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2102022001321 = 1123307104925799
BaseRepresentation
bin11110100101101010010…
…001100101001010101001
321102221200112020111120121
4132211222101211022221
5233414420113020241
64245353334323241
7304603031131114
oct36455221451251
97387615214517
102102022001321
1174050a690460
1229b476ab9521
131232b1c524a8
1473a4a29557b
1539a299c3ad1
hex1e96a4652a9

2102022001321 has 32 divisors (see below), whose sum is σ = 2402991360000. Its totient is φ = 1820083985280.

The previous prime is 2102022001301. The next prime is 2102022001399. The reversal of 2102022001321 is 1231002202012.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2102022001321 is a prime.

It is a super-3 number, since 3×21020220013213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102022001295 and 2102022001304.

It is not an unprimeable number, because it can be changed into a prime (2102022001301) 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, 81463980 + ... + 81489778.

It is an arithmetic number, because the mean of its divisors is an integer number (75093480000).

Almost surely, 22102022001321 is an apocalyptic number.

It is an amenable number.

2102022001321 is a deficient number, since it is larger than the sum of its proper divisors (300969358679).

2102022001321 is a wasteful number, since it uses less digits than its factorization.

2102022001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27189.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2102022001321 its reverse (1231002202012), we get a palindrome (3333024203333).

The spelling of 2102022001321 in words is "two trillion, one hundred two billion, twenty-two million, one thousand, three hundred twenty-one".

Divisors: 1 11 23 253 307 1049 3377 7061 11539 24127 25799 77671 265397 283789 322043 593377 3542473 6527147 7406989 7920293 27063151 81476879 87123223 182166739 297694661 622452473 2003834129 6846977203 8308387357 91392260927 191092909211 2102022001321