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213283417160 = 235113713100947
BaseRepresentation
bin1100011010100010101…
…1101010110001001000
3202101112002101012012202
43012220223222301020
511443301023322120
6241551523455332
721260235063512
oct3065053526110
9671462335182
10213283417160
11824a8a24110
1235404227548
1317160333a28
14a474344bb2
15583470b875
hex31a8aeac48

213283417160 has 64 divisors (see below), whose sum is σ = 537662905920. Its totient is φ = 75461448960.

The previous prime is 213283417157. The next prime is 213283417169. The reversal of 213283417160 is 61714382312.

213283417160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213283417169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6534194 + ... + 6566753.

It is an arithmetic number, because the mean of its divisors is an integer number (8400982905).

Almost surely, 2213283417160 is an apocalyptic number.

213283417160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213283417160 is an abundant number, since it is smaller than the sum of its proper divisors (324379488760).

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

213283417160 is a wasteful number, since it uses less digits than its factorization.

213283417160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13101006 (or 13101002 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

Adding to 213283417160 its reverse (61714382312), we get a palindrome (274997799472).

The spelling of 213283417160 in words is "two hundred thirteen billion, two hundred eighty-three million, four hundred seventeen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 16280 13100947 26201894 52403788 65504735 104807576 131009470 144110417 262018940 288220834 484735039 524037880 576441668 720552085 969470078 1152883336 1441104170 1938940156 2423675195 2882208340 3877880312 4847350390 5332085429 5764416680 9694700780 10664170858 19389401560 21328341716 26660427145 42656683432 53320854290 106641708580 213283417160