Search a number
-
+
211143121341112 = 234110315833948071
BaseRepresentation
bin110000000000100010010110…
…101111101000101010111000
31000200121002022011100011200101
4300000202112233220222320
5210133332103030403422
62025021451052045144
762321405244031252
oct6000422657505270
91020532264304611
10211143121341112
1161305327564154
121b820b501637b4
1390a7931b3290c
143a1d54b178cd2
1519624b54cbc27
hexc00896be8ab8

211143121341112 has 64 divisors (see below), whose sum is σ = 409745441064960. Its totient is φ = 101932218796800.

The previous prime is 211143121341107. The next prime is 211143121341149.

It is a happy number.

211143121341112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2111431213411122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51506037 + ... + 55454107.

It is an arithmetic number, because the mean of its divisors is an integer number (6402272516640).

Almost surely, 2211143121341112 is an apocalyptic number.

It is an amenable number.

211143121341112 is a deficient number, since it is larger than the sum of its proper divisors (198602319723848).

211143121341112 is a wasteful number, since it uses less digits than its factorization.

211143121341112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949804 (or 3949800 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The spelling of 211143121341112 in words is "two hundred eleven trillion, one hundred forty-three billion, one hundred twenty-one million, three hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 41 82 103 164 206 328 412 824 1583 3166 4223 6332 8446 12664 16892 33784 64903 129806 163049 259612 326098 519224 652196 1304392 3948071 6685009 7896142 13370018 15792284 26740036 31584568 53480072 161870911 323741822 406651313 647483644 813302626 1294967288 1626605252 3253210504 6249796393 12499592786 16672703833 24999185572 33345407666 49998371144 66690815332 133381630664 256241652113 512483304226 643729028479 1024966608452 1287458056958 2049933216904 2574916113916 5149832227832 26392890167639 52785780335278 105571560670556 211143121341112