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200102112 = 2532799257
BaseRepresentation
bin10111110110101…
…01000011100000
3111221112020111100
423323111003200
5402211231422
631504514400
74646561040
oct1373250340
9457466440
10200102112
11a2a52751
125701ba00
13325c1922
141c80b720
15128797ac
hexbed50e0

200102112 has 72 divisors (see below), whose sum is σ = 650338416. Its totient is φ = 57171456.

The previous prime is 200102101. The next prime is 200102113. The reversal of 200102112 is 211201002.

200102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200102094 and 200102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47613 + ... + 51644.

It is an arithmetic number, because the mean of its divisors is an integer number (9032478).

Almost surely, 2200102112 is an apocalyptic number.

It is an amenable number.

200102112 is an abundant number, since it is smaller than the sum of its proper divisors (450236304).

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

200102112 is a wasteful number, since it uses less digits than its factorization.

200102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99280 (or 99269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200102112 is about 14145.7453674241. The cubic root of 200102112 is about 584.9030564758.

Adding to 200102112 its reverse (211201002), we get a palindrome (411303114).

It can be divided in two parts, 20010 and 2112, that added together give a palindrome (22122).

The spelling of 200102112 in words is "two hundred million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 99257 198514 297771 397028 595542 694799 794056 893313 1191084 1389598 1588112 1786626 2084397 2382168 2779196 3176224 3573252 4168794 4764336 5558392 6253191 7146504 8337588 9528672 11116784 12506382 14293008 16675176 22233568 25012764 28586016 33350352 50025528 66700704 100051056 200102112