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202000220112 = 24397191322679
BaseRepresentation
bin1011110000100000100…
…1101011111111010000
3201022101202001101122210
42330020021223333100
511302144024020422
6232444141432120
720410516353345
oct2741011537720
9638352041583
10202000220112
1178738949179
123319556b640
1316082842782
149ac39d67cc
1553c3d7c10c
hex2f0826bfd0

202000220112 has 80 divisors (see below), whose sum is σ = 527512487040. Its totient is φ = 66601476096.

The previous prime is 202000220083. The next prime is 202000220129. The reversal of 202000220112 is 211022000202.

202000220112 is digitally balanced in base 2 and base 3, because in such bases 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8895589 + ... + 8918267.

It is an arithmetic number, because the mean of its divisors is an integer number (6593906088).

Almost surely, 2202000220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263756243520).

202000220112 is an abundant number, since it is smaller than the sum of its proper divisors (325512266928).

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

202000220112 is a wasteful number, since it uses less digits than its factorization.

202000220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24700 (or 24694 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202000220112 its reverse (211022000202), we get a palindrome (413022220314).

The spelling of 202000220112 in words is "two hundred two billion, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 1913 2328 3826 4656 5739 7652 11478 15304 22679 22956 30608 45358 45912 68037 90716 91824 136074 181432 185561 272148 362864 371122 544296 556683 742244 1088592 1113366 1484488 2199863 2226732 2968976 4399726 4453464 6599589 8799452 8906928 13199178 17598904 26398356 35197808 43384927 52796712 86769854 105593424 130154781 173539708 260309562 347079416 520619124 694158832 1041238248 2082476496 4208337919 8416675838 12625013757 16833351676 25250027514 33666703352 50500055028 67333406704 101000110056 202000220112