Search a number
-
+
101112232100 = 225211131701681
BaseRepresentation
bin101111000101011000…
…0100011100010100100
3100122222200111120212012
41132022300203202210
53124034212411400
6114241134013352
710206440535455
oct1361260434244
9318880446765
10101112232100
1139977245590
121771a347258
1396c5083c49
144c72a6512c
15296bbd9d35
hex178ac238a4

101112232100 has 72 divisors (see below), whose sum is σ = 241187750496. Its totient is φ = 36487360000.

The previous prime is 101112232099. The next prime is 101112232127. The reversal of 101112232100 is 1232211101.

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, 206741 + ... + 494940.

It is an arithmetic number, because the mean of its divisors is an integer number (3349829868).

Almost surely, 2101112232100 is an apocalyptic number.

101112232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112232100 is an abundant number, since it is smaller than the sum of its proper divisors (140075518396).

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

101112232100 is a wasteful number, since it uses less digits than its factorization.

101112232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701837 (or 701830 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101112232100 its reverse (1232211101), we get a palindrome (102344443201).

The spelling of 101112232100 in words is "one hundred one billion, one hundred twelve million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 13100 14410 28820 36025 72050 144100 701681 1403362 2806724 3508405 7016810 7718491 14033620 15436982 17542025 30873964 35084050 38592455 70168100 77184910 91920211 154369820 183840422 192962275 367680844 385924550 459601055 771849100 919202110 1011122321 1838404220 2022244642 2298005275 4044489284 4596010550 5055611605 9192021100 10111223210 20222446420 25278058025 50556116050 101112232100