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213013103044 = 227172775233089
BaseRepresentation
bin1100011001100010010…
…0100000000111000100
3202100211020201210221211
43012120210200013010
511442222323244134
6241505030021204
721250443333640
oct3063044400704
9670736653854
10213013103044
118237a386115
12353497a7804
131711932ac51
14a44a49bc20
15581ab13764
hex31989201c4

213013103044 has 96 divisors (see below), whose sum is σ = 453727491840. Its totient is φ = 85419712512.

The previous prime is 213013102969. The next prime is 213013103057. The reversal of 213013103044 is 440301310312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68957052 + ... + 68960140.

It is an arithmetic number, because the mean of its divisors is an integer number (4726328040).

Almost surely, 2213013103044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213013103044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226863745920).

213013103044 is an abundant number, since it is smaller than the sum of its proper divisors (240714388796).

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

213013103044 is a wasteful number, since it uses less digits than its factorization.

213013103044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213013103044 its reverse (440301310312), we get a palindrome (653314413356).

The spelling of 213013103044 in words is "two hundred thirteen billion, thirteen million, one hundred three thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 277 476 523 554 1046 1108 1939 2092 3089 3661 3878 4709 6178 7322 7756 8891 9418 12356 14644 17782 18836 21623 32963 35564 43246 52513 62237 65926 86492 105026 124474 131852 144871 210052 248948 289742 367591 579484 735182 855653 1014097 1470364 1615547 1711306 2028194 2462807 3231094 3422612 4056388 4925614 5989571 6462188 9851228 11308829 11979142 14546101 17239649 22617658 23958284 27464299 29092202 34479298 45235316 54928598 58184404 68958596 101822707 109857196 192250093 203645414 384500186 407290828 447506519 769000372 895013038 1790026076 3132545633 6265091266 7607610823 12530182532 15215221646 30430443292 53253275761 106506551522 213013103044