Search a number
-
+
212102021110120 = 23540969118762187
BaseRepresentation
bin110000001110011111011001…
…100111111101100101101000
31000210222202101112102112110221
4300032133121213331211220
5210300034414401010440
62031034153502015424
762450602544422051
oct6016373147754550
91023882345375427
10212102021110120
1161644a64479199
121b956961877574
13914719a11703b
143a53b14c55728
15197c3d887bd4a
hexc0e7d99fd968

212102021110120 has 64 divisors (see below), whose sum is σ = 479088718142400. Its totient is φ = 84510889643520.

The previous prime is 212102021110051. The next prime is 212102021110121. The reversal of 212102021110120 is 21011120201212.

It is a junction number, because it is equal to n+sod(n) for n = 212102021110094 and 212102021110103.

It is not an unprimeable number, because it can be changed into a prime (212102021110121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923667 + ... + 20685853.

It is an arithmetic number, because the mean of its divisors is an integer number (7485761220975).

Almost surely, 2212102021110120 is an apocalyptic number.

212102021110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102021110120 is an abundant number, since it is smaller than the sum of its proper divisors (266986697032280).

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

212102021110120 is a wasteful number, since it uses less digits than its factorization.

212102021110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18763298 (or 18763294 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212102021110120 its reverse (21011120201212), we get a palindrome (233113141311332).

The spelling of 212102021110120 in words is "two hundred twelve trillion, one hundred two billion, twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 409 691 818 1382 1636 2045 2764 3272 3455 4090 5528 6910 8180 13820 16360 27640 282619 565238 1130476 1413095 2260952 2826190 5652380 11304760 18762187 37524374 75048748 93810935 150097496 187621870 375243740 750487480 7673734483 12964671217 15347468966 25929342434 30694937932 38368672415 51858684868 61389875864 64823356085 76737344830 103717369736 129646712170 153474689660 259293424340 306949379320 518586848680 5302550527753 10605101055506 21210202111012 26512752638765 42420404222024 53025505277530 106051010555060 212102021110120