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12211300223213 = 721379264791673
BaseRepresentation
bin1011000110110010101000…
…1101100100100011101101
31121020101111111201121100112
42301230222031210203231
53100032220324120323
641545443251105405
72400144255201500
oct261545215444355
947211444647315
1012211300223213
11398886869aa53
12145276b8a2265
136a769cbb1970
1430305c7a1137
1516299d489178
hexb1b2a3648ed

12211300223213 has 48 divisors (see below), whose sum is σ = 15497335687680. Its totient is φ = 9535680370944.

The previous prime is 12211300223209. The next prime is 12211300223257. The reversal of 12211300223213 is 31232200311221.

12211300223213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12211300223213 - 22 = 12211300223209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211300283213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133159145 + ... + 133250817.

It is an arithmetic number, because the mean of its divisors is an integer number (322861160160).

Almost surely, 212211300223213 is an apocalyptic number.

12211300223213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12211300223213 is a deficient number, since it is larger than the sum of its proper divisors (3286035464467).

12211300223213 is a wasteful number, since it uses less digits than its factorization.

12211300223213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94426 (or 94419 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12211300223213 its reverse (31232200311221), we get a palindrome (43443500534434).

The spelling of 12211300223213 in words is "twelve trillion, two hundred eleven billion, three hundred million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 7 13 49 79 91 553 637 1027 2647 3871 7189 18529 34411 50323 91673 129703 209113 240877 641711 1191749 1463791 1686139 2718469 4491977 7242167 8342243 10246537 19029283 50695169 58395701 94148171 133204981 242658431 354866183 659037197 1698609017 3154559603 4613260379 11890263119 19170016049 22081917221 134190112343 154573420547 249210208637 939330786401 1744471460459 12211300223213