Search a number
-
+
13000012121232 = 2433157540735449
BaseRepresentation
bin1011110100101100110100…
…0110101100010010010000
31201000210022012022100111000
42331023031012230102100
53200443011100334412
643352042332222000
72511135263544303
oct275131506542220
951023265270430
1013000012121232
114162301a29644
12155b5a590a900
13733b85340646
1432d2bd89cb3a
1517826077d4dc
hexbd2cd1ac490

13000012121232 has 160 divisors (see below), whose sum is σ = 37560528512000. Its totient is φ = 4304818732032.

The previous prime is 13000012121197. The next prime is 13000012121249. The reversal of 13000012121232 is 23212121000031.

13000012121232 is a `hidden beast` number, since 1 + 300 + 0 + 0 + 12 + 121 + 232 = 666.

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 31 ways as a sum of consecutive naturals, for example, 366706644 + ... + 366742092.

It is an arithmetic number, because the mean of its divisors is an integer number (234753303200).

Almost surely, 213000012121232 is an apocalyptic number.

13000012121232 is a gapful number since it is divisible by the number (12) 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 13000012121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780264256000).

13000012121232 is an abundant number, since it is smaller than the sum of its proper divisors (24560516390768).

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

13000012121232 is a wasteful number, since it uses less digits than its factorization.

13000012121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41030 (or 41018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13000012121232 its reverse (23212121000031), we get a palindrome (36212133121263).

The spelling of 13000012121232 in words is "thirteen trillion, twelve million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3768 4239 5407 5652 7536 8478 10814 11304 16221 16956 21628 22608 32442 33912 35449 43256 48663 64884 67824 70898 86512 97326 106347 129768 141796 145989 194652 212694 259536 283592 291978 319041 389304 425388 567184 583956 638082 778608 848899 850776 957123 1167912 1276164 1697798 1701552 1914246 2335824 2546697 2552328 3395596 3828492 5093394 5104656 5565493 6791192 7640091 7656984 10186788 11130986 13582384 15280182 15313968 16696479 20373576 22261972 22920273 30560364 33392958 40747152 44523944 45840546 50089437 61120728 66785916 89047888 91681092 100178874 122241456 133571832 150268311 183362184 191672743 200357748 267143664 300536622 366724368 383345486 400715496 575018229 601073244 766690972 801430992 1150036458 1202146488 1533381944 1725054687 2300072916 2404292976 3066763888 3450109374 4600145832 5175164061 6900218748 9200291664 10350328122 13800437496 20700656244 27600874992 30092620651 41401312488 60185241302 82802624976 90277861953 120370482604 180555723906 240740965208 270833585859 361111447812 481481930416 541667171718 722222895624 812500757577 1083334343436 1444445791248 1625001515154 2166668686872 3250003030308 4333337373744 6500006060616 13000012121232