Search a number
-
+
100233031100 = 225210723833931
BaseRepresentation
bin101110101011001011…
…0101010110110111100
3100120201102010112211012
41131112112222312330
53120234123443400
6114014005414352
710145603464316
oct1352626526674
9316642115735
10100233031100
1139565a29894
1217513a0a3b8
1395b4b90577
144bcbda07b6
15291991ad35
hex17565aadbc

100233031100 has 72 divisors (see below), whose sum is σ = 219686439168. Its totient is φ = 39691742400.

The previous prime is 100233031069. The next prime is 100233031127. The reversal of 100233031100 is 1130332001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25496135 + ... + 25500065.

It is an arithmetic number, because the mean of its divisors is an integer number (3051200544).

Almost surely, 2100233031100 is an apocalyptic number.

100233031100 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 100233031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109843219584).

100233031100 is an abundant number, since it is smaller than the sum of its proper divisors (119453408068).

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

100233031100 is a wasteful number, since it uses less digits than its factorization.

100233031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100233031100 its reverse (1130332001), we get a palindrome (101363363101).

The spelling of 100233031100 in words is "one hundred billion, two hundred thirty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2383 2675 3931 4766 5350 7862 9532 10700 11915 15724 19655 23830 39310 47660 59575 78620 98275 119150 196550 238300 254981 393100 420617 509962 841234 1019924 1274905 1682468 2103085 2549810 4206170 5099620 6374525 8412340 9367573 10515425 12749050 18735146 21030850 25498100 37470292 42061700 46837865 93675730 187351460 234189325 468378650 936757300 1002330311 2004660622 4009321244 5011651555 10023303110 20046606220 25058257775 50116515550 100233031100