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1322103420 = 22325114714207
BaseRepresentation
bin100111011001101…
…1011001001111100
310102010202210221100
41032303123021330
510201424302140
6335105133100
744522456631
oct11663331174
93363683840
101322103420
11619324960
1230a92a190
13180ba6921
14c7836188
157b109530
hex4ecdb27c

1322103420 has 144 divisors (see below), whose sum is σ = 4468359168. Its totient is φ = 313668480.

The previous prime is 1322103403. The next prime is 1322103443. The reversal of 1322103420 is 243012231.

1322103420 is a `hidden beast` number, since 1 + 32 + 210 + 3 + 420 = 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 = 1322103393 and 1322103402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85957 + ... + 100163.

It is an arithmetic number, because the mean of its divisors is an integer number (31030272).

Almost surely, 21322103420 is an apocalyptic number.

1322103420 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 1322103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234179584).

1322103420 is an abundant number, since it is smaller than the sum of its proper divisors (3146255748).

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

1322103420 is a wasteful number, since it uses less digits than its factorization.

1322103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14280 (or 14275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1322103420 is about 36360.7400914778. The cubic root of 1322103420 is about 1097.5436705485.

Adding to 1322103420 its reverse (243012231), we get a palindrome (1565115651).

The spelling of 1322103420 in words is "one billion, three hundred twenty-two million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 14207 15510 18612 23265 28414 31020 42621 46530 56828 71035 85242 93060 127863 142070 156277 170484 213105 255726 284140 312554 426210 468831 511452 625108 639315 667729 781385 852420 937662 1278630 1335458 1406493 1562770 1875324 2003187 2344155 2557260 2670916 2812986 3125540 3338645 4006374 4688310 5625972 6009561 6677290 7032465 7345019 8012748 9376620 10015935 12019122 13354580 14064930 14690038 20031870 22035057 24038244 28129860 29380076 30047805 36725095 40063740 44070114 60095610 66105171 73450190 88140228 110175285 120191220 132210342 146900380 220350570 264420684 330525855 440701140 661051710 1322103420