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21211220120 = 2356137922937
BaseRepresentation
bin10011110000010010…
…011000100010011000
32000202020122121220012
4103300102120202120
5321420033020440
613424434021052
71350430252616
oct236022304230
960666577805
1021211220120
118aa51a9692
12413b717788
1320005ca12c
1410530d66b6
15842270e65
hex4f0498898

21211220120 has 64 divisors (see below), whose sum is σ = 48637735200. Its totient is φ = 8323015680.

The previous prime is 21211220113. The next prime is 21211220143. The reversal of 21211220120 is 2102211212.

It is a junction number, because it is equal to n+sod(n) for n = 21211220095 and 21211220104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913292 + ... + 936228.

Almost surely, 221211220120 is an apocalyptic number.

21211220120 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 21211220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318867600).

21211220120 is an abundant number, since it is smaller than the sum of its proper divisors (27426515080).

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

21211220120 is a wasteful number, since it uses less digits than its factorization.

21211220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23388 (or 23384 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21211220120 its reverse (2102211212), we get a palindrome (23313431332).

It can be divided in two parts, 212112 and 20120, that added together give a palindrome (232232).

The spelling of 21211220120 in words is "twenty-one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 379 488 610 758 1220 1516 1895 2440 3032 3790 7580 15160 22937 23119 45874 46238 91748 92476 114685 115595 183496 184952 229370 231190 458740 462380 917480 924760 1399157 2798314 5596628 6995785 8693123 11193256 13991570 17386246 27983140 34772492 43465615 55966280 69544984 86931230 173862460 347724920 530280503 1060561006 2121122012 2651402515 4242244024 5302805030 10605610060 21211220120