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211001211100 = 225219234828403
BaseRepresentation
bin1100010010000010100…
…1101111100011011100
3202011122001000010001101
43010200221233203130
511424112302223400
6240533240122444
721146543462521
oct3044051574334
9664561003041
10211001211100
11815377569a9
1234a87a66424
1316b8857bb44
14a2d91c9148
15574e1a256a
hex3120a6f8dc

211001211100 has 72 divisors (see below), whose sum is σ = 502926560640. Its totient is φ = 76481887680.

The previous prime is 211001211079. The next prime is 211001211181. The reversal of 211001211100 is 1112100112.

It is a super-2 number, since 2×2110012111002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2370502 + ... + 2457901.

It is an arithmetic number, because the mean of its divisors is an integer number (6985091120).

Almost surely, 2211001211100 is an apocalyptic number.

211001211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001211100 is an abundant number, since it is smaller than the sum of its proper divisors (291925349540).

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

211001211100 is a wasteful number, since it uses less digits than its factorization.

211001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828459 (or 4828452 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211001211100 its reverse (1112100112), we get a palindrome (212113311212).

The spelling of 211001211100 in words is "two hundred eleven billion, one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10925 21850 43700 4828403 9656806 19313612 24142015 48284030 91739657 96568060 111053269 120710075 183479314 222106538 241420150 366958628 444213076 458698285 482840300 555266345 917396570 1110532690 1834793140 2110012111 2221065380 2293491425 2776331725 4220024222 4586982850 5552663450 8440048444 9173965700 10550060555 11105326900 21100121110 42200242220 52750302775 105500605550 211001211100