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10322323020 = 22335127714969
BaseRepresentation
bin10011001110100001…
…00010011001001100
3222122101021100012000
421213100202121030
5132120003314040
64424135112300
7513540204132
oct114720423114
928571240160
1010322323020
114417756079
122000b12690
13c86702b59
146dcca7752
1540632b130
hex26742264c

10322323020 has 96 divisors (see below), whose sum is σ = 32141188800. Its totient is φ = 2750280192.

The previous prime is 10322323013. The next prime is 10322323061. The reversal of 10322323020 is 2032322301.

It is a happy number.

10322323020 is a `hidden beast` number, since 1 + 0 + 322 + 323 + 0 + 20 = 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 = 10322322984 and 10322323002.

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, 682096 + ... + 697064.

It is an arithmetic number, because the mean of its divisors is an integer number (334804050).

Almost surely, 210322323020 is an apocalyptic number.

10322323020 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 10322323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070594400).

10322323020 is an abundant number, since it is smaller than the sum of its proper divisors (21818865780).

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

10322323020 is a wasteful number, since it uses less digits than its factorization.

10322323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10322323020 its reverse (2032322301), we get a palindrome (12354645321).

The spelling of 10322323020 in words is "ten billion, three hundred twenty-two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1277 2554 3831 5108 6385 7662 11493 12770 14969 15324 19155 22986 25540 29938 34479 38310 44907 45972 57465 59876 68958 74845 76620 89814 114930 134721 137916 149690 172395 179628 224535 229860 269442 299380 344790 404163 449070 538884 673605 689580 808326 898140 1347210 1616652 2020815 2694420 4041630 8083260 19115413 38230826 57346239 76461652 95577065 114692478 172038717 191154130 229384956 286731195 344077434 382308260 516116151 573462390 688154868 860193585 1032232302 1146924780 1720387170 2064464604 2580580755 3440774340 5161161510 10322323020