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202000120022120 = 23571971736589187
BaseRepresentation
bin101101111011011111010001…
…011001100000010001101000
3222111020000121200022122221012
4231323133101121200101220
5202434032221211201440
61553341323555003052
760356012166065360
oct5573372131402150
9874200550278835
10202000120022120
11593aa851690572
121a7a4b87599488
1388936b6657254
1437c4c023d79a0
151854747878e65
hexb7b7d1660468

202000120022120 has 64 divisors (see below), whose sum is σ = 519455238468480. Its totient is φ = 69253669552896.

The previous prime is 202000120022087. The next prime is 202000120022123. The reversal of 202000120022120 is 21220021000202.

202000120022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202000120022095 and 202000120022104.

It is not an unprimeable number, because it can be changed into a prime (202000120022123) 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, 12773834 + ... + 23815353.

It is an arithmetic number, because the mean of its divisors is an integer number (8116488101070).

Almost surely, 2202000120022120 is an apocalyptic number.

202000120022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000120022120 is an abundant number, since it is smaller than the sum of its proper divisors (317455118446360).

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

202000120022120 is a wasteful number, since it uses less digits than its factorization.

202000120022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36608922 (or 36608918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202000120022120 its reverse (21220021000202), we get a palindrome (223220141022322).

The spelling of 202000120022120 in words is "two hundred two trillion, one hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 19717 39434 78868 98585 138019 157736 197170 276038 394340 552076 690095 788680 1104152 1380190 2760380 5520760 36589187 73178374 146356748 182945935 256124309 292713496 365891870 512248618 731783740 1024497236 1280621545 1463567480 2048994472 2561243090 5122486180 10244972360 721429000079 1442858000158 2885716000316 3607145000395 5050003000553 5771432000632 7214290000790 10100006001106 14428580001580 20200012002212 25250015002765 28857160003160 40400024004424 50500030005530 101000060011060 202000120022120