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212222100420 = 2232511107182879
BaseRepresentation
bin1100010110100101101…
…1000100001111000100
3202021210010022201100100
43011221123010033010
511434112324203140
6241254332044100
721222030042561
oct3055133041704
9667703281310
10212222100420
1182003930140
1235168903630
13170214a8465
14a3b33d5868
1557c1467530
hex31696c43c4

212222100420 has 72 divisors (see below), whose sum is σ = 702262229760. Its totient is φ = 51447781440.

The previous prime is 212222100401. The next prime is 212222100437. The reversal of 212222100420 is 24001222212.

212222100420 is a `hidden beast` number, since 2 + 1 + 22 + 221 + 0 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212222100393 and 212222100402.

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, 53589460 + ... + 53593419.

It is an arithmetic number, because the mean of its divisors is an integer number (9753642080).

Almost surely, 2212222100420 is an apocalyptic number.

212222100420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222100420 is an abundant number, since it is smaller than the sum of its proper divisors (490040129340).

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

212222100420 is a wasteful number, since it uses less digits than its factorization.

212222100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107182905 (or 107182900 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212222100420 its reverse (24001222212), we get a palindrome (236223322632).

The spelling of 212222100420 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 107182879 214365758 321548637 428731516 535914395 643097274 964645911 1071828790 1179011669 1286194548 1607743185 1929291822 2143657580 2358023338 3215486370 3537035007 3858583644 4716046676 4823229555 5895058345 6430972740 7074070014 9646459110 10611105021 11790116690 14148140028 17685175035 19292918220 21222210042 23580233380 35370350070 42444420084 53055525105 70740700140 106111050210 212222100420