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1301321122320 = 243531307956807
BaseRepresentation
bin10010111011111100110…
…010001000001000010000
311121101221022021102100110
4102323330302020020100
5132310101201403240
62433452455521320
7163005644014062
oct22737462101020
94541838242313
101301321122320
11461983936a1a
12190255989240
1395938a1961b
1446dacc07732
1523cb4dd8c80
hex12efcc88210

1301321122320 has 160 divisors (see below), whose sum is σ = 4165653381120. Its totient is φ = 335709826560.

The previous prime is 1301321122307. The next prime is 1301321122349. The reversal of 1301321122320 is 232211231031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22879357 + ... + 22936163.

It is an arithmetic number, because the mean of its divisors is an integer number (26035333632).

Almost surely, 21301321122320 is an apocalyptic number.

1301321122320 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 1301321122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082826690560).

1301321122320 is an abundant number, since it is smaller than the sum of its proper divisors (2864332258800).

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

1301321122320 is a wasteful number, since it uses less digits than its factorization.

1301321122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59933 (or 59927 counting only the distinct ones).

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

Adding to 1301321122320 its reverse (232211231031), we get a palindrome (1533532353351).

The spelling of 1301321122320 in words is "one trillion, three hundred one billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3079 3720 6158 7440 9237 12316 15395 18474 24632 30790 36948 46185 49264 56807 61580 73896 92370 95449 113614 123160 147792 170421 184740 190898 227228 246320 284035 286347 340842 369480 381796 454456 477245 568070 572694 681684 738960 763592 852105 908912 954490 1136140 1145388 1363368 1431735 1527184 1704210 1761017 1908980 2272280 2290776 2726736 2863470 3408420 3522034 3817960 4544560 4581552 5283051 5726940 6816840 7044068 7635920 8805085 10566102 11453880 13633680 14088136 17610170 21132204 22907760 26415255 28176272 35220340 42264408 52830510 70440680 84528816 105661020 140881360 174908753 211322040 349817506 422644080 524726259 699635012 874543765 1049452518 1399270024 1749087530 2098905036 2623631295 2798540048 3498175060 4197810072 5247262590 5422171343 6996350120 8395620144 10494525180 10844342686 13992700240 16266514029 20989050360 21688685372 27110856715 32533028058 41978100720 43377370744 54221713430 65066056116 81332570145 86754741488 108443426860 130132112232 162665140290 216886853720 260264224464 325330280580 433773707440 650660561160 1301321122320