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100001021241 = 3112475861381
BaseRepresentation
bin101110100100010000…
…1100111110100111001
3100120010020120020010110
41131020201213310321
53114300230134431
6113535000534533
710140055440612
oct1351041476471
9316106506113
10100001021241
1139456a73400
121746a181449
139578aa9524
144ba9248c09
15290438c346
hex1748867d39

100001021241 has 24 divisors (see below), whose sum is σ = 149676250752. Its totient is φ = 59317165600.

The previous prime is 100001021189. The next prime is 100001021273. The reversal of 100001021241 is 142120100001.

It is a happy number.

It is not a de Polignac number, because 100001021241 - 211 = 100001019193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001021441) 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 23 ways as a sum of consecutive naturals, for example, 2913630 + ... + 2947751.

It is an arithmetic number, because the mean of its divisors is an integer number (6236510448).

Almost surely, 2100001021241 is an apocalyptic number.

100001021241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001021241 is a deficient number, since it is larger than the sum of its proper divisors (49675229511).

100001021241 is a wasteful number, since it uses less digits than its factorization.

100001021241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861453 (or 5861442 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100001021241 its reverse (142120100001), we get a palindrome (242121121242).

The spelling of 100001021241 in words is "one hundred billion, one million, twenty-one thousand, two hundred forty-one".

Divisors: 1 3 11 33 47 121 141 363 517 1551 5687 17061 5861381 17584143 64475191 193425573 275484907 709227101 826454721 2127681303 3030333977 9091001931 33333673747 100001021241