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1002210212120 = 235131927327331
BaseRepresentation
bin11101001010110000110…
…00100011100100011000
310112210212202022211112012
432211120120203210120
5112410011303241440
62044224203005052
7132256463150105
oct16453030434430
93483782284465
101002210212120
1135704259aa87
1214229a209788
137367b164470
1436715bc1aac
151b10a7ede65
hexe958623918

1002210212120 has 32 divisors (see below), whose sum is σ = 2428432438320. Its totient is φ = 370046847360.

The previous prime is 1002210212089. The next prime is 1002210212141. The reversal of 1002210212120 is 212120122001.

It is a junction number, because it is equal to n+sod(n) for n = 1002210212095 and 1002210212104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 963663146 + ... + 963664185.

Almost surely, 21002210212120 is an apocalyptic number.

1002210212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002210212120 is an abundant number, since it is smaller than the sum of its proper divisors (1426222226200).

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

1002210212120 is a wasteful number, since it uses less digits than its factorization.

1002210212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927327355 (or 1927327351 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002210212120 its reverse (212120122001), we get a palindrome (1214330334121).

The spelling of 1002210212120 in words is "one trillion, two billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1927327331 3854654662 7709309324 9636636655 15418618648 19273273310 25055255303 38546546620 50110510606 77093093240 100221021212 125276276515 200442042424 250552553030 501105106060 1002210212120