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100144204304211 = 3289973631354973
BaseRepresentation
bin10110110001010010100011…
…101110010100111101010011
3111010120200200210011012011200
4112301102203232110331103
5101111230312300213321
6552553340133242243
730044115511410234
oct2661224356247523
9433520623135150
10100144204304211
11299aaa116372a1
12b29474b493383
1343b5733a5cac2
141aa301097708b
15b89ea9670d26
hex5b14a3b94f53

100144204304211 has 48 divisors (see below), whose sum is σ = 147827190026880. Its totient is φ = 65313939271680.

The previous prime is 100144204304197. The next prime is 100144204304231. The reversal of 100144204304211 is 112403402441001.

100144204304211 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 4 + 204 + 30 + 421 + 1 = 666.

It is not a de Polignac number, because 100144204304211 - 29 = 100144204303699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100144204304231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281940321 + ... + 282295293.

It is an arithmetic number, because the mean of its divisors is an integer number (3079733125560).

Almost surely, 2100144204304211 is an apocalyptic number.

100144204304211 is a deficient number, since it is larger than the sum of its proper divisors (47682985722669).

100144204304211 is a wasteful number, since it uses less digits than its factorization.

100144204304211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358796 (or 358793 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100144204304211 its reverse (112403402441001), we get a palindrome (212547606745212).

The spelling of 100144204304211 in words is "one hundred trillion, one hundred forty-four billion, two hundred four million, three hundred four thousand, two hundred eleven".

Divisors: 1 3 9 89 97 267 291 801 873 3631 8633 10893 25899 32679 77697 323159 352207 354973 969477 1056621 1064919 2908431 3169863 3194757 31346423 31592597 34432381 94039269 94777791 103297143 282117807 284333373 309891429 1288906963 3064481909 3866720889 9193445727 11600162667 27580337181 114712719707 125023975411 344138159121 375071926233 1032414477363 1125215778699 11127133811579 33381401434737 100144204304211