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1332121112322 = 2371113375994551
BaseRepresentation
bin10011011000101000100…
…110110000111100000010
311201100102210220000200220
4103120220212300330002
5133311141001043242
62455545030323510
7165146126425230
oct23305046607402
94640383800626
101332121112322
11473a49704310
121962107b9596
1398806a5cb90
14486915b7950
15249b8d86bec
hex136289b0f02

1332121112322 has 128 divisors (see below), whose sum is σ = 3673845116928. Its totient is φ = 310757472000.

The previous prime is 1332121112303. The next prime is 1332121112323. The reversal of 1332121112322 is 2232111212331.

It is a super-3 number, since 3×13321211123223 (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1332121112292 and 1332121112301.

It is not an unprimeable number, because it can be changed into a prime (1332121112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775054 + ... + 3219497.

It is an arithmetic number, because the mean of its divisors is an integer number (28701914976).

Almost surely, 21332121112322 is an apocalyptic number.

1332121112322 is an abundant number, since it is smaller than the sum of its proper divisors (2341724004606).

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

1332121112322 is a wasteful number, since it uses less digits than its factorization.

1332121112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994624.

The product of its digits is 864, while the sum is 24.

Adding to 1332121112322 its reverse (2232111212331), we get a palindrome (3564232324653).

The spelling of 1332121112322 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-one million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 5994551 11989102 17983653 35967306 41961857 65940061 77929163 83923714 125885571 131880122 155858326 197820183 221798387 233787489 251771142 395640366 443596774 461580427 467574978 545504141 665395161 857220793 923160854 1091008282 1330790322 1384741281 1552588709 1636512423 1714441586 2439782257 2571662379 2769482562 2883379031 3105177418 3273024846 4657766127 4879564514 5143324758 5766758062 6000545551 7319346771 8650137093 9315532254 12001091102 14638693542 17078475799 17300274186 18001636653 20183653217 31717169341 34156951598 36003273306 40367306434 51235427397 60550959651 63434338682 95151508023 102470854794 121101919302 190303016046 222020185387 444040370774 666060556161 1332121112322