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211033423100 = 22525397410491
BaseRepresentation
bin1100010010001010010…
…0100111110011111100
3202011201021121122121102
43010202210213303330
511424144024014400
6240540350352232
721150414333203
oct3044244476374
9664637548542
10211033423100
1181553958295
1234a967bb678
1316b921498b6
14a2dd5b223a
155751e169d5
hex3122927cfc

211033423100 has 72 divisors (see below), whose sum is σ = 471394235088. Its totient is φ = 81966643200.

The previous prime is 211033423021. The next prime is 211033423103. The reversal of 211033423100 is 1324330112.

211033423100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2110334231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211033423103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 308855 + ... + 719345.

It is an arithmetic number, because the mean of its divisors is an integer number (6547142154).

Almost surely, 2211033423100 is an apocalyptic number.

211033423100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211033423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235697117544).

211033423100 is an abundant number, since it is smaller than the sum of its proper divisors (260360811988).

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

211033423100 is a wasteful number, since it uses less digits than its factorization.

211033423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410655 (or 410648 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211033423100 its reverse (1324330112), we get a palindrome (212357753212).

The spelling of 211033423100 in words is "two hundred eleven billion, thirty-three million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 97 100 106 194 212 265 388 485 530 970 1060 1325 1940 2425 2650 4850 5141 5300 9700 10282 20564 25705 51410 102820 128525 257050 410491 514100 820982 1641964 2052455 4104910 8209820 10262275 20524550 21756023 39817627 41049100 43512046 79635254 87024092 108780115 159270508 199088135 217560230 398176270 435120460 543900575 796352540 995440675 1087801150 1990881350 2110334231 2175602300 3981762700 4220668462 8441336924 10551671155 21103342310 42206684620 52758355775 105516711550 211033423100