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12101001023322 = 234337221654413
BaseRepresentation
bin1011000000010111101111…
…0111100000111101011010
31120211211210120022200220000
42300011323313200331122
53041230322230221242
641423042332313430
72356161041363241
oct260057367407532
946754716280800
1012101001023322
113946007672602
121435308912876
1369a172707203
142db997975958
1515eb94e8ea4c
hexb017bde0f5a

12101001023322 has 40 divisors (see below), whose sum is σ = 27195666671316. Its totient is φ = 4021697651328.

The previous prime is 12101001023299. The next prime is 12101001023333. The reversal of 12101001023322 is 22332010010121.

12101001023322 is a `hidden beast` number, since 1 + 210 + 100 + 10 + 23 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11207959013241 + 893042010081 = 3347829^2 + 945009^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12101001023295 and 12101001023304.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110772613 + ... + 110881800.

Almost surely, 212101001023322 is an apocalyptic number.

12101001023322 is an abundant number, since it is smaller than the sum of its proper divisors (15094665647994).

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

12101001023322 is a wasteful number, since it uses less digits than its factorization.

12101001023322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221654764 (or 221654755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12101001023322 its reverse (22332010010121), we get a palindrome (34433011033443).

The spelling of 12101001023322 in words is "twelve trillion, one hundred one billion, one million, twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 337 674 1011 2022 3033 6066 9099 18198 27297 54594 221654413 443308826 664963239 1329926478 1994889717 3989779434 5984669151 11969338302 17954007453 35908014906 74697537181 149395074362 224092611543 448185223086 672277834629 1344555669258 2016833503887 4033667007774 6050500511661 12101001023322