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12101302021032 = 2332723430074269
BaseRepresentation
bin1011000000011000110111…
…0011101110101110101000
31120211212120112200222010100
42300012031303232232220
53041231431304133112
641423132243545400
72356201354666500
oct260061563565650
946755515628110
1012101302021032
113946151568644
12143539168b260
1369a1bcb94173
142db9c5928a00
1515ebb15e92dc
hexb018dceeba8

12101302021032 has 72 divisors (see below), whose sum is σ = 38125275511050. Its totient is φ = 3457514862144.

The previous prime is 12101302020887. The next prime is 12101302021033. The reversal of 12101302021032 is 23012020310121.

12101302021032 is a `hidden beast` number, since 121 + 0 + 1 + 302 + 0 + 210 + 32 = 666.

12101302021032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12079976091876 + 21325929156 = 3475626^2 + 146034^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 12101302020996 and 12101302021014.

It is not an unprimeable number, because it can be changed into a prime (12101302021033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1715033607 + ... + 1715040662.

Almost surely, 212101302021032 is an apocalyptic number.

12101302021032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101302021032 is an abundant number, since it is smaller than the sum of its proper divisors (26023973490018).

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

12101302021032 is a wasteful number, since it uses less digits than its factorization.

12101302021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430074295 (or 3430074281 counting only the distinct ones).

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

Adding to 12101302021032 its reverse (23012020310121), we get a palindrome (35113322331153).

The spelling of 12101302021032 in words is "twelve trillion, one hundred one billion, three hundred two million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3430074269 6860148538 10290222807 13720297076 20580445614 24010519883 27440594152 30870668421 41160891228 48021039766 61741336842 72031559649 82321782456 96042079532 123482673684 144063119298 168073639181 192084159064 216094678947 246965347368 288126238596 336147278362 432189357894 504220917543 576252477192 672294556724 864378715788 1008441835086 1344589113448 1512662752629 1728757431576 2016883670172 3025325505258 4033767340344 6050651010516 12101302021032