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211012101342 = 232737831095003
BaseRepresentation
bin1100010010000101001…
…1010010010011011110
3202011122210111101122200
43010201103102103132
511424123044220332
6240534305352330
721150035160510
oct3044123222336
9664583441580
10211012101342
11815429149a9
1234a8b6386a6
1316b8a8c2983
14a2da821bb0
15575010417c
hex31214d24de

211012101342 has 192 divisors, whose sum is σ = 548185397760. Its totient is φ = 57409834752.

The previous prime is 211012101337. The next prime is 211012101389. The reversal of 211012101342 is 243101210112.

211012101342 is a `hidden beast` number, since 2 + 110 + 1 + 210 + 1 + 342 = 666.

It is a super-2 number, since 2×2110121013422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42174613 + ... + 42179615.

It is an arithmetic number, because the mean of its divisors is an integer number (2855132280).

Almost surely, 2211012101342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012101342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274092698880).

211012101342 is an abundant number, since it is smaller than the sum of its proper divisors (337173296418).

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

211012101342 is a wasteful number, since it uses less digits than its factorization.

211012101342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211012101342 its reverse (243101210112), we get a palindrome (454113311454).

The spelling of 211012101342 in words is "two hundred eleven billion, twelve million, one hundred one thousand, three hundred forty-two".