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211013313012 = 223246712551351
BaseRepresentation
bin1100010010000101011…
…1111010000111110100
3202011122212202221202100
43010201113322013310
511424123402004022
6240534351342100
721150051365205
oct3044127720764
9664585687670
10211013313012
1181543572287
1234a8bb21930
1316b8ac28338
14a2daa595ac
1557502931ac
hex31215fa1f4

211013313012 has 36 divisors (see below), whose sum is σ = 534536978976. Its totient is φ = 70187149200.

The previous prime is 211013312977. The next prime is 211013313041. The reversal of 211013313012 is 210313310112.

211013313012 is a `hidden beast` number, since 21 + 10 + 1 + 331 + 301 + 2 = 666.

211013313012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6258864 + ... + 6292487.

It is an arithmetic number, because the mean of its divisors is an integer number (14848249416).

Almost surely, 2211013313012 is an apocalyptic number.

It is an amenable number.

211013313012 is an abundant number, since it is smaller than the sum of its proper divisors (323523665964).

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

211013313012 is a wasteful number, since it uses less digits than its factorization.

211013313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551828 (or 12551823 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211013313012 its reverse (210313310112), we get a palindrome (421326623124).

The spelling of 211013313012 in words is "two hundred eleven billion, thirteen million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 467 934 1401 1868 2802 4203 5604 8406 16812 12551351 25102702 37654053 50205404 75308106 112962159 150616212 225924318 451848636 5861480917 11722961834 17584442751 23445923668 35168885502 52753328253 70337771004 105506656506 211013313012