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120202220220102 = 23331556912893767
BaseRepresentation
bin11011010101001011000010…
…101000110010111011000110
3120202121012221101210120212000
4123111023002220302323012
5111223343121334020402
61103352045422010130
734214216033534106
oct3325130250627306
9522535841716760
10120202220220102
1135333525715659
1211593bb4416946
13520c036709b47
142197b65d73206
15dd6b0798cc1c
hex6d52c2a32ec6

120202220220102 has 64 divisors (see below), whose sum is σ = 275782224998400. Its totient is φ = 38767944107520.

The previous prime is 120202220220101. The next prime is 120202220220151. The reversal of 120202220220102 is 201022022202021.

120202220220102 is a `hidden beast` number, since 1 + 20 + 202 + 220 + 220 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202220220101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2875623 + ... + 15769389.

It is an arithmetic number, because the mean of its divisors is an integer number (4309097265600).

Almost surely, 2120202220220102 is an apocalyptic number.

120202220220102 is an abundant number, since it is smaller than the sum of its proper divisors (155580004778298).

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

120202220220102 is a wasteful number, since it uses less digits than its factorization.

120202220220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899378 (or 12899372 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120202220220102 its reverse (201022022202021), we get a palindrome (321224242422123).

The spelling of 120202220220102 in words is "one hundred twenty trillion, two hundred two billion, two hundred twenty million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 5569 11138 16707 33414 50121 100242 150363 172639 300726 345278 517917 1035834 1553751 3107502 4661253 9322506 12893767 25787534 38681301 77362602 116043903 232087806 348131709 399706777 696263418 799413554 1199120331 2398240662 3597360993 7194721986 10792082979 21584165958 71805388423 143610776846 215416165269 430832330538 646248495807 1292496991614 1938745487421 2225967041113 3877490974842 4451934082226 6677901123339 13355802246678 20033703370017 40067406740034 60101110110051 120202220220102