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102022222034240 = 2651013156628157
BaseRepresentation
bin10111001100100111100110…
…010011011011010101000000
3111101020020012001211200102222
4113030213212103123111000
5101333013002320043430
61000552210051030212
730326601524624204
oct2714474623332500
9441206161750388
10102022222034240
112a564421696212
12b53870b89b368
1344c086752c8b1
141b29c8ab1cb04
15bbdc736389e5
hex5cc9e64db540

102022222034240 has 56 divisors (see below), whose sum is σ = 245345766952392. Its totient is φ = 40404840396800.

The previous prime is 102022222034153. The next prime is 102022222034267. The reversal of 102022222034240 is 42430222220201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51093217794304 + 50929004239936 = 7147952^2 + 7136456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1578281759 + ... + 1578346398.

Almost surely, 2102022222034240 is an apocalyptic number.

102022222034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022222034240 is an abundant number, since it is smaller than the sum of its proper divisors (143323544918152).

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

102022222034240 is a wasteful number, since it uses less digits than its factorization.

102022222034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156628275 (or 3156628265 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 102022222034240 its reverse (42430222220201), we get a palindrome (144452444254441).

The spelling of 102022222034240 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-two million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 2020 3232 4040 6464 8080 16160 32320 3156628157 6313256314 12626512628 15783140785 25253025256 31566281570 50506050512 63132563140 101012101024 126265126280 202024202048 252530252560 318819443857 505060505120 637638887714 1010121010240 1275277775428 1594097219285 2550555550856 3188194438570 5101111101712 6376388877140 10202222203424 12752777754280 20404444406848 25505555508560 51011111017120 102022222034240