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10133231303340 = 223253111171162563
BaseRepresentation
bin1001001101110101001110…
…1001101111101010101100
31022212201122022102201022200
42103131103221233222230
52312010324203201330
633315050414141500
72064046626626145
oct223352351575254
938781568381280
1010133231303340
11325752a997182
121177a7a7b1890
1358673760bb62
14270645810acc
151288c67d9a60
hex93753a6faac

10133231303340 has 144 divisors (see below), whose sum is σ = 31732035019776. Its totient is φ = 2614777257600.

The previous prime is 10133231303339. The next prime is 10133231303401. The reversal of 10133231303340 is 4330313233101.

10133231303340 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 2 + 313 + 0 + 3 + 340 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62252899 + ... + 62415461.

It is an arithmetic number, because the mean of its divisors is an integer number (220361354304).

Almost surely, 210133231303340 is an apocalyptic number.

10133231303340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133231303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866017509888).

10133231303340 is an abundant number, since it is smaller than the sum of its proper divisors (21598803716436).

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

10133231303340 is a wasteful number, since it uses less digits than its factorization.

10133231303340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173780 (or 173775 counting only the distinct ones).

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

Adding to 10133231303340 its reverse (4330313233101), we get a palindrome (14463544536441).

The spelling of 10133231303340 in words is "ten trillion, one hundred thirty-three billion, two hundred thirty-one million, three hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 11171 22342 33513 44684 55855 67026 100539 111710 134052 162563 167565 201078 223420 325126 335130 346301 402156 487689 502695 650252 670260 692602 812815 975378 1005390 1038903 1385204 1463067 1625630 1731505 1950756 2010780 2077806 2438445 2926134 3116709 3251260 3463010 4155612 4876890 5039453 5194515 5852268 6233418 6926020 7315335 9753780 10078906 10389030 12466836 14630670 15118359 15583545 20157812 20778060 25197265 29261340 30236718 31167090 45355077 50394530 60473436 62334180 75591795 90710154 100789060 151183590 181420308 226775385 302367180 453550770 907101540 1815991273 3631982546 5447973819 7263965092 9079956365 10895947638 16343921457 18159912730 21791895276 27239869095 32687842914 36319825460 54479738190 56295729463 65375685828 81719607285 108959476380 112591458926 163439214570 168887188389 225182917852 281478647315 326878429140 337774376778 506661565167 562957294630 675548753556 844435941945 1013323130334 1125914589260 1688871883890 2026646260668 2533307825835 3377743767780 5066615651670 10133231303340