Search a number
-
+
210331133012 = 227111397541549
BaseRepresentation
bin1100001111100010110…
…1100110010001010100
3202002220100010121201102
43003320231212101110
511421224232224022
6240342542045232
721124126063220
oct3037055462124
9662810117642
10210331133012
1181223494360
123491b579818
1316aac7b8030
14a2741dd780
155710440a92
hex30f8b66454

210331133012 has 96 divisors (see below), whose sum is σ = 499300435200. Its totient is φ = 74863595520.

The previous prime is 210331133011. The next prime is 210331133101.

210331133012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2103311330122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210331133011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117614 + ... + 659162.

It is an arithmetic number, because the mean of its divisors is an integer number (5201046200).

Almost surely, 2210331133012 is an apocalyptic number.

210331133012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210331133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249650217600).

210331133012 is an abundant number, since it is smaller than the sum of its proper divisors (288969302188).

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

210331133012 is a wasteful number, since it uses less digits than its factorization.

210331133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541681 (or 541679 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 210331 and 133012, that added together give a palindrome (343343).

The spelling of 210331133012 in words is "two hundred ten billion, three hundred thirty-one million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 97 143 154 182 194 286 308 364 388 572 679 1001 1067 1261 1358 2002 2134 2522 2716 4004 4268 5044 7469 8827 13871 14938 17654 27742 29876 35308 55484 97097 194194 388388 541549 1083098 2166196 3790843 5957039 7040137 7581686 11914078 14080274 15163372 23828156 28160548 41699273 49280959 52530253 77441507 83398546 98561918 105060506 154883014 166797092 197123836 210121012 309766028 367711771 542090549 577832783 682893289 735423542 1084181098 1155665566 1365786578 1470847084 2168362196 2311331132 2731573156 4044829481 4780253023 7511826179 8089658962 9560506046 15023652358 16179317924 19121012092 30047304716 52582783253 105165566506 210331133012