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100041341020401 = 31161215992300923
BaseRepresentation
bin10110101111110010110000…
…100110000010100011110001
3111010012212012001201221221110
4112233302300212002203301
5101103034131300123101
6552434205124143533
730033514456051434
oct2657626046024361
9433185161657843
10100041341020401
1129970326a2a740
12b278822837ba9
1343a8b1cc965b1
141a9c05353b81b
15b87488d9acd6
hex5afcb09828f1

100041341020401 has 32 divisors (see below), whose sum is σ = 147907076198400. Its totient is φ = 59634376027200.

The previous prime is 100041341020343. The next prime is 100041341020417. The reversal of 100041341020401 is 104020143140001.

It is not a de Polignac number, because 100041341020401 - 210 = 100041341019377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100041341020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42328326 + ... + 44629248.

It is an arithmetic number, because the mean of its divisors is an integer number (4622096131200).

Almost surely, 2100041341020401 is an apocalyptic number.

100041341020401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100041341020401 is a deficient number, since it is larger than the sum of its proper divisors (47865735177999).

100041341020401 is a wasteful number, since it uses less digits than its factorization.

100041341020401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322597.

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

Adding to 100041341020401 its reverse (104020143140001), we get a palindrome (204061484160402).

The spelling of 100041341020401 in words is "one hundred trillion, forty-one billion, three hundred forty-one million, twenty thousand, four hundred one".

Divisors: 1 3 11 33 61 183 671 2013 21599 64797 237589 712767 1317539 2300923 3952617 6902769 14492929 25310153 43478787 75930459 140356303 421068909 1543919333 4631757999 49697635877 149092907631 546673994647 1640021983941 3031555788497 9094667365491 33347113673467 100041341020401