Search a number
-
+
100022130300 = 223521709195089
BaseRepresentation
bin101110100100111001…
…0001001011001111100
3100120011201021200022110
41131021302021121330
53114321131132200
6113541033214020
710140433036221
oct1351162113174
9316151250273
10100022130300
1139467980a04
1217475261310
13958028a6b1
144babd81948
15290615bb50
hex1749c8967c

100022130300 has 72 divisors (see below), whose sum is σ = 289568185200. Its totient is φ = 26656824320.

The previous prime is 100022130289. The next prime is 100022130317. The reversal of 100022130300 is 3031220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415156 + ... + 610244.

It is an arithmetic number, because the mean of its divisors is an integer number (4021780350).

Almost surely, 2100022130300 is an apocalyptic number.

100022130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022130300 is an abundant number, since it is smaller than the sum of its proper divisors (189546054900).

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

100022130300 is a wasteful number, since it uses less digits than its factorization.

100022130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196815 (or 196808 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100022130300 its reverse (3031220001), we get a palindrome (103053350301).

The spelling of 100022130300 in words is "one hundred billion, twenty-two million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1709 3418 5127 6836 8545 10254 17090 20508 25635 34180 42725 51270 85450 102540 128175 170900 195089 256350 390178 512700 585267 780356 975445 1170534 1950890 2341068 2926335 3901780 4877225 5852670 9754450 11705340 14631675 19508900 29263350 58526700 333407101 666814202 1000221303 1333628404 1667035505 2000442606 3334071010 4000885212 5001106515 6668142020 8335177525 10002213030 16670355050 20004426060 25005532575 33340710100 50011065150 100022130300