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10314211320 = 2332574092941
BaseRepresentation
bin10011001101100011…
…00101111111111000
3222121211000020000200
421212301211333320
5132110414230240
64423245202200
7513411230640
oct114661457770
928554006020
1010314211320
114413115696
121bba260360
13c84b2292a
146dbb95520
15405777930
hex266c65ff8

10314211320 has 96 divisors (see below), whose sum is σ = 38309937120. Its totient is φ = 2357533440.

The previous prime is 10314211307. The next prime is 10314211357. The reversal of 10314211320 is 2311241301.

10314211320 is a `hidden beast` number, since 10 + 314 + 21 + 1 + 320 = 666.

It is a super-2 number, since 2×103142113202 (a number of 21 digits) contains 22 as substring.

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 = 10314211293 and 10314211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2043951 + ... + 2048990.

It is an arithmetic number, because the mean of its divisors is an integer number (399061845).

Almost surely, 210314211320 is an apocalyptic number.

10314211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314211320 is an abundant number, since it is smaller than the sum of its proper divisors (27995725800).

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

10314211320 is a wasteful number, since it uses less digits than its factorization.

10314211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092965 (or 4092958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10314211320 its reverse (2311241301), we get a palindrome (12625452621).

The spelling of 10314211320 in words is "ten billion, three hundred fourteen million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4092941 8185882 12278823 16371764 20464705 24557646 28650587 32743528 36836469 40929410 49115292 57301174 61394115 73672938 81858820 85951761 98230584 114602348 122788230 143252935 147345876 163717640 171903522 184182345 229204696 245576460 257855283 286505870 294691752 343807044 368364690 429758805 491152920 515710566 573011740 687614088 736729380 859517610 1031421132 1146023480 1289276415 1473458760 1719035220 2062842264 2578552830 3438070440 5157105660 10314211320