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100144002100194 = 23313341341797619
BaseRepresentation
bin10110110001010010010111…
…101010111110101111100010
3111010120200011200200011102000
4112301102113222332233202
5101111224404014201234
6552553304111304430
730044110504613163
oct2661222752765742
9433520150604360
10100144002100194
11299aa918489438
12b2946b381b116
1343b5700bb3560
141aa2dd1b7d76a
15b89e96a2d899
hex5b1497abebe2

100144002100194 has 64 divisors (see below), whose sum is σ = 239731085462400. Its totient is φ = 30804510085056.

The previous prime is 100144002100069. The next prime is 100144002100301. The reversal of 100144002100194 is 491001200441001.

100144002100194 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 440 + 0 + 210 + 0 + 1 + 9 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18502884 + ... + 23294735.

It is an arithmetic number, because the mean of its divisors is an integer number (3745798210350).

Almost surely, 2100144002100194 is an apocalyptic number.

100144002100194 is an abundant number, since it is smaller than the sum of its proper divisors (139587083362206).

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

100144002100194 is a wasteful number, since it uses less digits than its factorization.

100144002100194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41801056 (or 41801050 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 100144002100194 its reverse (491001200441001), we get a palindrome (591145202541195).

The spelling of 100144002100194 in words is "one hundred trillion, one hundred forty-four billion, two million, one hundred thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 3413 6826 10239 20478 30717 44369 61434 88738 92151 133107 184302 266214 399321 798642 1197963 2395926 41797619 83595238 125392857 250785714 376178571 543369047 752357142 1086738094 1128535713 1630107141 2257071426 3260214282 4890321423 9780642846 14670964269 29341928538 142655273647 285310547294 427965820941 855931641882 1283897462823 1854518557411 2567794925646 3709037114822 3851692388469 5563555672233 7703384776938 11127111344466 16690667016699 33381334033398 50072001050097 100144002100194