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212012112202100 = 22527476444137149
BaseRepresentation
bin110000001101001011101010…
…101000101100100101110100
31000210200011022121221210001122
4300031023222220230211310
5210242101301210431400
62030525004134043112
762441240532336560
oct6015135250544564
91023604277853048
10212012112202100
116160a917214931
121b94144b4a9498
13913b86c139a52
143a4d6260aa6a0
151979dc54e5685
hexc0d2eaa2c974

212012112202100 has 72 divisors (see below), whose sum is σ = 536977060435200. Its totient is φ = 71143274113920.

The previous prime is 212012112202031. The next prime is 212012112202103. The reversal of 212012112202100 is 1202211210212.

It is a super-2 number, since 2×2120121122021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012112202103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222035675 + ... + 3222101474.

Almost surely, 2212012112202100 is an apocalyptic number.

212012112202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012112202100 is an abundant number, since it is smaller than the sum of its proper divisors (324964948233100).

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

212012112202100 is a wasteful number, since it uses less digits than its factorization.

212012112202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444137217 (or 6444137210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212012112202100 its reverse (1202211210212), we get a palindrome (213214323412312).

The spelling of 212012112202100 in words is "two hundred twelve trillion, twelve billion, one hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 4700 6580 8225 16450 32900 6444137149 12888274298 25776548596 32220685745 45108960043 64441371490 90217920086 128882742980 161103428725 180435840172 225544800215 302874446003 322206857450 451089600430 605748892006 644413714900 902179200860 1127724001075 1211497784012 1514372230015 2120121122021 2255448002150 3028744460030 4240242244042 4510896004300 6057488920060 7571861150075 8480484488084 10600605610105 15143722300150 21201211220210 30287444600300 42402422440420 53003028050525 106006056101050 212012112202100