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1321223301040 = 245431793376367
BaseRepresentation
bin10011001110011111000…
…010111010011110110000
311200022022022201212000211
4103032133002322132300
5133121331131113130
62450543412353504
7164312100521536
oct23163702723660
94608268655024
101321223301040
1146a367122405
1219408b015894
139778b064336
1447d3a108156
152457c280a2a
hex1339f0ba7b0

1321223301040 has 160 divisors (see below), whose sum is σ = 3170719918080. Its totient is φ = 511711506432.

The previous prime is 1321223301023. The next prime is 1321223301043. The reversal of 1321223301040 is 401033221231.

It is a super-2 number, since 2×13212233010402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321223301043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207507937 + ... + 207514303.

It is an arithmetic number, because the mean of its divisors is an integer number (19816999488).

Almost surely, 21321223301040 is an apocalyptic number.

1321223301040 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 1321223301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585359959040).

1321223301040 is an abundant number, since it is smaller than the sum of its proper divisors (1849496617040).

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

1321223301040 is a wasteful number, since it uses less digits than its factorization.

1321223301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1321223301040 its reverse (401033221231), we get a palindrome (1722256522271).

The spelling of 1321223301040 in words is "one trillion, three hundred twenty-one billion, two hundred twenty-three million, three hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 179 215 337 344 358 430 674 688 716 860 895 1348 1432 1685 1720 1790 2696 2864 3370 3440 3580 5392 6367 6740 7160 7697 12734 13480 14320 14491 15394 25468 26960 28982 30788 31835 38485 50936 57964 60323 61576 63670 72455 76970 101872 115928 120646 123152 127340 144910 153940 231856 241292 254680 273781 289820 301615 307880 482584 509360 547562 579640 603230 615760 965168 1095124 1139693 1159280 1206460 1368905 2145679 2190248 2279386 2412920 2593889 2737810 4291358 4380496 4558772 4825840 5187778 5475620 5698465 8582716 9117544 10375556 10728395 10951240 11396930 12969445 17165432 18235088 20751112 21456790 21902480 22793860 25938890 34330864 41502224 42913580 45587720 49006799 51877780 85827160 91175440 92264197 98013598 103755560 171654320 184528394 196027196 207511120 245033995 369056788 384076541 392054392 461320985 490067990 738113576 768153082 784108784 922641970 980135980 1476227152 1536306164 1845283940 1920382705 1960271960 3072612328 3690567880 3840765410 3920543920 6145224656 7381135760 7681530820 15363061640 16515291263 30726123280 33030582526 66061165052 82576456315 132122330104 165152912630 264244660208 330305825260 660611650520 1321223301040