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1002210212022 = 237315115153319
BaseRepresentation
bin11101001010110000110…
…00100011100010110110
310112210212202022211101120
432211120120203202312
5112410011303241042
62044224203004410
7132256463146605
oct16453030434266
93483782284346
101002210212022
1135704259a9a8
1214229a209706
137367b1643c6
1436715bc1a3c
151b10a7eddec
hexe9586238b6

1002210212022 has 32 divisors (see below), whose sum is σ = 2045334520320. Its totient is φ = 327311668800.

The previous prime is 1002210212021. The next prime is 1002210212089. The reversal of 1002210212022 is 2202120122001.

It is a super-4 number, since 4×10022102120224 (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002210211992 and 1002210212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002210212021) 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, 7510522 + ... + 7642797.

It is an arithmetic number, because the mean of its divisors is an integer number (63916703760).

Almost surely, 21002210212022 is an apocalyptic number.

1002210212022 is an abundant number, since it is smaller than the sum of its proper divisors (1043124308298).

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

1002210212022 is a wasteful number, since it uses less digits than its factorization.

1002210212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153548.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1002210212022 its reverse (2202120122001), we get a palindrome (3204330334023).

The spelling of 1002210212022 in words is "one trillion, two billion, two hundred ten million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 73 146 151 219 302 438 453 906 11023 22046 33069 66138 15153319 30306638 45459957 90919914 1106192287 2212384574 2288151169 3318576861 4576302338 6637153722 6864453507 13728907014 167035035337 334070070674 501105106011 1002210212022