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100441541361 = 3737675993221
BaseRepresentation
bin101110110001011001…
…0000100101011110001
3100121020221110222010110
41131202302010223301
53121201013310421
6114050414451533
710154015005050
oct1354262045361
9317227428113
10100441541361
11396626a4717
1217571803ba9
139619137315
144c0b95a397
15292cda6a76
hex1762c84af1

100441541361 has 64 divisors (see below), whose sum is σ = 159852441600. Its totient is φ = 54901566720.

The previous prime is 100441541353. The next prime is 100441541377. The reversal of 100441541361 is 163145144001.

It is not a de Polignac number, because 100441541361 - 23 = 100441541353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100441541341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31181731 + ... + 31184951.

It is an arithmetic number, because the mean of its divisors is an integer number (2497694400).

Almost surely, 2100441541361 is an apocalyptic number.

It is an amenable number.

100441541361 is a deficient number, since it is larger than the sum of its proper divisors (59410900239).

100441541361 is a wasteful number, since it uses less digits than its factorization.

100441541361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 100441541361 its reverse (163145144001), we get a palindrome (263586685362).

The spelling of 100441541361 in words is "one hundred billion, four hundred forty-one million, five hundred forty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 21 37 67 111 201 259 469 599 777 1407 1797 2479 3221 4193 7437 9663 12579 17353 22163 22547 40133 52059 66489 67641 119177 120399 155141 215807 280931 357531 465423 647421 834239 842793 1484921 1510649 1929379 2502717 4454763 4531947 5788137 7984859 10394447 13505653 23954577 31183341 40516959 55894013 71387023 129268393 167682039 214161069 387805179 499709161 904878751 1499127483 2714636253 4782930541 14348791623 33480513787 100441541361