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100503412205 = 5723114988811
BaseRepresentation
bin101110110011001111…
…0000101110111101101
3100121102020220022222012
41131212132011313231
53121312333142310
6114100504531005
710155365623400
oct1354636056755
9317366808865
10100503412205
1139694613149
121758a480a65
139628bba9a1
144c15c63d37
152933528c05
hex1766785ded

100503412205 has 48 divisors (see below), whose sum is σ = 145793779200. Its totient is φ = 66245155200.

The previous prime is 100503412171. The next prime is 100503412253. The reversal of 100503412205 is 502214305001.

It is a de Polignac number, because none of the positive numbers 2k-100503412205 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087250 + ... + 1176060.

It is an arithmetic number, because the mean of its divisors is an integer number (3037370400).

Almost surely, 2100503412205 is an apocalyptic number.

It is an amenable number.

100503412205 is a deficient number, since it is larger than the sum of its proper divisors (45290366995).

100503412205 is a wasteful number, since it uses less digits than its factorization.

100503412205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89010 (or 89003 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 100503412205 its reverse (502214305001), we get a palindrome (602717717206).

The spelling of 100503412205 in words is "one hundred billion, five hundred three million, four hundred twelve thousand, two hundred five".

Divisors: 1 5 7 31 35 49 149 155 217 245 745 1043 1085 1519 4619 5215 7301 7595 23095 32333 36505 88811 161665 226331 444055 621677 1131655 2753141 3108385 4351739 13232839 13765705 19271987 21758695 66164195 92629873 96359935 134903909 410218009 463149365 648409111 674519545 2051090045 2871526063 3242045555 14357630315 20100682441 100503412205