Search a number
-
+
1010323023000 = 233533251103591
BaseRepresentation
bin11101011001110111111…
…00011110010010011000
310120120211011000022212020
432230323330132102120
5113023120143214000
62052045212414440
7132664514000004
oct16547374362230
93516734008766
101010323023000
1135a526009965
12143983177420
1374371b85185
1436c85453704
151b432b7eba0
hexeb3bf1e498

1010323023000 has 128 divisors (see below), whose sum is σ = 3153207882240. Its totient is φ = 269334000000.

The previous prime is 1010323022977. The next prime is 1010323023053. The reversal of 1010323023000 is 3203230101.

It is a super-2 number, since 2×10103230230002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9701205 + ... + 9804795.

It is an arithmetic number, because the mean of its divisors is an integer number (24634436580).

Almost surely, 21010323023000 is an apocalyptic number.

1010323023000 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 1010323023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576603941120).

1010323023000 is an abundant number, since it is smaller than the sum of its proper divisors (2142884859240).

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

1010323023000 is a wasteful number, since it uses less digits than its factorization.

1010323023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106866 (or 106852 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1010323023000 its reverse (3203230101), we get a palindrome (1013526253101).

The spelling of 1010323023000 in words is "one trillion, ten billion, three hundred twenty-three million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3251 6502 9753 13004 16255 19506 26008 32510 39012 48765 65020 78024 81275 97530 103591 130040 162550 195060 207182 243825 310773 325100 390120 406375 414364 487650 517955 621546 650200 812750 828728 975300 1035910 1219125 1243092 1553865 1625500 1950600 2071820 2438250 2486184 2589775 3107730 3251000 4143640 4876500 5179550 6215460 7769325 9753000 10359100 12430920 12948875 15538650 20718200 25897750 31077300 38846625 51795500 62154600 77693250 103591000 155386500 310773000 336774341 673548682 1010323023 1347097364 1683871705 2020646046 2694194728 3367743410 4041292092 5051615115 6735486820 8082584184 8419358525 10103230230 13470973640 16838717050 20206460460 25258075575 33677434100 40412920920 42096792625 50516151150 67354868200 84193585250 101032302300 126290377875 168387170500 202064604600 252580755750 336774341000 505161511500 1010323023000