Search a number
-
+
100111223010 = 23523375966463
BaseRepresentation
bin101110100111100011…
…0000000100011100010
3100120101220221001112110
41131033012000203202
53120011433114020
6113553534540150
710142564232561
oct1351706004342
9316356831473
10100111223010
11395031a2647
121749b067656
139595882686
144bb9b33bd8
15290dda98e0
hex174f1808e2

100111223010 has 128 divisors (see below), whose sum is σ = 261857525760. Its totient is φ = 24423987456.

The previous prime is 100111222961. The next prime is 100111223071. The reversal of 100111223010 is 10322111001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473039 + ... + 1539501.

It is an arithmetic number, because the mean of its divisors is an integer number (2045761920).

Almost surely, 2100111223010 is an apocalyptic number.

100111223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130928762880).

100111223010 is an abundant number, since it is smaller than the sum of its proper divisors (161746302750).

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

100111223010 is a wasteful number, since it uses less digits than its factorization.

100111223010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66592.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100111223010 its reverse (10322111001), we get a palindrome (110433334011).

The spelling of 100111223010 in words is "one hundred billion, one hundred eleven million, two hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 59 69 74 111 115 118 138 177 185 222 230 295 345 354 370 555 590 690 851 885 1110 1357 1702 1770 2183 2553 2714 4071 4255 4366 5106 6549 6785 8142 8510 10915 12765 13098 13570 20355 21830 25530 32745 40710 50209 65490 66463 100418 132926 150627 199389 251045 301254 332315 398778 502090 664630 753135 996945 1506270 1528649 1993890 2459131 3057298 3921317 4585947 4918262 7377393 7643245 7842634 9171894 11763951 12295655 14754786 15286490 19606585 22929735 23527902 24591310 36886965 39213170 45859470 56560013 58819755 73773930 90190291 113120026 117639510 145088729 169680039 180380582 270570873 282800065 290177458 339360078 435266187 450951455 541141746 565600130 725443645 848400195 870532374 901902910 1352854365 1450887290 1696800390 2176330935 2705708730 3337040767 4352661870 6674081534 10011122301 16685203835 20022244602 33370407670 50055611505 100111223010