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214102300340 = 22515749679733
BaseRepresentation
bin1100011101100101111…
…1011101011010110100
3202110122011020202202102
43013121133131122310
512001440142102330
6242205055201232
721316440345155
oct3073137353264
9673564222672
10214102300340
1182889192175
12355b2516218
1317260b988a6
14a510dc792c
155881563945
hex31d97dd6b4

214102300340 has 24 divisors (see below), whose sum is σ = 449644041000. Its totient is φ = 85635356288.

The previous prime is 214102300271. The next prime is 214102300351. The reversal of 214102300340 is 43003201412.

It can be written as a sum of positive squares in 4 ways, for example, as 15211275556 + 198891024784 = 123334^2 + 445972^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24887 + ... + 654846.

It is an arithmetic number, because the mean of its divisors is an integer number (18735168375).

Almost surely, 2214102300340 is an apocalyptic number.

214102300340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214102300340 is an abundant number, since it is smaller than the sum of its proper divisors (235541740660).

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

214102300340 is a wasteful number, since it uses less digits than its factorization.

214102300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695491 (or 695489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 214102300340 its reverse (43003201412), we get a palindrome (257105501752).

The spelling of 214102300340 in words is "two hundred fourteen billion, one hundred two million, three hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 15749 31498 62996 78745 157490 314980 679733 1359466 2718932 3398665 6797330 13594660 10705115017 21410230034 42820460068 53525575085 107051150170 214102300340