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1002210422240 = 255194127129671
BaseRepresentation
bin11101001010110000110…
…01010110110111100000
310112210212202201111202102
432211120121112313200
5112410011332002430
62044224211305532
7132256465013516
oct16453031266740
93483782644672
101002210422240
11357042723935
1214229a2ab2a8
137367b208cb1
1436715c384b6
151b10a841345
hexe958656de0

1002210422240 has 192 divisors, whose sum is σ = 2562635335680. Its totient is φ = 369142272000.

The previous prime is 1002210422197. The next prime is 1002210422251. The reversal of 1002210422240 is 422240122001.

1002210422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33762605 + ... + 33792275.

It is an arithmetic number, because the mean of its divisors is an integer number (13347059040).

Almost surely, 21002210422240 is an apocalyptic number.

1002210422240 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 1002210422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281317667840).

1002210422240 is an abundant number, since it is smaller than the sum of its proper divisors (1560424913440).

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

1002210422240 is a wasteful number, since it uses less digits than its factorization.

1002210422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30017 (or 30009 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1002210422240 its reverse (422240122001), we get a palindrome (1424450544241).

The spelling of 1002210422240 in words is "one trillion, two billion, two hundred ten million, four hundred twenty-two thousand, two hundred forty".