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211222101020 = 22573674110979
BaseRepresentation
bin1100010010110111010…
…0010111110000011100
3202012012102122111001112
43010231310113300130
511430040324213040
6241011210401152
721155165143460
oct3045564276034
9665172574045
10211222101020
1181640407857
1234b29a301b8
1316bc226b638
14a31a6884a0
155763786365
hex312dd17c1c

211222101020 has 48 divisors (see below), whose sum is σ = 508314455040. Its totient is φ = 72221661504.

The previous prime is 211222101019. The next prime is 211222101043. The reversal of 211222101020 is 20101222112.

211222101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112221010202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 211222100986 and 211222101004.

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, 2004110 + ... + 2106869.

It is an arithmetic number, because the mean of its divisors is an integer number (10589884480).

Almost surely, 2211222101020 is an apocalyptic number.

211222101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222101020 is an abundant number, since it is smaller than the sum of its proper divisors (297092354020).

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

211222101020 is a wasteful number, since it uses less digits than its factorization.

211222101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111362 (or 4111360 counting only the distinct ones).

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

Adding to 211222101020 its reverse (20101222112), we get a palindrome (231323323132).

The spelling of 211222101020 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 367 734 1468 1835 2569 3670 5138 7340 10276 12845 25690 51380 4110979 8221958 16443916 20554895 28776853 41109790 57553706 82219580 115107412 143884265 287768530 575537060 1508729293 3017458586 6034917172 7543646465 10561105051 15087292930 21122210102 30174585860 42244420204 52805525255 105611050510 211222101020