Search a number
-
+
10331402240 = 21253116273
BaseRepresentation
bin10011001111100110…
…01011000000000000
3222200000100121112102
421213303023000000
5132124314332430
64425101445532
7514010320145
oct114763130000
928600317472
1010331402240
114421897465
122003b708a8
13c88561583
1470018c3cc
15407021345
hex267ccb000

10331402240 has 104 divisors (see below), whose sum is σ = 25593664128. Its totient is φ = 3999006720.

The previous prime is 10331402233. The next prime is 10331402303. The reversal of 10331402240 is 4220413301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626744 + ... + 643016.

Almost surely, 210331402240 is an apocalyptic number.

10331402240 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 10331402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796832064).

10331402240 is an abundant number, since it is smaller than the sum of its proper divisors (15262261888).

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

10331402240 is an equidigital number, since it uses as much as digits as its factorization.

10331402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16333 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10331402240 its reverse (4220413301), we get a palindrome (14551815541).

The spelling of 10331402240 in words is "ten billion, three hundred thirty-one million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2048 2480 2560 3968 4096 4960 5120 7936 9920 10240 15872 16273 19840 20480 31744 32546 39680 63488 65092 79360 81365 126976 130184 158720 162730 260368 317440 325460 504463 520736 634880 650920 1008926 1041472 1301840 2017852 2082944 2522315 2603680 4035704 4165888 5044630 5207360 8071408 8331776 10089260 10414720 16142816 16663552 20178520 20829440 32285632 33327104 40357040 41658880 64571264 66654208 80714080 83317760 129142528 161428160 166635520 258285056 322856320 333271040 516570112 645712640 1033140224 1291425280 2066280448 2582850560 5165701120 10331402240