Search a number
-
+
10326102000 = 243534493833
BaseRepresentation
bin10011001110111101…
…11100111111110000
3222122122101022222020
421213132330333300
5132121440231000
64424352111440
7513614263434
oct114736747760
928578338866
1010326102000
1144198a72a5
122002235580
13c87426c36
146dd5ac9c4
15406825ba0
hex2677bcff0

10326102000 has 160 divisors (see below), whose sum is σ = 33374203200. Its totient is φ = 2746777600.

The previous prime is 10326101999. The next prime is 10326102037. The reversal of 10326102000 is 20162301.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2692084 + ... + 2695916.

It is an arithmetic number, because the mean of its divisors is an integer number (208588770).

Almost surely, 210326102000 is an apocalyptic number.

10326102000 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 10326102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687101600).

10326102000 is an abundant number, since it is smaller than the sum of its proper divisors (23048101200).

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

10326102000 is a wasteful number, since it uses less digits than its factorization.

10326102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10326102000 its reverse (20162301), we get a palindrome (10346264301).

The spelling of 10326102000 in words is "ten billion, three hundred twenty-six million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 449 500 600 750 898 1000 1200 1347 1500 1796 2000 2245 2694 3000 3592 3833 4490 5388 6000 6735 7184 7666 8980 10776 11225 11499 13470 15332 17960 19165 21552 22450 22998 26940 30664 33675 35920 38330 44900 45996 53880 56125 57495 61328 67350 76660 89800 91992 95825 107760 112250 114990 134700 153320 168375 179600 183984 191650 224500 229980 269400 287475 306640 336750 383300 449000 459960 479125 538800 574950 673500 766600 898000 919920 958250 1149900 1347000 1437375 1533200 1721017 1916500 2299800 2694000 2874750 3442034 3833000 4599600 5163051 5749500 6884068 7666000 8605085 10326102 11499000 13768136 17210170 20652204 22998000 25815255 27536272 34420340 41304408 43025425 51630510 68840680 82608816 86050850 103261020 129076275 137681360 172101700 206522040 215127125 258152550 344203400 413044080 430254250 516305100 645381375 688406800 860508500 1032610200 1290762750 1721017000 2065220400 2581525500 3442034000 5163051000 10326102000