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13210431240 = 23354115111777
BaseRepresentation
bin11000100110110011…
…10010111100001000
31021002122202102212010
430103121302330020
5204023332244430
610022505215520
7645236545536
oct142331627410
937078672763
1013210431240
115669a42576
1226881915a0
131326b6bc26
148d46a5156
15524b6bcb0
hex313672f08

13210431240 has 128 divisors (see below), whose sum is σ = 40647640320. Its totient is φ = 3432652800.

The previous prime is 13210431209. The next prime is 13210431257. The reversal of 13210431240 is 4213401231.

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, 7433232 + ... + 7435008.

It is an arithmetic number, because the mean of its divisors is an integer number (317559690).

Almost surely, 213210431240 is an apocalyptic number.

13210431240 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 13210431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20323820160).

13210431240 is an abundant number, since it is smaller than the sum of its proper divisors (27437209080).

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

13210431240 is a wasteful number, since it uses less digits than its factorization.

13210431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13210431240 its reverse (4213401231), we get a palindrome (17423832471).

The spelling of 13210431240 in words is "thirteen billion, two hundred ten million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1511 1640 1777 2460 3022 3554 4533 4920 5331 6044 7108 7555 8885 9066 10662 12088 14216 15110 17770 18132 21324 22665 26655 30220 35540 36264 42648 45330 53310 60440 61951 71080 72857 90660 106620 123902 145714 181320 185853 213240 218571 247804 291428 309755 364285 371706 437142 495608 582856 619510 728570 743412 874284 929265 1092855 1239020 1457140 1486824 1748568 1858530 2185710 2478040 2685047 2914280 3717060 4371420 5370094 7434120 8055141 8742840 10740188 13425235 16110282 21480376 26850470 32220564 40275705 53700940 64441128 80551410 107401880 110086927 161102820 220173854 322205640 330260781 440347708 550434635 660521562 880695416 1100869270 1321043124 1651303905 2201738540 2642086248 3302607810 4403477080 6605215620 13210431240