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210214435314 = 231343242325867
BaseRepresentation
bin1100001111000111000…
…0011011100111110010
3202002121012112202120110
43003301300123213302
511421004343412224
6240323212522150
721121211134542
oct3036160334762
9662535482513
10210214435314
1181173628684
12348a8480356
1316a91579240
14a262903322
15570508d929
hex30f1c1b9f2

210214435314 has 64 divisors (see below), whose sum is σ = 463508204544. Its totient is φ = 63148631616.

The previous prime is 210214435307. The next prime is 210214435351. The reversal of 210214435314 is 413534412012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8113809 + ... + 8139675.

It is an arithmetic number, because the mean of its divisors is an integer number (7242315696).

Almost surely, 2210214435314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210214435314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231754102272).

210214435314 is an abundant number, since it is smaller than the sum of its proper divisors (253293769230).

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

210214435314 is a wasteful number, since it uses less digits than its factorization.

210214435314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28351.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 210214435314 its reverse (413534412012), we get a palindrome (623748847326).

The spelling of 210214435314 in words is "two hundred ten billion, two hundred fourteen million, four hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 2423 3354 4846 7269 14538 25867 31499 51734 62998 77601 94497 104189 155202 188994 208378 312567 336271 625134 672542 1008813 1112281 1354457 2017626 2224562 2708914 3336843 4063371 6673686 8126742 14459653 28919306 43378959 62675741 86757918 125351482 188027223 376054446 814784633 1629569266 2444353899 2695056863 4888707798 5390113726 8085170589 16170341178 35035739219 70071478438 105107217657 210214435314