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212323003311100 = 2252111179591636339
BaseRepresentation
bin110000010001101101001101…
…001100001010001111111100
31000211202212210011102110200011
4300101231031030022033330
5210312200002321423400
62031323501405313004
762502554645222503
oct6021551514121774
91024685704373604
10212323003311100
116171a753135560
121b991754265764
139161c86458646
143a606b985583a
15198301ddd48ba
hexc11b4d30a3fc

212323003311100 has 72 divisors (see below), whose sum is σ = 502631023305600. Its totient is φ = 77207663121600.

The previous prime is 212323003311091. The next prime is 212323003311101. The reversal of 212323003311100 is 1113300323212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323003311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128936731 + ... + 130573069.

It is an arithmetic number, because the mean of its divisors is an integer number (6980986434800).

Almost surely, 2212323003311100 is an apocalyptic number.

212323003311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212323003311100 is an abundant number, since it is smaller than the sum of its proper divisors (290308019994500).

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

212323003311100 is a wasteful number, since it uses less digits than its factorization.

212323003311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754323 (or 1754316 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 212323003311100 its reverse (1113300323212), we get a palindrome (213436303634312).

The spelling of 212323003311100 in words is "two hundred twelve trillion, three hundred twenty-three billion, three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 117959 235918 471836 589795 1179590 1297549 1636339 2359180 2595098 2948975 3272678 5190196 5897950 6487745 6545356 8181695 11795900 12975490 16363390 17999729 25950980 32438725 32726780 35999458 40908475 64877450 71998916 81816950 89998645 129754900 163633900 179997290 359994580 449993225 899986450 1799972900 193020912101 386041824202 772083648404 965104560505 1930209121010 2123230033111 3860418242020 4246460066222 4825522802525 8492920132444 9651045605050 10616150165555 19302091210100 21232300331110 42464600662220 53080750827775 106161501655550 212323003311100