Search a number
-
+
100122100100 = 225211175354123
BaseRepresentation
bin101110100111110111…
…1100000000110000100
3100120102200101200002122
41131033233200012010
53120022224200400
6113555004025112
710143055544321
oct1351757400604
9316380350078
10100122100100
1139509351780
12174a2832198
139597bc0519
144bbb365b48
15290ed07685
hex174fbe0184

100122100100 has 72 divisors (see below), whose sum is σ = 250958500128. Its totient is φ = 34266380800.

The previous prime is 100122100097. The next prime is 100122100217. The reversal of 100122100100 is 1001221001.

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, 2658362 + ... + 2695761.

It is an arithmetic number, because the mean of its divisors is an integer number (3485534724).

Almost surely, 2100122100100 is an apocalyptic number.

100122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122100100 is an abundant number, since it is smaller than the sum of its proper divisors (150836400028).

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

100122100100 is a wasteful number, since it uses less digits than its factorization.

100122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354165 (or 5354158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100122100100 its reverse (1001221001), we get a palindrome (101123321101).

100122100100 divided by its reverse (1001221001) gives a square (100 = 102).

It can be divided in two parts, 10012 and 2100100, that added together give a palindrome (2110112).

The spelling of 100122100100 in words is "one hundred billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 5354123 10708246 21416492 26770615 53541230 58895353 91020091 107082460 117790706 133853075 182040182 235581412 267706150 294476765 364080364 455100455 535412300 588953530 910200910 1001221001 1177907060 1472383825 1820401820 2002442002 2275502275 2944767650 4004884004 4551004550 5006105005 5889535300 9102009100 10012210010 20024420020 25030525025 50061050050 100122100100