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211102100022 = 231131339130427
BaseRepresentation
bin1100010010011010101…
…0100110101000110110
3202011220001211210122010
43010212222212220312
511424314114200042
6240551242345050
721152210146362
oct3044652465066
9664801753563
10211102100022
11815896a5280
1234ab57bb186
1316ba3444128
14a30876c2a2
155757e8059c
hex3126aa6a36

211102100022 has 64 divisors (see below), whose sum is σ = 475599863808. Its totient is φ = 61886484000.

The previous prime is 211102100003. The next prime is 211102100063. The reversal of 211102100022 is 220001201112.

211102100022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211102099980 and 211102100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6922773 + ... + 6953199.

It is an arithmetic number, because the mean of its divisors is an integer number (7431247872).

Almost surely, 2211102100022 is an apocalyptic number.

211102100022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237799931904).

211102100022 is an abundant number, since it is smaller than the sum of its proper divisors (264497763786).

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

211102100022 is a wasteful number, since it uses less digits than its factorization.

211102100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33865.

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

Adding to 211102100022 its reverse (220001201112), we get a palindrome (431103301134).

The spelling of 211102100022 in words is "two hundred eleven billion, one hundred two million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 3391 6782 10173 20346 30427 37301 60854 74602 91281 105121 111903 182562 210242 223806 315363 334697 630726 669394 943237 1004091 1156331 1886474 2008182 2312662 2829711 3468993 5659422 6937986 10375607 20751214 31126821 62253642 103177957 206355914 309533871 619067742 1134957527 2269915054 3198516667 3404872581 6397033334 6809745162 9595550001 19191100002 35183683337 70367366674 105551050011 211102100022