Search a number
-
+
31204213014 = 231317113208253
BaseRepresentation
bin11101000011111010…
…101000000100010110
32222112200020021002010
4131003322220010112
51002401234304024
622200210325050
72153161301652
oct350372500426
988480207063
1031204213014
1112262a680a7
12606a289786
132c33a03090
141720353a62
15c296e7b29
hex743ea8116

31204213014 has 64 divisors (see below), whose sum is σ = 71792650944. Its totient is φ = 8956502016.

The previous prime is 31204212983. The next prime is 31204213043. The reversal of 31204213014 is 41031240213.

It is a congruent number.

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, 45712 + ... + 253964.

It is an arithmetic number, because the mean of its divisors is an integer number (1121760171).

Almost surely, 231204213014 is an apocalyptic number.

31204213014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31204213014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35896325472).

31204213014 is an abundant number, since it is smaller than the sum of its proper divisors (40588437930).

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

31204213014 is a wasteful number, since it uses less digits than its factorization.

31204213014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208401.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31204213014 its reverse (41031240213), we get a palindrome (72235453227).

The spelling of 31204213014 in words is "thirty-one billion, two hundred four million, two hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 113 221 226 339 442 663 678 1326 1469 1921 2938 3842 4407 5763 8814 11526 24973 49946 74919 149838 208253 416506 624759 1249518 2707289 3540301 5414578 7080602 8121867 10620903 16243734 21241806 23532589 46023913 47065178 70597767 92047826 138071739 141195534 276143478 305923657 400054013 611847314 800108026 917770971 1200162039 1835541942 2400324078 5200702169 10401404338 15602106507 31204213014