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213014430342 = 2357371692283
BaseRepresentation
bin1100011001100010100…
…1100100001010000110
3202100211100020020200000
43012120221210022012
511442223143232332
6241505114302130
721250460532420
oct3063051441206
9670740206600
10213014430342
118238010235a
123534a127946
13171196a412c
14a44a725810
15581acc6b7c
hex3198a64286

213014430342 has 96 divisors (see below), whose sum is σ = 561784134912. Its totient is φ = 59216331744.

The previous prime is 213014430341. The next prime is 213014430389. The reversal of 213014430342 is 243034410312.

213014430342 is a `hidden beast` number, since 213 + 0 + 1 + 443 + 0 + 3 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213014430341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720268 + ... + 972015.

It is an arithmetic number, because the mean of its divisors is an integer number (5851918072).

Almost surely, 2213014430342 is an apocalyptic number.

213014430342 is an abundant number, since it is smaller than the sum of its proper divisors (348769704570).

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

213014430342 is a wasteful number, since it uses less digits than its factorization.

213014430342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692344 (or 1692332 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 213014430342 its reverse (243034410312), we get a palindrome (456048840654).

The spelling of 213014430342 in words is "two hundred thirteen billion, fourteen million, four hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 486 518 567 666 777 999 1134 1554 1701 1998 2331 2997 3402 4662 5994 6993 8991 13986 17982 20979 41958 62937 125874 1692283 3384566 5076849 10153698 11845981 15230547 23691962 30461094 35537943 45691641 62614471 71075886 91383282 106613829 125228942 137074923 187843413 213227658 274149846 319841487 375686826 411224769 438301297 563530239 639682974 822449538 876602594 959524461 1127060478 1314903891 1690590717 1919048922 2629807782 2878573383 3381181434 3944711673 5071772151 5757146766 7889423346 10143544302 11834135019 15215316453 23668270038 30430632906 35502405057 71004810114 106507215171 213014430342