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213213121320 = 23352381746231
BaseRepresentation
bin1100011010010001111…
…1100000101100101000
3202101100012002210110010
43012210133200230220
511443130024340240
6241540533051520
721255422425413
oct3064437405450
9671305083403
10213213121320
1182472280881
12353a4786ba0
131714b8c0664
14a468c86b7a
15582d473280
hex31a47e0b28

213213121320 has 64 divisors (see below), whose sum is σ = 639908864640. Its totient is φ = 56832876800.

The previous prime is 213213121243. The next prime is 213213121333. The reversal of 213213121320 is 23121312312.

It is an unprimeable number.

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, 87396 + ... + 658835.

It is an arithmetic number, because the mean of its divisors is an integer number (9998576010).

Almost surely, 2213213121320 is an apocalyptic number.

213213121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213213121320 is an abundant number, since it is smaller than the sum of its proper divisors (426695743320).

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

213213121320 is a wasteful number, since it uses less digits than its factorization.

213213121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748626 (or 748622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213213121320 its reverse (23121312312), we get a palindrome (236334433632).

The spelling of 213213121320 in words is "two hundred thirteen billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2381 4762 7143 9524 11905 14286 19048 23810 28572 35715 47620 57144 71430 95240 142860 285720 746231 1492462 2238693 2984924 3731155 4477386 5969848 7462310 8954772 11193465 14924620 17909544 22386930 29849240 44773860 89547720 1776776011 3553552022 5330328033 7107104044 8883880055 10660656066 14214208088 17767760110 21321312132 26651640165 35535520220 42642624264 53303280330 71071040440 106606560660 213213121320