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212414131320 = 23359127193943
BaseRepresentation
bin1100010111010011011…
…1100110110001111000
3202022021111122220012220
43011310313212301320
511440011004200240
6241325352004040
721226551216456
oct3056467466170
9668244586186
10212414131320
11820a226a866
1235201090620
1317052202401
14a3d0b019d6
1557d324a5d0
hex3174de6c78

212414131320 has 64 divisors (see below), whose sum is σ = 637315499520. Its totient is φ = 56637270144.

The previous prime is 212414131313. The next prime is 212414131327. The reversal of 212414131320 is 23131414212.

It is an interprime number because it is at equal distance from previous prime (212414131313) and next prime (212414131327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414131327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998269 + ... + 1192211.

It is an arithmetic number, because the mean of its divisors is an integer number (9958054680).

Almost surely, 2212414131320 is an apocalyptic number.

212414131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414131320 is an abundant number, since it is smaller than the sum of its proper divisors (424901368200).

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

212414131320 is a wasteful number, since it uses less digits than its factorization.

212414131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203084 (or 203080 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 212414131320 its reverse (23131414212), we get a palindrome (235545545532).

The spelling of 212414131320 in words is "two hundred twelve billion, four hundred fourteen million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9127 18254 27381 36508 45635 54762 73016 91270 109524 136905 182540 193943 219048 273810 365080 387886 547620 581829 775772 969715 1095240 1163658 1551544 1939430 2327316 2909145 3878860 4654632 5818290 7757720 11636580 23273160 1770117761 3540235522 5310353283 7080471044 8850588805 10620706566 14160942088 17701177610 21241413132 26551766415 35402355220 42482826264 53103532830 70804710440 106207065660 212414131320