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10330240000 = 2105416141
BaseRepresentation
bin10011001111011101…
…01111010000000000
3222122221011120020111
421213232233100000
5132124020140000
64425020521104
7513664406533
oct114756572000
928587146214
1010330240000
114421173233
1220036b0194
13c88245562
146ddd68a1a
15406d91cba
hex267baf400

10330240000 has 110 divisors (see below), whose sum is σ = 25806328394. Its totient is φ = 4131840000.

The previous prime is 10330239991. The next prime is 10330240021. The reversal of 10330240000 is 4203301.

It can be written as a sum of positive squares in 5 ways, for example, as 4520141824 + 5810098176 = 67232^2 + 76224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 631930 + ... + 648070.

Almost surely, 210330240000 is an apocalyptic number.

10330240000 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 10330240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903164197).

10330240000 is an abundant number, since it is smaller than the sum of its proper divisors (15476088394).

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

10330240000 is an frugal number, since it uses more digits than its factorization.

10330240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10330240000 its reverse (4203301), we get a palindrome (10334443301).

The spelling of 10330240000 in words is "ten billion, three hundred thirty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3200 4000 5000 5120 6400 8000 10000 12800 16000 16141 20000 25600 32000 32282 40000 64000 64564 80000 80705 128000 129128 160000 161410 258256 320000 322820 403525 516512 640000 645640 807050 1033024 1291280 1614100 2017625 2066048 2582560 3228200 4035250 4132096 5165120 6456400 8070500 8264192 10088125 10330240 12912800 16141000 16528384 20176250 20660480 25825600 32282000 40352500 41320960 51651200 64564000 80705000 82641920 103302400 129128000 161410000 206604800 258256000 322820000 413209600 516512000 645640000 1033024000 1291280000 2066048000 2582560000 5165120000 10330240000