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100113404241 = 31926941915583
BaseRepresentation
bin101110100111100111…
…0010101000101010001
3100120102002000212121210
41131033032111011101
53120013012413431
6113554053410333
710142621616054
oct1351716250521
9316362025553
10100113404241
1139504452414
121749b9399a9
139596167446
144bba140a9b
15290e18ad46
hex174f395151

100113404241 has 32 divisors (see below), whose sum is σ = 141378048000. Its totient is φ = 62840086848.

The previous prime is 100113404239. The next prime is 100113404269. The reversal of 100113404241 is 142404311001.

It is not a de Polignac number, because 100113404241 - 21 = 100113404239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100113405241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6416736 + ... + 6432318.

It is an arithmetic number, because the mean of its divisors is an integer number (4418064000).

Almost surely, 2100113404241 is an apocalyptic number.

It is an amenable number.

100113404241 is a deficient number, since it is larger than the sum of its proper divisors (41264643759).

100113404241 is a wasteful number, since it uses less digits than its factorization.

100113404241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100113404241 its reverse (142404311001), we get a palindrome (242517715242).

The spelling of 100113404241 in words is "one hundred billion, one hundred thirteen million, four hundred four thousand, two hundred forty-one".

Divisors: 1 3 19 57 269 419 807 1257 5111 7961 15333 15583 23883 46749 112711 296077 338133 888231 2141509 4191827 6424527 6529277 12575481 19587831 79644713 124056263 238934139 372168789 1756375513 5269126539 33371134747 100113404241