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212232310401330 = 23351941370820741
BaseRepresentation
bin110000010000011000101111…
…011110001010100100110010
31000211110012200121201022001000
4300100120233132022210302
5210304203232430320310
62031214102153422430
762463164333215032
oct6020305736124462
91024405617638030
10212232310401330
116169524337806a
121b97806340aa16
139156561c0a2ab
143a5a1549078c2
1519809b1cd64c0
hexc1062f78a932

212232310401330 has 64 divisors (see below), whose sum is σ = 595739818684800. Its totient is φ = 53616583679040.

The previous prime is 212232310401281. The next prime is 212232310401337. The reversal of 212232310401330 is 33104013232212.

212232310401330 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 323 + 1 + 0 + 4 + 0 + 1 + 330 = 666.

It is a super-2 number, since 2×2122323104013302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212232310401294 and 212232310401303.

It is not an unprimeable number, because it can be changed into a prime (212232310401337) 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, 20685405241 + ... + 20685415500.

It is an arithmetic number, because the mean of its divisors is an integer number (9308434666950).

Almost surely, 2212232310401330 is an apocalyptic number.

212232310401330 is an abundant number, since it is smaller than the sum of its proper divisors (383507508283470).

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

212232310401330 is a wasteful number, since it uses less digits than its factorization.

212232310401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41370820776 (or 41370820770 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212232310401330 its reverse (33104013232212), we get a palindrome (245336323633542).

The spelling of 212232310401330 in words is "two hundred twelve trillion, two hundred thirty-two billion, three hundred ten million, four hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 41370820741 82741641482 124112462223 206854103705 248224924446 372337386669 413708207410 620562311115 744674773338 786045594079 1117012160007 1241124622230 1572091188158 1861686933345 2234024320014 2358136782237 3723373866690 3930227970395 4716273564474 5585060800035 7074410346711 7860455940790 11170121600070 11790683911185 14148820693422 21223231040133 23581367822370 35372051733555 42446462080266 70744103467110 106116155200665 212232310401330