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1331300101032 = 2332118677193723
BaseRepresentation
bin10011010111110111101…
…010110110101110101000
311201021022121000022221100
4103113313222312232220
5133303000311213112
62455331341241400
7165116600101266
oct23276752665650
94637277008840
101331300101032
11473668222390
12196021863260
1398705931495
144861453d436
152496bc5e2dc
hex135f7ab6ba8

1331300101032 has 96 divisors (see below), whose sum is σ = 3933860280480. Its totient is φ = 403375697280.

The previous prime is 1331300101009. The next prime is 1331300101063. The reversal of 1331300101032 is 2301010031331.

It is a happy number.

1331300101032 is a `hidden beast` number, since 1 + 331 + 300 + 1 + 0 + 1 + 0 + 32 = 666.

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 = 1331300100996 and 1331300101014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6775323 + ... + 6969045.

It is an arithmetic number, because the mean of its divisors is an integer number (40977711255).

Almost surely, 21331300101032 is an apocalyptic number.

1331300101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331300101032 is an abundant number, since it is smaller than the sum of its proper divisors (2602560179448).

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

1331300101032 is a wasteful number, since it uses less digits than its factorization.

1331300101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202423 (or 202416 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1331300101032 its reverse (2301010031331), we get a palindrome (3632310132363).

The spelling of 1331300101032 in words is "one trillion, three hundred thirty-one billion, three hundred million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 8677 17354 26031 34708 52062 69416 78093 95447 104124 156186 190894 193723 208248 286341 312372 381788 387446 572682 581169 624744 763576 774892 859023 1145364 1162338 1549784 1718046 1743507 2130953 2290728 2324676 3436092 3487014 4261906 4649352 6392859 6872184 6974028 8523812 12785718 13948056 17047624 19178577 25571436 38357154 51142872 76714308 153428616 1680934471 3361868942 5042803413 6723737884 10085606826 13447475768 15128410239 18490279181 20171213652 30256820478 36980558362 40342427304 55470837543 60513640956 73961116724 110941675086 121027281912 147922233448 166412512629 221883350172 332825025258 443766700344 665650050516 1331300101032