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41013153123225 = 3522323727938591
BaseRepresentation
bin10010101001101000111100…
…11011000100101110011001
312101012211010011021022211120
421110310132123010232121
520333424414144420400
6223121103223515453
711432050111355553
oct1124643633045631
9171184104238746
1041013153123225
1112082642800138
124724759bb8b89
1319b66a688864a
14a1b09374a4d3
154b1ca607eca0
hex254d1e6c4b99

41013153123225 has 72 divisors (see below), whose sum is σ = 72800594963712. Its totient is φ = 20357174217600.

The previous prime is 41013153123169. The next prime is 41013153123269. The reversal of 41013153123225 is 52232135131014.

It is a happy number.

41013153123225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41013153123225 - 211 = 41013153121177 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12501321 + ... + 15437270.

It is an arithmetic number, because the mean of its divisors is an integer number (1011119374496).

Almost surely, 241013153123225 is an apocalyptic number.

It is an amenable number.

41013153123225 is a deficient number, since it is larger than the sum of its proper divisors (31787441840487).

41013153123225 is a wasteful number, since it uses less digits than its factorization.

41013153123225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27938687 (or 27938659 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 41013153123225 its reverse (52232135131014), we get a palindrome (93245288254239).

The spelling of 41013153123225 in words is "forty-one trillion, thirteen billion, one hundred fifty-three million, one hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 15 23 25 37 69 75 111 115 185 345 529 555 575 851 925 1587 1725 2553 2645 2775 4255 7935 12765 13225 19573 21275 39675 58719 63825 97865 293595 489325 1467975 27938591 83815773 139692955 419078865 642587593 698464775 1033727867 1927762779 2095394325 3101183601 3212937965 5168639335 9638813895 14779514639 15505918005 16064689825 23775740941 25843196675 44338543917 48194069475 71327222823 73897573195 77529590025 118878704705 221692719585 356636114115 369487865975 546842041643 594393523525 1108463597925 1640526124929 1783180570575 2734210208215 8202630624645 13671051041075 41013153123225