Search a number
-
+
1332123303132 = 2233231256942667
BaseRepresentation
bin10011011000101000101…
…111000111110011011100
311201100102222000022221000
4103120220233013303130
5133311142031200012
62455545145310300
7165146154151356
oct23305057076334
94640388008830
101332123303132
11473a4a9702a6
12196211495390
139880734910b
14486919c80d6
15249b916addc
hex13628bc7cdc

1332123303132 has 96 divisors (see below), whose sum is σ = 3604183027200. Its totient is φ = 424691220096.

The previous prime is 1332123303127. The next prime is 1332123303209. The reversal of 1332123303132 is 2313033212331.

1332123303132 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 12 + 330 + 313 + 2 = 666.

It is a super-2 number, since 2×13321233031322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332123303096 and 1332123303105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31200063 + ... + 31242729.

It is an arithmetic number, because the mean of its divisors is an integer number (37543573200).

Almost surely, 21332123303132 is an apocalyptic number.

1332123303132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1332123303132 is an abundant number, since it is smaller than the sum of its proper divisors (2272059724068).

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

1332123303132 is a wasteful number, since it uses less digits than its factorization.

1332123303132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55272 (or 55264 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1332123303132 its reverse (2313033212331), we get a palindrome (3645156515463).

The spelling of 1332123303132 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-three million, three hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 12569 25138 37707 42667 50276 75414 85334 113121 128001 150828 170668 226242 256002 289087 339363 384003 452484 512004 578174 678726 768006 867261 981341 1152009 1156348 1357452 1536012 1734522 1962682 2304018 2601783 2944023 3469044 3925364 4608036 5203566 5888046 7805349 8832069 10407132 11776092 15610698 17664138 26496207 31221396 35328276 52992414 105984828 536281523 1072563046 1608844569 2145126092 3217689138 4826533707 6435378276 9653067414 12334475029 14479601121 19306134828 24668950058 28959202242 37003425087 49337900116 57918404484 74006850174 111010275261 148013700348 222020550522 333030825783 444041101044 666061651566 1332123303132