Search a number
-
+
213101402310 = 23451049250799
BaseRepresentation
bin1100011001110111010…
…1010101100011000110
3202101001101212212210000
43012131311111203012
511442412424333220
6241521502342130
721252565014126
oct3063565254306
9671041785700
10213101402310
1182415205715
123537328a946
1317131705a34
14a4580c4c86
155823756390
hex319dd558c6

213101402310 has 80 divisors (see below), whose sum is σ = 573554520000. Its totient is φ = 56772641664.

The previous prime is 213101402299. The next prime is 213101402323. The reversal of 213101402310 is 13204101312.

213101402310 is a `hidden beast` number, since 2 + 1 + 310 + 1 + 40 + 2 + 310 = 666.

It is a super-2 number, since 2×2131014023102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724291 + ... + 975089.

It is an arithmetic number, because the mean of its divisors is an integer number (7169431500).

Almost surely, 2213101402310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213101402310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286777260000).

213101402310 is an abundant number, since it is smaller than the sum of its proper divisors (360453117690).

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

213101402310 is a wasteful number, since it uses less digits than its factorization.

213101402310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251867 (or 251858 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213101402310 its reverse (13204101312), we get a palindrome (226305503622).

The spelling of 213101402310 in words is "two hundred thirteen billion, one hundred one million, four hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1049 2098 3147 5245 6294 9441 10490 15735 18882 28323 31470 47205 56646 84969 94410 141615 169938 250799 283230 424845 501598 752397 849690 1253995 1504794 2257191 2507990 3761985 4514382 6771573 7523970 11285955 13543146 20314719 22571910 33857865 40629438 67715730 101573595 203147190 263088151 526176302 789264453 1315440755 1578528906 2367793359 2630881510 3946322265 4735586718 7103380077 7892644530 11838966795 14206760154 21310140231 23677933590 35516900385 42620280462 71033800770 106550701155 213101402310