Search a number
-
+
10114203024 = 243410177269
BaseRepresentation
bin10010110101101101…
…00111110110010000
3222002212122202020000
421122312213312100
5131203213444044
64351342250000
7505432210242
oct113266476620
928085582200
1010114203024
114320227482
121b63286900
13c52564923
146bd3b0092
153e2e1ad69
hex25ada7d90

10114203024 has 100 divisors (see below), whose sum is σ = 29563656540. Its totient is φ = 3337977600.

The previous prime is 10114203019. The next prime is 10114203031. The reversal of 10114203024 is 42030241101.

It can be written as a sum of positive squares in 2 ways, for example, as 8361273600 + 1752929424 = 91440^2 + 41868^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10114202988 and 10114203006.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92262 + ... + 169530.

Almost surely, 210114203024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114203024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781828270).

10114203024 is an abundant number, since it is smaller than the sum of its proper divisors (19449453516).

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

10114203024 is a wasteful number, since it uses less digits than its factorization.

10114203024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77390 (or 77375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10114203024 its reverse (42030241101), we get a palindrome (52144444125).

The spelling of 10114203024 in words is "ten billion, one hundred fourteen million, two hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1818 2424 2727 3636 4848 5454 7272 8181 10908 14544 16362 21816 32724 43632 65448 77269 130896 154538 231807 309076 463614 618152 695421 927228 1236304 1390842 1854456 2086263 2781684 3708912 4172526 5563368 6258789 7804169 8345052 11126736 12517578 15608338 16690104 23412507 25035156 31216676 33380208 46825014 50070312 62433352 70237521 93650028 100140624 124866704 140475042 187300056 210712563 280950084 374600112 421425126 561900168 632137689 842850252 1123800336 1264275378 1685700504 2528550756 3371401008 5057101512 10114203024