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1003213010020 = 225134782095991
BaseRepresentation
bin11101001100101000010…
…01111011010001100100
310112220110122021020122011
432212110021323101210
5112414040012310040
62044511504244004
7132323360613124
oct16462411732144
93486418236564
101003213010020
11357507654981
1214251a010604
13737aab40cc0
14367ad05ac84
151b1688843ea
hexe99427b464

1003213010020 has 48 divisors (see below), whose sum is σ = 2317077278208. Its totient is φ = 362535891840.

The previous prime is 1003213009999. The next prime is 1003213010021. The reversal of 1003213010020 is 200103123001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1003213010021) 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 15 ways as a sum of consecutive naturals, for example, 41035776 + ... + 41060215.

It is an arithmetic number, because the mean of its divisors is an integer number (48272443296).

Almost surely, 21003213010020 is an apocalyptic number.

1003213010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003213010020 is an abundant number, since it is smaller than the sum of its proper divisors (1313864268188).

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

1003213010020 is a wasteful number, since it uses less digits than its factorization.

1003213010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82096060 (or 82096058 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1003213010020 its reverse (200103123001), we get a palindrome (1203316133021).

The spelling of 1003213010020 in words is "one trillion, three billion, two hundred thirteen million, ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 12220 82095991 164191982 328383964 410479955 820959910 1067247883 1641919820 2134495766 3858511577 4268991532 5336239415 7717023154 10672478830 15434046308 19292557885 21344957660 38585115770 50160650501 77170231540 100321301002 200642602004 250803252505 501606505010 1003213010020