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212021144340 = 223517307677081
BaseRepresentation
bin1100010101110101110…
…0011110101100010100
3202021021010012002102120
43011131130132230110
511433204403104330
6241222352535540
721214036664025
oct3053534365424
9667233162376
10212021144340
1181a10454935
12351115515b0
1316cbb977c35
14a394844c4c
1557ad9bec10
hex315d71eb14

212021144340 has 96 divisors (see below), whose sum is σ = 630628758144. Its totient is φ = 53039738880.

The previous prime is 212021144327. The next prime is 212021144353. The reversal of 212021144340 is 43441120212.

It is an interprime number because it is at equal distance from previous prime (212021144327) and next prime (212021144353).

It is a super-2 number, since 2×2120211443402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212021144340.

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, 25401 + ... + 651680.

It is an arithmetic number, because the mean of its divisors is an integer number (6569049564).

Almost surely, 2212021144340 is an apocalyptic number.

212021144340 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 212021144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315314379072).

212021144340 is an abundant number, since it is smaller than the sum of its proper divisors (418607613804).

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

212021144340 is a wasteful number, since it uses less digits than its factorization.

212021144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677417 (or 677415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212021144340 its reverse (43441120212), we get a palindrome (255462264552).

The spelling of 212021144340 in words is "two hundred twelve billion, twenty-one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 307 340 510 614 921 1020 1228 1535 1842 3070 3684 4605 5219 6140 9210 10438 15657 18420 20876 26095 31314 52190 62628 78285 104380 156570 313140 677081 1354162 2031243 2708324 3385405 4062486 6770810 8124972 10156215 11510377 13541620 20312430 23020754 34531131 40624860 46041508 57551885 69062262 115103770 138124524 172655655 207863867 230207540 345311310 415727734 623591601 690622620 831455468 1039319335 1247183202 2078638670 2494366404 3117958005 3533685739 4157277340 6235916010 7067371478 10601057217 12471832020 14134742956 17668428695 21202114434 35336857390 42404228868 53005286085 70673714780 106010572170 212021144340