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212313232120 = 235115373124717
BaseRepresentation
bin1100010110111011011…
…0101101001011111000
3202022000110210200112111
43011232312231023320
511434304141411440
6241311345222104
721224214460633
oct3055666551370
9668013720474
10212313232120
11820503147a0
1235193331934
1317037335542
14a3c1558c1a
1557c94694ea
hex316edad2f8

212313232120 has 128 divisors (see below), whose sum is σ = 538242978240. Its totient is φ = 74709872640.

The previous prime is 212313232111. The next prime is 212313232121. The reversal of 212313232120 is 21232313212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212313232091 and 212313232100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313232121) 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, 1640002 + ... + 1764718.

Almost surely, 2212313232120 is an apocalyptic number.

212313232120 is a gapful number since it is divisible by the number (20) 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 212313232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269121489120).

212313232120 is an abundant number, since it is smaller than the sum of its proper divisors (325929746120).

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

212313232120 is a wasteful number, since it uses less digits than its factorization.

212313232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124865 (or 124861 counting only the distinct ones).

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

Adding to 212313232120 its reverse (21232313212), we get a palindrome (233545545332).

The spelling of 212313232120 in words is "two hundred twelve billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 73 88 106 110 146 212 220 265 292 365 424 440 530 583 584 730 803 1060 1166 1460 1606 2120 2332 2915 2920 3212 3869 4015 4664 5830 6424 7738 8030 11660 15476 16060 19345 23320 30952 32120 38690 42559 77380 85118 124717 154760 170236 212795 249434 340472 425590 498868 623585 851180 997736 1247170 1371887 1702360 2494340 2743774 4988680 5487548 6610001 6859435 9104341 10975096 13220002 13718870 18208682 26440004 27437740 33050005 36417364 45521705 52880008 54875480 66100010 72710011 72834728 91043410 100147751 132200020 145420022 182086820 200295502 264400040 290840044 363550055 364173640 400591004 482530073 500738755 581680088 727100110 801182008 965060146 1001477510 1454200220 1930120292 2002955020 2412650365 2908400440 3860240584 4005910040 4825300730 5307830803 9650601460 10615661606 19301202920 21231323212 26539154015 42462646424 53078308030 106156616060 212313232120