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13331000000232 = 23323133118044321
BaseRepresentation
bin1100000111111101110110…
…0001001111111011101000
31202012102122022101201211100
43001333131201033323220
53221403342000001412
644204102111201400
72544063415234335
oct301773541177350
952172568351740
1013331000000232
11427a710a63aa2
1215b3778b16260
137591530b9415
1434131c31d98c
15181b83650edc
hexc1fdd84fee8

13331000000232 has 96 divisors (see below), whose sum is σ = 37382061000960. Its totient is φ = 4287330432000.

The previous prime is 13331000000141. The next prime is 13331000000257. The reversal of 13331000000232 is 23200000013331.

13331000000232 is a `hidden beast` number, since 1 + 333 + 100 + 0 + 0 + 0 + 0 + 232 = 666.

It is a super-2 number, since 2×133310000002322 (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 23 ways as a sum of consecutive naturals, for example, 8283369 + ... + 9760952.

It is an arithmetic number, because the mean of its divisors is an integer number (389396468760).

Almost surely, 213331000000232 is an apocalyptic number.

13331000000232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331000000232 is an abundant number, since it is smaller than the sum of its proper divisors (24051061000728).

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

13331000000232 is a wasteful number, since it uses less digits than its factorization.

13331000000232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18044695 (or 18044688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13331000000232 its reverse (23200000013331), we get a palindrome (36531000013563).

The spelling of 13331000000232 in words is "thirteen trillion, three hundred thirty-one billion, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 331 372 558 662 744 993 1116 1324 1986 2232 2648 2979 3972 5958 7944 10261 11916 20522 23832 30783 41044 61566 82088 92349 123132 184698 246264 369396 738792 18044321 36088642 54132963 72177284 108265926 144354568 162398889 216531852 324797778 433063704 559373951 649595556 1118747902 1299191112 1678121853 2237495804 3356243706 4474991608 5034365559 5972670251 6712487412 10068731118 11945340502 13424974824 17918010753 20137462236 23890681004 35836021506 40274924472 47781362008 53754032259 71672043012 107508064518 143344086024 185152777781 215016129036 370305555562 430032258072 555458333343 740611111124 1110916666686 1481222222248 1666375000029 2221833333372 3332750000058 4443666666744 6665500000116 13331000000232