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211021020120 = 23351992553079
BaseRepresentation
bin1100010010000111010…
…1010011101111011000
3202011200102021111220210
43010201311103233120
511424132340120440
6240535224451120
721150204035001
oct3044165235730
9664612244823
10211021020120
1181547956799
1234a92619aa0
1316b8c6c6361
14a2dbaa41a8
155750cb6a80
hex3121d53bd8

211021020120 has 64 divisors (see below), whose sum is σ = 666382176000. Its totient is φ = 53310572928.

The previous prime is 211021020097. The next prime is 211021020137. The reversal of 211021020120 is 21020120112.

211021020120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211021020096 and 211021020105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46274260 + ... + 46278819.

It is an arithmetic number, because the mean of its divisors is an integer number (10412221500).

Almost surely, 2211021020120 is an apocalyptic number.

211021020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021020120 is an abundant number, since it is smaller than the sum of its proper divisors (455361155880).

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

211021020120 is a wasteful number, since it uses less digits than its factorization.

211021020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92553112 (or 92553108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211021020120 its reverse (21020120112), we get a palindrome (232041140232).

The spelling of 211021020120 in words is "two hundred eleven billion, twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 92553079 185106158 277659237 370212316 462765395 555318474 740424632 925530790 1110636948 1388296185 1758508501 1851061580 2221273896 2776592370 3517017002 3702123160 5275525503 5553184740 7034034004 8792542505 10551051006 11106369480 14068068008 17585085010 21102102012 26377627515 35170170020 42204204024 52755255030 70340340040 105510510060 211021020120