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10323150031000 = 235355724597537
BaseRepresentation
bin1001011000111000101110…
…1100001100100010011000
31100112212212002000201000001
42112032023230030202120
52323113302401443000
633542220055422344
72113552165315462
oct226161354144230
940485762021001
1010323150031000
113320029083244
1211a88420849b4
1359b613156311
14279900a55132
1512d7deb9a46a
hex9638bb0c898

10323150031000 has 128 divisors (see below), whose sum is σ = 24212592705600. Its totient is φ = 4119623731200.

The previous prime is 10323150030961. The next prime is 10323150031009. The reversal of 10323150031000 is 13005132301.

It is a super-2 number, since 2×103231500310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323150031009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369659232 + ... + 1369666768.

Almost surely, 210323150031000 is an apocalyptic number.

10323150031000 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 10323150031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106296352800).

10323150031000 is an abundant number, since it is smaller than the sum of its proper divisors (13889442674600).

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

10323150031000 is a wasteful number, since it uses less digits than its factorization.

10323150031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10574 (or 10560 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 10323150031000 its reverse (13005132301), we get a palindrome (10336155163301).

The spelling of 10323150031000 in words is "ten trillion, three hundred twenty-three billion, one hundred fifty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 557 1000 1114 2228 2459 2785 4456 4918 5570 7537 9836 11140 12295 13925 15074 19672 22280 24590 27850 30148 37685 49180 55700 60296 61475 69625 75370 98360 111400 122950 139250 150740 188425 245900 278500 301480 307375 376850 491800 557000 614750 753700 942125 1229500 1369663 1507400 1884250 2459000 2739326 3768500 4198109 5478652 6848315 7537000 8396218 10957304 13696630 16792436 18533483 20990545 27393260 33584872 34241575 37066966 41981090 54786520 68483150 74133932 83962180 92667415 104952725 136966300 148267864 167924360 171207875 185334830 209905450 273932600 342415750 370669660 419810900 463337075 524763625 684831500 741339320 839621800 926674150 1049527250 1369663000 1853348300 2099054500 2316685375 3706696600 4198109000 4633370750 9266741500 10323150031 18533483000 20646300062 41292600124 51615750155 82585200248 103231500310 206463000620 258078750775 412926001240 516157501550 1032315003100 1290393753875 2064630006200 2580787507750 5161575015500 10323150031000