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1321014420 = 223451174131
BaseRepresentation
bin100111010111101…
…0001010010010100
310102001201111010000
41032233101102110
510201134430140
6335025531300
744510302665
oct11657212224
93361644100
101321014420
11618750760
1230a4a3b30
131808b504b
14c763136c
157ae91a30
hex4ebd1494

1321014420 has 120 divisors (see below), whose sum is σ = 4520865888. Its totient is φ = 320241600.

The previous prime is 1321014419. The next prime is 1321014433. The reversal of 1321014420 is 244101231.

1321014420 is a `hidden beast` number, since 13 + 210 + 1 + 442 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321014393 and 1321014402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19246 + ... + 54885.

Almost surely, 21321014420 is an apocalyptic number.

1321014420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321014420 is an abundant number, since it is smaller than the sum of its proper divisors (3199851468).

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

1321014420 is a wasteful number, since it uses less digits than its factorization.

1321014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74163 (or 74152 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1321014420 is about 36345.7620638225. The cubic root of 1321014420 is about 1097.2422434555.

Adding to 1321014420 its reverse (244101231), we get a palindrome (1565115651).

The spelling of 1321014420 in words is "one billion, three hundred twenty-one million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 74131 148262 222393 296524 370655 444786 667179 741310 815441 889572 1111965 1334358 1482620 1630882 2001537 2223930 2446323 2668716 3261764 3335895 4003074 4077205 4447860 4892646 6004611 6671790 7338969 8006148 8154410 9785292 10007685 12009222 12231615 13343580 14677938 16308820 20015370 22016907 24018444 24463230 29355876 30023055 36694845 40030740 44033814 48926460 60046110 66050721 73389690 88067628 110084535 120092220 132101442 146779380 220169070 264202884 330253605 440338140 660507210 1321014420