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212223030302100 = 223521277553962491
BaseRepresentation
bin110000010000010000000110…
…010101011001010110010100
31000211102022201212120102010010
4300100100012111121112110
5210304030231224131400
62031205525245000220
762462415346531116
oct6020200625312624
91024368655512103
10212223030302100
1161691310a65174
121b9762b3553070
13915571340940c
143a5991421d3b6
15198061c22c450
hexc10406559594

212223030302100 has 72 divisors (see below), whose sum is σ = 614512808225568. Its totient is φ = 56548490979200.

The previous prime is 212223030302099. The next prime is 212223030302113. The reversal of 212223030302100 is 1203030322212.

It is a happy number.

It is a super-2 number, since 2×2122230303021002 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 276598146 + ... + 277364345.

It is an arithmetic number, because the mean of its divisors is an integer number (8534900114244).

Almost surely, 2212223030302100 is an apocalyptic number.

212223030302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212223030302100 is an abundant number, since it is smaller than the sum of its proper divisors (402289777923468).

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

212223030302100 is a wasteful number, since it uses less digits than its factorization.

212223030302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553963785 (or 553963778 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 212223030302100 its reverse (1203030322212), we get a palindrome (213426060624312).

The spelling of 212223030302100 in words is "two hundred twelve trillion, two hundred twenty-three billion, thirty million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1277 2554 3831 5108 6385 7662 12770 15324 19155 25540 31925 38310 63850 76620 95775 127700 191550 383100 553962491 1107924982 1661887473 2215849964 2769812455 3323774946 5539624910 6647549892 8309437365 11079249820 13849062275 16618874730 27698124550 33237749460 41547186825 55396249100 83094373650 166188747300 707410101007 1414820202014 2122230303021 2829640404028 3537050505035 4244460606042 7074101010070 8488921212084 10611151515105 14148202020140 17685252525175 21222303030210 35370505050350 42444606060420 53055757575525 70741010100700 106111515151050 212223030302100