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102223022102020 = 22526939747860357
BaseRepresentation
bin10111001111100010100110…
…111010111001011000000100
3111101221102111011121000121101
4113033202212322321120010
5101344310222124231040
61001224335201225444
730350240532216301
oct2717424672713004
9441842434530541
10102223022102020
112a6315a4034156
12b56b60b332284
134506788526751
141b358991860a8
15bc40c6e4a09a
hex5cf8a6eb9604

102223022102020 has 48 divisors (see below), whose sum is σ = 216009110968560. Its totient is φ = 40634590892544.

The previous prime is 102223022102011. The next prime is 102223022102029. The reversal of 102223022102020 is 20201220322201.

It is an interprime number because it is at equal distance from previous prime (102223022102011) and next prime (102223022102029).

It can be written as a sum of positive squares in 8 ways, for example, as 3174070054464 + 99048952047556 = 1781592^2 + 9952334^2 .

It is not an unprimeable number, because it can be changed into a prime (102223022102029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21794319 + ... + 26066038.

It is an arithmetic number, because the mean of its divisors is an integer number (4500189811845).

Almost surely, 2102223022102020 is an apocalyptic number.

102223022102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223022102020 is an abundant number, since it is smaller than the sum of its proper divisors (113786088866540).

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

102223022102020 is a wasteful number, since it uses less digits than its factorization.

102223022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47861032 (or 47861030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102223022102020 its reverse (20201220322201), we get a palindrome (122424242424221).

The spelling of 102223022102020 in words is "one hundred two trillion, two hundred twenty-three billion, twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 269 397 538 794 1076 1345 1588 1985 2690 3970 5380 7940 106793 213586 427172 533965 1067930 2135860 47860357 95720714 191441428 239301785 478603570 957207140 12874436033 19000561729 25748872066 38001123458 51497744132 64372180165 76002246916 95002808645 128744360330 190005617290 257488720660 380011234580 5111151105101 10222302210202 20444604420404 25555755525505 51111511051010 102223022102020