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1010022013 = 711131099257
BaseRepresentation
bin111100001100111…
…011011001111101
32121101112102201201
4330030323121331
54032031201023
6244120135501
734013021410
oct7414733175
92541472651
101010022013
11479149540
12242307591
13131338a80
14981d9b77
155da10bad
hex3c33b67d

1010022013 has 32 divisors (see below), whose sum is σ = 1368702720. Its totient is φ = 719746560.

The previous prime is 1010021993. The next prime is 1010022019. The reversal of 1010022013 is 3102200101.

It is not a de Polignac number, because 1010022013 - 25 = 1010021981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010022019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104481 + ... + 113737.

It is an arithmetic number, because the mean of its divisors is an integer number (42771960).

Almost surely, 21010022013 is an apocalyptic number.

1010022013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010022013 is a deficient number, since it is larger than the sum of its proper divisors (358680707).

1010022013 is a wasteful number, since it uses less digits than its factorization.

1010022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1010022013 is about 31780.8434910089. The cubic root of 1010022013 is about 1003.3295726421.

Adding to 1010022013 its reverse (3102200101), we get a palindrome (4112222114).

The spelling of 1010022013 in words is "one billion, ten million, twenty-two thousand, thirteen".

Divisors: 1 7 11 13 77 91 109 143 763 1001 1199 1417 8393 9257 9919 15587 64799 101827 109109 120341 712789 842387 1009013 1323751 7063091 9266257 11099143 13117169 77694001 91820183 144288859 1010022013