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211321302120 = 233251015811917
BaseRepresentation
bin1100010011001110111…
…0110010110001101000
3202012110100022102101100
43010303232302301220
511430241223131440
6241025112521400
721160511300505
oct3046356626150
9665410272340
10211321302120
1181691403035
1234b570b0260
1316c09992606
14a32990c4ac
15576c32e230
hex3133bb2c68

211321302120 has 96 divisors (see below), whose sum is σ = 693594294120. Its totient is φ = 55794393600.

The previous prime is 211321302113. The next prime is 211321302133. The reversal of 211321302120 is 21203123112.

211321302120 is a `hidden beast` number, since 21 + 1 + 321 + 302 + 1 + 20 = 666.

211321302120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 191303013924 + 20018288196 = 437382^2 + 141486^2 .

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 = 211321302093 and 211321302102.

It is an unprimeable number.

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, 2869599 + ... + 2942318.

Almost surely, 2211321302120 is an apocalyptic number.

211321302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211321302120 is an abundant number, since it is smaller than the sum of its proper divisors (482272992000).

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

211321302120 is a wasteful number, since it uses less digits than its factorization.

211321302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812035 (or 5812028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211321302120 its reverse (21203123112), we get a palindrome (232524425232).

The spelling of 211321302120 in words is "two hundred eleven billion, three hundred twenty-one million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 5811917 11623834 17435751 23247668 29059585 34871502 46495336 52307253 58119170 69743004 87178755 104614506 116238340 139486008 174357510 209229012 232476680 261536265 348715020 418458024 523072530 587003617 697430040 1046145060 1174007234 1761010851 2092290120 2348014468 2935018085 3522021702 4696028936 5283032553 5870036170 7044043404 8805054255 10566065106 11740072340 14088086808 17610108510 21132130212 23480144680 26415162765 35220217020 42264260424 52830325530 70440434040 105660651060 211321302120