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211211021201000 = 23531326311592471
BaseRepresentation
bin110000000001100001100101…
…111001000010111001101000
31000200211120120012220102220212
4300001201211321002321220
5210140440132411413000
62025113000441440252
762326331000231402
oct6001414571027150
91020746505812825
10211211021201000
1161331100231937
121b83213b7a0088
1390b11631406c2
143a2294cca9b72
15196413b548c35
hexc01865e42e68

211211021201000 has 64 divisors (see below), whose sum is σ = 494237826351360. Its totient is φ = 84483718440000.

The previous prime is 211211021200961. The next prime is 211211021201003. The reversal of 211211021201000 is 102120112112.

It is a super-2 number, since 2×2112110212010002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211021201003) by changing a digit.

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, 131834765 + ... + 133427235.

It is an arithmetic number, because the mean of its divisors is an integer number (7722466036740).

Almost surely, 2211211021201000 is an apocalyptic number.

211211021201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211021201000 is an abundant number, since it is smaller than the sum of its proper divisors (283026805150360).

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

211211021201000 is a wasteful number, since it uses less digits than its factorization.

211211021201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725123 (or 1725109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211021201000 its reverse (102120112112), we get a palindrome (211313141313112).

The spelling of 211211021201000 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 132631 265262 530524 663155 1061048 1326310 1592471 2652620 3184942 3315775 5305240 6369884 6631550 7962355 12739768 13263100 15924710 16578875 26526200 31849420 33157750 39811775 63698840 66315500 79623550 132631000 159247100 199058875 318494200 398117750 796235500 1592471000 211211021201 422422042402 844844084804 1056055106005 1689688169608 2112110212010 4224220424020 5280275530025 8448440848040 10560551060050 21121102120100 26401377650125 42242204240200 52802755300250 105605510600500 211211021201000