3595 5085 6471 8223 10785 13705 24669 32355 41115 81247 123345 243741 309733 406235 731223 929199 1218705 1548665 1970779 2787597 3656115 4645995 5912337 9853895 13937985 17737011 29561685 88685055 222698027 668094081 1113490135 2004282243 3340470405 10021411215