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202202012101122 = 232112713768347909
BaseRepresentation
bin101101111110011011010011…
…000110101010101000000010
3222111221022201212212220212200
4231332123103012222220002
5203000334210044213442
61554014153314534030
760406420233331605
oct5576332306525002
9874838655786780
10202202012101122
1159478434487720
121a818130897316
1388a974c9657a7
1437d08b58c033c
151859b11e9434c
hexb7e6d31aaa02

202202012101122 has 48 divisors (see below), whose sum is σ = 479695615551360. Its totient is φ = 61047236109600.

The previous prime is 202202012101079. The next prime is 202202012101153. The reversal of 202202012101122 is 221101210202202.

It is a happy number.

202202012101122 is a `hidden beast` number, since 2 + 0 + 220 + 201 + 210 + 11 + 22 = 666.

202202012101122 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 202202012101095 and 202202012101104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884120297 + ... + 1884227612.

It is an arithmetic number, because the mean of its divisors is an integer number (9993658657320).

Almost surely, 2202202012101122 is an apocalyptic number.

202202012101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202202012101122 is an abundant number, since it is smaller than the sum of its proper divisors (277493603450238).

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

202202012101122 is a wasteful number, since it uses less digits than its factorization.

202202012101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768348199 (or 3768348196 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202202012101122 its reverse (221101210202202), we get a palindrome (423303222303324).

The spelling of 202202012101122 in words is "two hundred two trillion, two hundred two billion, twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 271 542 813 1626 2439 2981 4878 5962 8943 17886 26829 53658 3768347909 7536695818 11305043727 22610087454 33915131181 41451826999 67830262362 82903653998 124355480997 248710961994 373066442991 746132885982 1021222283339 2042444566678 3063666850017 6127333700034 9191000550051 11233445116729 18382001100102 22466890233458 33700335350187 67400670700374 101101006050561 202202012101122