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202002022000212 = 22377027342220859
BaseRepresentation
bin101101111011100001000010…
…110000111110011001010100
3222111020012112020020011101020
4231323201002300332121110
5202434100120113001322
61553342240421001140
760356110262454120
oct5573410260763124
9874205466204336
10202002022000212
1159400638267895
121a7a54185531b0
13889392a701285
1437c4d42c58580
15185480982805c
hexb7b842c3e654

202002022000212 has 48 divisors (see below), whose sum is σ = 538748717713920. Its totient is φ = 57706649959392.

The previous prime is 202002022000187. The next prime is 202002022000217. The reversal of 202002022000212 is 212000220200202.

202002022000212 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202002022000191 and 202002022000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202002022000217) 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, 170520162 + ... + 171700697.

It is an arithmetic number, because the mean of its divisors is an integer number (11223931619040).

Almost surely, 2202002022000212 is an apocalyptic number.

It is an amenable number.

202002022000212 is an abundant number, since it is smaller than the sum of its proper divisors (336746695713708).

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

202002022000212 is a wasteful number, since it uses less digits than its factorization.

202002022000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342227900 (or 342227898 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202002022000212 its reverse (212000220200202), we get a palindrome (414002242200414).

The spelling of 202002022000212 in words is "two hundred two trillion, two billion, twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 7027 14054 21081 28108 42162 49189 84324 98378 147567 196756 295134 590268 342220859 684441718 1026662577 1368883436 2053325154 2395546013 4106650308 4791092026 7186638039 9582184052 14373276078 28746552156 2404785976193 4809571952386 7214357928579 9619143904772 14428715857158 16833501833351 28857431714316 33667003666702 50500505500053 67334007333404 101001011000106 202002022000212