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2112214413141 = 3271923312474881
BaseRepresentation
bin11110101111001001110…
…010100010111101010101
321110220222212001200002200
4132233021302202331111
5234101303342210031
64254200553155113
7305413433164350
oct36571162427525
97426885050080
102112214413141
1174486aa752a8
122a14403bba99
1312424776b0c1
1474335bc3297
1539e246dc8e6
hex1ebc9ca2f55

2112214413141 has 96 divisors (see below), whose sum is σ = 3953475502080. Its totient is φ = 1058456678400.

The previous prime is 2112214413121. The next prime is 2112214413149. The reversal of 2112214413141 is 1413144122112.

2112214413141 is a `hidden beast` number, since 2 + 11 + 221 + 4 + 413 + 14 + 1 = 666.

It is not a de Polignac number, because 2112214413141 - 26 = 2112214413077 is a prime.

It is a super-2 number, since 2×21122144131412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112214413149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383980 + ... + 2090901.

It is an arithmetic number, because the mean of its divisors is an integer number (41182036480).

Almost surely, 22112214413141 is an apocalyptic number.

2112214413141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112214413141 is a deficient number, since it is larger than the sum of its proper divisors (1841261088939).

2112214413141 is a wasteful number, since it uses less digits than its factorization.

2112214413141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474967 (or 2474964 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 2112214413141 its reverse (1413144122112), we get a palindrome (3525358535253).

The spelling of 2112214413141 in words is "two trillion, one hundred twelve billion, two hundred fourteen million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 19 21 23 31 57 63 69 93 133 161 171 207 217 279 399 437 483 589 651 713 1197 1311 1449 1767 1953 2139 3059 3933 4123 4991 5301 6417 9177 12369 13547 14973 27531 37107 40641 44919 94829 121923 284487 853461 2474881 7424643 17324167 22273929 47022739 51972501 56922263 76721311 141068217 155917503 170766789 230163933 329159173 398455841 423204651 512300367 537049177 690491799 987477519 1081522997 1195367523 1457704909 1611147531 1764590153 2962432557 3244568991 3586102569 4373114727 4833442593 5293770459 7570660979 9733706973 10203934363 12352131071 13119344181 15881311377 22711982937 30611803089 33527212907 37056393213 68135948811 91835409267 100581638721 111169179639 234690490349 301744916163 704071471047 2112214413141