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213002223312 = 24389457109103
BaseRepresentation
bin1100011001011111101…
…0111111111011010000
3202100210111021001202210
43012113322333323100
511442212032121222
6241504000512120
721250252011414
oct3062772777320
9670714231683
10213002223312
1182374224aaa
123534601b640
1317116cbbb38
14a448c68d44
155819bb4d0c
hex3197ebfed0

213002223312 has 80 divisors (see below), whose sum is σ = 557661093120. Its totient is φ = 70048720896.

The previous prime is 213002223293. The next prime is 213002223323. The reversal of 213002223312 is 213322200312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897753 + ... + 2006855.

It is an arithmetic number, because the mean of its divisors is an integer number (6970763664).

Almost surely, 2213002223312 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 213002223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278830546560).

213002223312 is an abundant number, since it is smaller than the sum of its proper divisors (344658869808).

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

213002223312 is a wasteful number, since it uses less digits than its factorization.

213002223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109660 (or 109654 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213002223312 its reverse (213322200312), we get a palindrome (426324423624).

The spelling of 213002223312 in words is "two hundred thirteen billion, two million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 457 534 712 914 1068 1371 1424 1828 2136 2742 3656 4272 5484 7312 10968 21936 40673 81346 109103 122019 162692 218206 244038 325384 327309 436412 488076 650768 654618 872824 976152 1309236 1745648 1952304 2618472 5236944 9710167 19420334 29130501 38840668 49860071 58261002 77681336 99720142 116522004 149580213 155362672 199440284 233044008 299160426 398880568 466088016 598320852 797761136 1196641704 2393283408 4437546319 8875092638 13312638957 17750185276 26625277914 35500370552 53250555828 71000741104 106501111656 213002223312