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211100011020 = 223251975953187
BaseRepresentation
bin1100010010011010001…
…0101000101000001100
3202011212220220200001200
43010212202220220030
511424313100323040
6240551125505500
721152153326113
oct3044642505014
9664786820050
10211100011020
11815884a8828
1234ab4b72290
1316ba2b92332
14a308386c7a
155757bbb630
hex31268a8a0c

211100011020 has 72 divisors (see below), whose sum is σ = 643587248304. Its totient is φ = 56007573888.

The previous prime is 211100011013. The next prime is 211100011021. The reversal of 211100011020 is 20110001112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211100010993 and 211100011011.

It is not an unprimeable number, because it can be changed into a prime (211100011021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2941134 + ... + 3012053.

It is an arithmetic number, because the mean of its divisors is an integer number (8938711782).

Almost surely, 2211100011020 is an apocalyptic number.

211100011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100011020 is an abundant number, since it is smaller than the sum of its proper divisors (432487237284).

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

211100011020 is a wasteful number, since it uses less digits than its factorization.

211100011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953399 (or 5953394 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211100011020 its reverse (20110001112), we get a palindrome (231210012132).

The spelling of 211100011020 in words is "two hundred eleven billion, one hundred million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 17730 35460 5953187 11906374 17859561 23812748 29765935 35719122 53578683 59531870 71438244 89297805 107157366 119063740 178595610 214314732 267893415 357191220 535786830 1071573660 1172777839 2345555678 3518333517 4691111356 5863889195 7036667034 10555000551 11727778390 14073334068 17591667585 21110001102 23455556780 35183335170 42220002204 52775002755 70366670340 105550005510 211100011020