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213422123442 = 23112569516643
BaseRepresentation
bin1100011011000011110…
…0110010100110110010
3202101212202101012110110
43012300330302212302
511444042030422232
6242013400442150
721263541055143
oct3066074624662
9671782335413
10213422123442
118256a252200
1235442779356
1317182caa258
14a48892daca
1558419a9acc
hex31b0f329b2

213422123442 has 48 divisors (see below), whose sum is σ = 470001379680. Its totient is φ = 64559584320.

The previous prime is 213422123417. The next prime is 213422123461. The reversal of 213422123442 is 244321224312.

213422123442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154773 + ... + 671415.

It is an arithmetic number, because the mean of its divisors is an integer number (9791695410).

Almost surely, 2213422123442 is an apocalyptic number.

213422123442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213422123442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235000689840).

213422123442 is an abundant number, since it is smaller than the sum of its proper divisors (256579256238).

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

213422123442 is a wasteful number, since it uses less digits than its factorization.

213422123442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517239 (or 517228 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 213422123442 its reverse (244321224312), we get a palindrome (457743347754).

The spelling of 213422123442 in words is "two hundred thirteen billion, four hundred twenty-two million, one hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 569 726 1138 1707 3414 6259 12518 18777 37554 68849 137698 206547 413094 516643 1033286 1549929 3099858 5683073 11366146 17049219 34098438 62513803 125027606 187541409 293969867 375082818 587939734 881909601 1763819202 3233668537 6467337074 9701005611 19402011222 35570353907 71140707814 106711061721 213422123442