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13321231140 = 22357219922769
BaseRepresentation
bin11000110100000000…
…11101101100100100
31021101101020122202010
430122000131230210
5204240213344030
610041504114220
7651053411400
oct143200355444
937341218663
1013321231140
115716540138
1226b9305970
131343ac43b9
149052a8100
1552e7566b0
hex31a01db24

13321231140 has 144 divisors (see below), whose sum is σ = 43609104000. Its totient is φ = 3029419008.

The previous prime is 13321231129. The next prime is 13321231177. The reversal of 13321231140 is 4113212331.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 573676 + ... + 596444.

It is an arithmetic number, because the mean of its divisors is an integer number (302841000).

Almost surely, 213321231140 is an apocalyptic number.

13321231140 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 13321231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21804552000).

13321231140 is an abundant number, since it is smaller than the sum of its proper divisors (30287872860).

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

13321231140 is a wasteful number, since it uses less digits than its factorization.

13321231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22994 (or 22985 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13321231140 its reverse (4113212331), we get a palindrome (17434443471).

The spelling of 13321231140 in words is "thirteen billion, three hundred twenty-one million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 199 210 245 294 398 420 490 588 597 735 796 980 995 1194 1393 1470 1990 2388 2786 2940 2985 3980 4179 5572 5970 6965 8358 9751 11940 13930 16716 19502 20895 22769 27860 29253 39004 41790 45538 48755 58506 68307 83580 91076 97510 113845 117012 136614 146265 159383 195020 227690 273228 292530 318766 341535 455380 478149 585060 637532 683070 796915 956298 1115681 1366140 1593830 1912596 2231362 2390745 3187660 3347043 4462724 4531031 4781490 5578405 6694086 9062062 9562980 11156810 13388172 13593093 16735215 18124124 22313620 22655155 27186186 31717217 33470430 45310310 54372372 63434434 66940860 67965465 90620620 95151651 126868868 135930930 158586085 190303302 222020519 271861860 317172170 380606604 444041038 475758255 634344340 666061557 888082076 951516510 1110102595 1332123114 1903033020 2220205190 2664246228 3330307785 4440410380 6660615570 13321231140