Search a number
-
+
10042103320 = 2351717385363
BaseRepresentation
bin10010101101000111…
…00101011000011000
3221220211222201000121
421112203211120120
5131031234301240
64340245043024
7503565320104
oct112643453030
927824881017
1010042103320
114293561947
121b430b6474
13c4063c492
146b39a2904
153db92804a
hex2568e5618

10042103320 has 64 divisors (see below), whose sum is σ = 24062404320. Its totient is φ = 3758659584.

The previous prime is 10042103263. The next prime is 10042103339. The reversal of 10042103320 is 2330124001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10042103294 and 10042103303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74959 + ... + 160321.

Almost surely, 210042103320 is an apocalyptic number.

10042103320 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 10042103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031202160).

10042103320 is an abundant number, since it is smaller than the sum of its proper divisors (14020301000).

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

10042103320 is a wasteful number, since it uses less digits than its factorization.

10042103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85564 (or 85560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10042103320 its reverse (2330124001), we get a palindrome (12372227321).

The spelling of 10042103320 in words is "ten billion, forty-two million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 680 692 865 1384 1730 2941 3460 5882 6920 11764 14705 23528 29410 58820 85363 117640 170726 341452 426815 682904 853630 1451171 1707260 2902342 3414520 5804684 7255855 11609368 14511710 14767799 29023420 29535598 58046840 59071196 73838995 118142392 147677990 251052583 295355980 502105166 590711960 1004210332 1255262915 2008420664 2510525830 5021051660 10042103320