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212130132520 = 2352328322879
BaseRepresentation
bin1100010110001111110…
…0001111001000101000
3202021112201021021002211
43011203330033020220
511433420303220040
6241241244534504
721216532242565
oct3054374171050
9667481237084
10212130132520
1181a66a25309
1235141b51434
1317008417897
14a3a50d586c
1557b834c8ea
hex3163f0f228

212130132520 has 96 divisors (see below), whose sum is σ = 499984358400. Its totient is φ = 80847947136.

The previous prime is 212130132503. The next prime is 212130132541. The reversal of 212130132520 is 25231031212.

It is a junction number, because it is equal to n+sod(n) for n = 212130132491 and 212130132500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73680441 + ... + 73683319.

It is an arithmetic number, because the mean of its divisors is an integer number (5208170400).

Almost surely, 2212130132520 is an apocalyptic number.

212130132520 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 212130132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249992179200).

212130132520 is an abundant number, since it is smaller than the sum of its proper divisors (287854225880).

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

212130132520 is a wasteful number, since it uses less digits than its factorization.

212130132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 212130132520 its reverse (25231031212), we get a palindrome (237361163732).

The spelling of 212130132520 in words is "two hundred twelve billion, one hundred thirty million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 283 460 566 920 1132 1415 2264 2830 2879 5660 5758 6509 11320 11516 13018 14395 23032 26036 28790 32545 52072 57580 65090 66217 80089 115160 130180 132434 160178 260360 264868 320356 331085 400445 529736 640712 662170 800890 814757 1324340 1601780 1629514 1842047 2648680 3203560 3259028 3684094 4073785 6518056 7368188 8147570 9210235 14736376 16295140 18420470 18739411 32590280 36840940 37478822 73681880 74957644 93697055 149915288 187394110 230576231 374788220 461152462 749576440 922304924 1152881155 1844609848 2305762310 4611524620 5303253313 9223049240 10606506626 21213013252 26516266565 42426026504 53032533130 106065066260 212130132520