Search a number
-
+
100122201010 = 25132975135363
BaseRepresentation
bin101110100111110111…
…1111000101110110010
3100120102200120210112001
41131033233320232302
53120022240413020
6113555010124214
710143056444446
oct1351757705662
9316380523461
10100122201010
1139509410577
12174a288066a
139597c27430
144bbb390826
15290ed2750a
hex174fbf8bb2

100122201010 has 64 divisors (see below), whose sum is σ = 201048583680. Its totient is φ = 35644896000.

The previous prime is 100122200999. The next prime is 100122201017. The reversal of 100122201010 is 10102221001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100122201017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2813589 + ... + 2848951.

It is an arithmetic number, because the mean of its divisors is an integer number (3141384120).

Almost surely, 2100122201010 is an apocalyptic number.

100122201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122201010 is an abundant number, since it is smaller than the sum of its proper divisors (100926382670).

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

100122201010 is a wasteful number, since it uses less digits than its factorization.

100122201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36163.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100122201010 its reverse (10102221001), we get a palindrome (110224422011).

The spelling of 100122201010 in words is "one hundred billion, one hundred twenty-two million, two hundred one thousand, ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 751 754 1502 1885 3755 3770 7510 9763 19526 21779 35363 43558 48815 70726 97630 108895 176815 217790 283127 353630 459719 566254 919438 1025527 1415635 2051054 2298595 2831270 4597190 5127635 10255270 13331851 26557613 26663702 53115226 66659255 132788065 133318510 265576130 345248969 690497938 770170777 1540341554 1726244845 3452489690 3850853885 7701707770 10012220101 20024440202 50061100505 100122201010