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211102201200020 = 225132633093199809
BaseRepresentation
bin101111111111111100001111…
…101101101011110110010100
31000200110011200100212121220012
4233333330033231223312110
5210132144302001400040
62024551002403255352
762315426224414334
oct5777741755536624
91020404610777805
10211102201200020
1161299a39177529
121b81503007a558
1390a3b10254290
143a1b5886cb0c4
1519613bcd3a865
hexbfff0fb6bd94

211102201200020 has 96 divisors (see below), whose sum is σ = 479251311517440. Its totient is φ = 77645769338880.

The previous prime is 211102201200001. The next prime is 211102201200029. The reversal of 211102201200020 is 20002102201112.

It is a junction number, because it is equal to n+sod(n) for n = 211102201199968 and 211102201200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211102201200029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115011876 + ... + 2115111684.

It is an arithmetic number, because the mean of its divisors is an integer number (4992201161640).

Almost surely, 2211102201200020 is an apocalyptic number.

211102201200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211102201200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239625655758720).

211102201200020 is an abundant number, since it is smaller than the sum of its proper divisors (268149110317420).

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

211102201200020 is a wasteful number, since it uses less digits than its factorization.

211102201200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131025 (or 131023 counting only the distinct ones).

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

Adding to 211102201200020 its reverse (20002102201112), we get a palindrome (231104303401132).

The spelling of 211102201200020 in words is "two hundred eleven trillion, one hundred two billion, two hundred one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 526 1052 1315 2630 3419 5260 6838 13676 17095 30931 34190 61862 68380 99809 123724 154655 199618 309310 399236 402103 499045 618620 804206 998090 1297517 1608412 1996180 2010515 2595034 4021030 5190068 6487585 8042060 8134853 12975170 16269706 25950340 26249767 32539412 40674265 52499534 81348530 104999068 105753089 131248835 162697060 211506178 262497670 341246971 423012356 524995340 528765445 682493942 1057530890 1364987884 1706234855 2115061780 3087192179 3412469710 6174384358 6824939420 12348768716 15435960895 30871921790 40133498327 61743843580 80266996654 160533993308 200667491635 401334983270 802669966540 811931543077 1623863086154 3247726172308 4059657715385 8119315430770 10555110060001 16238630861540 21110220120002 42220440240004 52775550300005 105551100600010 211102201200020