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1321451320 = 235741591951
BaseRepresentation
bin100111011000011…
…1011111100111000
310102002112200102111
41032300323330320
510201242420240
6335043142104
744514102520
oct11660737470
93362480374
101321451320
11618a19a32
1230a674934
13180a08b77
14c7706680
157b02b1ea
hex4ec3bf38

1321451320 has 128 divisors (see below), whose sum is σ = 3541708800. Its totient is φ = 434304000.

The previous prime is 1321451317. The next prime is 1321451347. The reversal of 1321451320 is 231541231.

It is a happy number.

It is a super-2 number, since 2×13214513202 = 3492467182259484800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321451291 and 1321451300.

It is a congruent number.

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, 676345 + ... + 678295.

It is an arithmetic number, because the mean of its divisors is an integer number (27669600).

Almost surely, 21321451320 is an apocalyptic number.

1321451320 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 1321451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770854400).

1321451320 is an abundant number, since it is smaller than the sum of its proper divisors (2220257480).

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

1321451320 is a wasteful number, since it uses less digits than its factorization.

1321451320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1321451320 is about 36351.7718962914. The cubic root of 1321451320 is about 1097.3631940143.

Adding to 1321451320 its reverse (231541231), we get a palindrome (1552992551).

The spelling of 1321451320 in words is "one billion, three hundred twenty-one million, four hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 59 70 82 118 140 164 205 236 280 287 295 328 410 413 472 574 590 820 826 1148 1180 1435 1640 1652 1951 2065 2296 2360 2419 2870 3304 3902 4130 4838 5740 7804 8260 9676 9755 11480 12095 13657 15608 16520 16933 19352 19510 24190 27314 33866 39020 48380 54628 67732 68285 78040 79991 84665 96760 109256 115109 135464 136570 159982 169330 230218 273140 319964 338660 399955 460436 546280 559937 575545 639928 677320 799910 805763 920872 1119874 1151090 1599820 1611526 2239748 2302180 2799685 3199640 3223052 4028815 4479496 4604360 4719469 5599370 6446104 8057630 9438938 11198740 16115260 18877876 22397480 23597345 32230520 33036283 37755752 47194690 66072566 94389380 132145132 165181415 188778760 264290264 330362830 660725660 1321451320