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331322121031032 = 233329189149279637
BaseRepresentation
bin100101101010101011111000…
…1010101001000110101111000
31121110010002022021121121102000
41023111113301111020311320
5321411340200440443112
63132355140421341000
7126534143011413555
oct11325276125106570
91543102267547360
10331322121031032
1196629a1685479a
12311b0543b67760
13112b4707888771
145bb610d215a2c
1528486ae5e77dc
hex12d55f1548d78

331322121031032 has 128 divisors (see below), whose sum is σ = 952083498600000. Its totient is φ = 106631461698048.

The previous prime is 331322121031021. The next prime is 331322121031049. The reversal of 331322121031032 is 230130121223133.

331322121031032 is a `hidden beast` number, since 3 + 3 + 1 + 322 + 1 + 21 + 0 + 310 + 3 + 2 = 666.

It is a super-3 number, since 3×3313221210310323 (a number of 45 digits) contains 333 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 = 331322121030987 and 331322121031005.

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, 1184689518 + ... + 1184969154.

Almost surely, 2331322121031032 is an apocalyptic number.

It is an amenable number.

331322121031032 is an abundant number, since it is smaller than the sum of its proper divisors (620761377568968).

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

331322121031032 is a wasteful number, since it uses less digits than its factorization.

331322121031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468830 (or 468820 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331322121031032 its reverse (230130121223133), we get a palindrome (561452242254165).

The spelling of 331322121031032 in words is "three hundred thirty-one trillion, three hundred twenty-two billion, one hundred twenty-one million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 189149 279637 378298 559274 567447 756596 838911 1118548 1134894 1513192 1677822 1702341 2237096 2269788 2516733 3355644 3404682 4539576 5033466 5107023 5485321 6711288 6809364 7550199 8109473 10066932 10214046 10970642 13618728 15100398 16218946 16455963 20133864 20428092 21941284 24328419 30200796 32437892 32911926 40856184 43882568 48656838 49367889 60401592 64875784 65823852 72985257 97313676 98735778 131647704 145970514 148103667 194627352 197471556 218955771 291941028 296207334 394943112 437911542 583882056 592414668 875823084 1184829336 1751646168 52893058913 105786117826 158679176739 211572235652 317358353478 423144471304 476037530217 634716706956 952075060434 1269433413912 1428112590651 1533898708477 1904150120868 2856225181302 3067797416954 3808300241736 4601696125431 5712450362604 6135594833908 9203392250862 11424900725208 12271189667816 13805088376293 18406784501724 27610176752586 36813569003448 41415265128879 55220353505172 82830530257758 110440707010344 165661060515516 331322121031032