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243112222211342 = 211273137117185781
BaseRepresentation
bin110111010001101111111001…
…101001010011110100001110
31011212210022010202201100120212
4313101233321221103310032
5223331122312341230332
62221020114004442422
7102131164333604231
oct6721577151236416
91155708122640525
10243112222211342
1170510350574500
122332493b3a9412
13a5864cc090893
1444069a1399418
151d18d907508b2
hexdd1bf9a53d0e

243112222211342 has 96 divisors (see below), whose sum is σ = 409644832760352. Its totient is φ = 108102563712000.

The previous prime is 243112222211321. The next prime is 243112222211351.

It is a happy number.

243112222211342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243112222211299 and 243112222211308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2834060492 + ... + 2834146272.

It is an arithmetic number, because the mean of its divisors is an integer number (4267133674587).

Almost surely, 2243112222211342 is an apocalyptic number.

243112222211342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243112222211342 is a deficient number, since it is larger than the sum of its proper divisors (166532610549010).

243112222211342 is a wasteful number, since it uses less digits than its factorization.

243112222211342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87186 (or 87175 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 243112222211342 in words is "two hundred forty-three trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 11 22 73 121 137 146 242 274 803 1171 1507 1606 2342 3014 8833 10001 12881 16577 17666 20002 25762 33154 85483 85781 110011 141691 160427 170966 171562 220022 283382 320854 940313 943591 1210121 1764697 1880626 1887182 2420242 3529394 6262013 10343443 10379501 11711171 11751997 12524026 19411667 20686886 20759002 23422342 23503994 38823334 68882143 100449551 128822881 129271967 137764286 200899102 257645762 258543934 757703573 857895781 1104945061 1417051691 1421991637 1515407146 1715791562 2209890122 2834103382 2843983274 7332817223 9436853591 12154395671 13761588487 14665634446 18873707182 24308791342 27523176974 80660989453 103805389501 151377473357 161321978906 207610779002 302754946714 887270883983 1004595959551 1665152206927 1774541767966 2009191919102 3330304413854 11050555555061 22101111110122 121556111105671 243112222211342