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1321211320 = 2351113317451
BaseRepresentation
bin100111011000000…
…0001010110111000
310102002002111012121
41032300001112320
510201212230240
6335034051024
744512053022
oct11660012670
93362074177
101321211320
11618875690
1230a579a74
13180953860
14c7683012
157aed004a
hex4ec015b8

1321211320 has 128 divisors (see below), whose sum is σ = 3605575680. Its totient is φ = 429120000.

The previous prime is 1321211317. The next prime is 1321211329. The reversal of 1321211320 is 231121231.

It is a super-2 number, since 2×13212113202 = 3491198704192284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321211294 and 1321211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321211329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173595 + ... + 181045.

It is an arithmetic number, because the mean of its divisors is an integer number (28168560).

Almost surely, 21321211320 is an apocalyptic number.

1321211320 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 1321211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802787840).

1321211320 is an abundant number, since it is smaller than the sum of its proper divisors (2284364360).

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

1321211320 is a wasteful number, since it uses less digits than its factorization.

1321211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1321211320 is about 36348.4706693418. The cubic root of 1321211320 is about 1097.2967561747.

Adding to 1321211320 its reverse (231121231), we get a palindrome (1552332551).

The spelling of 1321211320 in words is "one billion, three hundred twenty-one million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 806 1144 1240 1364 1430 1612 1705 2015 2728 2860 3224 3410 4030 4433 5720 6820 7451 8060 8866 13640 14902 16120 17732 22165 29804 35464 37255 44330 59608 74510 81961 88660 96863 149020 163922 177320 193726 230981 298040 327844 387452 409805 461962 484315 655688 774904 819610 923924 968630 1065493 1154905 1639220 1847848 1937260 2130986 2309810 2540791 3002753 3278440 3874520 4261972 4619620 5081582 5327465 6005506 8523944 9239240 10163164 10654930 12011012 12703955 15013765 20326328 21309860 24022024 25407910 30027530 33030283 42619720 50815820 60055060 66060566 101631640 120110120 132121132 165151415 264242264 330302830 660605660 1321211320