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1332121332114 = 232672775776911
BaseRepresentation
bin10011011000101000100…
…111100110100110010010
311201100102211022012012100
4103120220213212212102
5133311141030111424
62455545035141230
7165146131332066
oct23305047464622
94640384265170
101332121332114
11473a49844461
121962108a4816
1398806b08c31
1448691633aa6
15249b8dcbdc9
hex136289e6992

1332121332114 has 96 divisors (see below), whose sum is σ = 2945437986816. Its totient is φ = 435015567360.

The previous prime is 1332121332107. The next prime is 1332121332119. The reversal of 1332121332114 is 4112331212331.

1332121332114 is a `hidden beast` number, since 1 + 3 + 3 + 212 + 1 + 332 + 114 = 666.

It is not an unprimeable number, because it can be changed into a prime (1332121332119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192750319 + ... + 192757229.

It is an arithmetic number, because the mean of its divisors is an integer number (30681645696).

Almost surely, 21332121332114 is an apocalyptic number.

1332121332114 is an abundant number, since it is smaller than the sum of its proper divisors (1613316654702).

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

1332121332114 is a wasteful number, since it uses less digits than its factorization.

1332121332114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7837 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1332121332114 its reverse (4112331212331), we get a palindrome (5444452544445).

The spelling of 1332121332114 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 67 134 201 277 402 554 577 603 831 1154 1206 1662 1731 2493 3462 4986 5193 6911 10386 13822 18559 20733 37118 38659 41466 55677 62199 77318 111354 115977 124398 159829 167031 231954 319658 334062 347931 463037 479487 695862 926074 958974 1389111 1438461 1914347 2778222 2876922 3828694 3987647 4167333 5743041 7975294 8334666 10708543 11486082 11962941 17229123 21417086 23925882 32125629 34458246 35888823 64251258 71777646 96376887 128261249 192753774 256522498 267172349 384783747 534344698 769567494 801517047 1104578219 1154351241 1603034094 2209156438 2308702482 2404551141 3313734657 4809102282 6627469314 9941203971 19882407942 74006740673 148013481346 222020222019 444040444038 666060666057 1332121332114