Search a number
-
+
100979222500 = 2254133107053
BaseRepresentation
bin101111000001011010…
…1001010011111100100
3100122122102012222222201
41132002311022133210
53123301140110000
6114220023104244
710203234141412
oct1360265123744
9318572188881
10100979222500
11399091584a2
12176a18a2084
1396a3653640
144c5d1202b2
1529601b496a
hex1782d4a7e4

100979222500 has 60 divisors (see below), whose sum is σ = 237807699052. Its totient is φ = 37284624000.

The previous prime is 100979222483. The next prime is 100979222507. The reversal of 100979222500 is 5222979001.

It can be written as a sum of positive squares in 10 ways, for example, as 100744029604 + 235192896 = 317402^2 + 15336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100979222500.

It is not an unprimeable number, because it can be changed into a prime (100979222507) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1521027 + ... + 1586026.

Almost surely, 2100979222500 is an apocalyptic number.

100979222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100979222500 is an abundant number, since it is smaller than the sum of its proper divisors (136828476552).

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

100979222500 is a wasteful number, since it uses less digits than its factorization.

100979222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107090 (or 3107073 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 100979222500 in words is "one hundred billion, nine hundred seventy-nine million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3250 6500 8125 16250 32500 3107053 6214106 12428212 15535265 31070530 40391689 62141060 77676325 80783378 155352650 161566756 201958445 310705300 388381625 403916890 776763250 807833780 1009792225 1553526500 1941908125 2019584450 3883816250 4039168900 5048961125 7767632500 10097922250 20195844500 25244805625 50489611250 100979222500