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10323031000 = 235331973433
BaseRepresentation
bin10011001110100110…
…01111001111011000
3222122102121022100111
421213103033033120
5132120143443000
64424202214104
7513546213202
oct114723171730
928572538314
1010323031000
114418099a87
1220011b4334
13c868c0189
146dd00d772
1540641acba
hex2674cf3d8

10323031000 has 128 divisors (see below), whose sum is σ = 25199516160. Its totient is φ = 3953664000.

The previous prime is 10323030983. The next prime is 10323031001. The reversal of 10323031000 is 13032301.

It is a super-2 number, since 2×103230310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323031001) 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, 3005284 + ... + 3008716.

It is an arithmetic number, because the mean of its divisors is an integer number (196871220).

Almost surely, 210323031000 is an apocalyptic number.

10323031000 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 10323031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599758080).

10323031000 is an abundant number, since it is smaller than the sum of its proper divisors (14876485160).

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

10323031000 is a wasteful number, since it uses less digits than its factorization.

10323031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10323031000 its reverse (13032301), we get a palindrome (10336063301).

The spelling of 10323031000 in words is "ten billion, three hundred twenty-three million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 97 100 124 125 155 194 200 248 250 310 388 485 500 620 775 776 970 1000 1240 1550 1940 2425 3007 3100 3433 3875 3880 4850 6014 6200 6866 7750 9700 12028 12125 13732 15035 15500 17165 19400 24056 24250 27464 30070 31000 34330 48500 60140 68660 75175 85825 97000 106423 120280 137320 150350 171650 212846 300700 333001 343300 375875 425692 429125 532115 601400 666002 686600 751750 851384 858250 1064230 1332004 1503500 1665005 1716500 2128460 2660575 2664008 3007000 3330010 3433000 4256920 5321150 6660020 8325025 10323031 10642300 13302875 13320040 16650050 20646062 21284600 26605750 33300100 41292124 41625125 51615155 53211500 66600200 82584248 83250250 103230310 106423000 166500500 206460620 258075775 333001000 412921240 516151550 1032303100 1290378875 2064606200 2580757750 5161515500 10323031000