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102221234442000 = 2433533751161779
BaseRepresentation
bin10111001111100000111100…
…010111100000111100010000
3111101221020212120210111002000
4113033200330113200330100
5101344243042004121000
61001223441541354000
730350145324315432
oct2717407427407420
9441836776714060
10102221234442000
112a630866a38783
12b56b1b0708900
13450656206735b
141b357699a2652
15bc402002d000
hex5cf83c5e0f10

102221234442000 has 320 divisors, whose sum is σ = 376075919481600. Its totient is φ = 26522265715200.

The previous prime is 102221234441897. The next prime is 102221234442043. The reversal of 102221234442000 is 244432122201.

It is a happy number.

102221234442000 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 1 + 234 + 4 + 420 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 23582890 + ... + 27578889.

It is an arithmetic number, because the mean of its divisors is an integer number (1175237248380).

Almost surely, 2102221234442000 is an apocalyptic number.

102221234442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221234442000 is an abundant number, since it is smaller than the sum of its proper divisors (273854685039600).

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

102221234442000 is a wasteful number, since it uses less digits than its factorization.

102221234442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51161848 (or 51161826 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102221234442000 its reverse (244432122201), we get a palindrome (102465666564201).

The spelling of 102221234442000 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred thirty-four million, four hundred forty-two thousand".