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100424203201 = 71959131211463
BaseRepresentation
bin101110110000110111…
…1111011101111000001
3100121012201212002122101
41131201233323233001
53121132044000301
6114044555110401
710153414433350
oct1354157735701
9317181762571
10100424203201
1139653932263
1217567a42401
13961567665a
144c09525997
15292b5ce701
hex1761bfbbc1

100424203201 has 64 divisors (see below), whose sum is σ = 124651929600. Its totient is φ = 79005326400.

The previous prime is 100424203199. The next prime is 100424203223. The reversal of 100424203201 is 102302424001.

It is not a de Polignac number, because 100424203201 - 21 = 100424203199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100424203001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 216898696 + ... + 216899158.

It is an arithmetic number, because the mean of its divisors is an integer number (1947686400).

Almost surely, 2100424203201 is an apocalyptic number.

It is an amenable number.

100424203201 is a deficient number, since it is larger than the sum of its proper divisors (24227726399).

100424203201 is a wasteful number, since it uses less digits than its factorization.

100424203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100424203201 its reverse (102302424001), we get a palindrome (202726627202).

The spelling of 100424203201 in words is "one hundred billion, four hundred twenty-four million, two hundred three thousand, two hundred one".

Divisors: 1 7 19 59 131 133 211 413 463 917 1121 1477 2489 3241 4009 7729 7847 8797 12449 17423 27317 27641 28063 54103 60653 61579 87143 97693 146851 191219 193487 236531 424571 519023 525179 683851 1027957 1152407 1630819 1655717 1856167 3578527 3633161 3676253 5763887 8066849 11415733 12797783 12993169 25049689 30985561 40347209 67992013 89584481 109513853 216898927 243157877 475944091 755069197 766596971 1702105139 5285484379 14346314743 100424203201