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1002212323020 = 22325172273594019
BaseRepresentation
bin11101001010110001000…
…00100110111011001100
310112210212220022002010200
432211120200212323030
5112410012323314040
62044224320133500
7132256520121246
oct16453040467314
93483786262120
101002212323020
11357043801a27
1214229aa67290
137367b72320c
14367161b1096
151b10aab9630
hexe958826ecc

1002212323020 has 288 divisors, whose sum is σ = 3242862604800. Its totient is φ = 249667848192.

The previous prime is 1002212322989. The next prime is 1002212323051. The reversal of 1002212323020 is 203232122001.

1002212323020 is a `hidden beast` number, since 100 + 221 + 2 + 323 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1002212322989) and next prime (1002212323051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002212322984 and 1002212323002.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 249366571 + ... + 249370589.

It is an arithmetic number, because the mean of its divisors is an integer number (11259939600).

Almost surely, 21002212323020 is an apocalyptic number.

1002212323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002212323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621431302400).

1002212323020 is an abundant number, since it is smaller than the sum of its proper divisors (2240650281780).

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

1002212323020 is a wasteful number, since it uses less digits than its factorization.

1002212323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1002212323020 its reverse (203232122001), we get a palindrome (1205444445021).

The spelling of 1002212323020 in words is "one trillion, two billion, two hundred twelve million, three hundred twenty-three thousand, twenty".