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12131003330010 = 2345471132819911
BaseRepresentation
bin1011000010000111100000…
…1001001110110111011010
31120221201020110221210110000
42300201320021032313122
53042223243323030020
641444523410033430
72361302366650155
oct260417011166732
946851213853400
1012131003330010
113957803141694
12143b0a0578876
1369cc443c91c6
142dd202420c9c
1516084ddc2090
hexb087824edda

12131003330010 has 160 divisors (see below), whose sum is σ = 33607756334592. Its totient is φ = 3138086085120.

The previous prime is 12131003329997. The next prime is 12131003330099. The reversal of 12131003330010 is 1003330013121.

It is a happy number.

12131003330010 is a `hidden beast` number, since 1 + 21 + 310 + 0 + 3 + 330 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×121310033300102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2891955 + ... + 5711865.

Almost surely, 212131003330010 is an apocalyptic number.

12131003330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131003330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803878167296).

12131003330010 is an abundant number, since it is smaller than the sum of its proper divisors (21476753004582).

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

12131003330010 is a wasteful number, since it uses less digits than its factorization.

12131003330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820090 (or 2820081 counting only the distinct ones).

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

Adding to 12131003330010 its reverse (1003330013121), we get a palindrome (13134333343131).

The spelling of 12131003330010 in words is "twelve trillion, one hundred thirty-one billion, three million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 113 135 141 162 226 235 270 282 339 405 423 470 565 678 705 810 846 1017 1130 1269 1410 1695 2034 2115 2538 3051 3390 3807 4230 5085 5311 6102 6345 7614 9153 10170 10622 12690 15255 15933 18306 19035 26555 30510 31866 38070 45765 47799 53110 79665 91530 95598 143397 159330 238995 286794 430191 477990 716985 860382 1433970 2150955 2819911 4301910 5639822 8459733 14099555 16919466 25379199 28199110 42298665 50758398 76137597 84597330 126895995 132535817 152275194 228412791 253791990 265071634 318649943 380687985 397607451 456825582 637299886 662679085 761375970 795214902 955949829 1142063955 1192822353 1325358170 1593249715 1911899658 1988037255 2284127910 2385644706 2867849487 3186499430 3578467059 3976074510 4779749145 5735698974 5964111765 7156934118 8603548461 9559498290 10735401177 11928223530 14339247435 14976547321 17207096922 17892335295 21470802354 25810645383 28678494870 29953094642 35784670590 43017742305 44929641963 51621290766 53677005885 74882736605 86035484610 89859283926 107354011770 129053226915 134788925889 149765473210 224648209815 258106453830 269577851778 404366777667 449296419630 673944629445 808733555334 1213100333001 1347889258890 2021833888335 2426200666002 4043667776670 6065501665005 12131003330010