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105240214131241 = 7235931698764891
BaseRepresentation
bin10111111011011100100101…
…100101000101001000101001
3111210121212101110200212112111
4113323130211211011020221
5102243223424304144431
61011454404213442321
731111232420263510
oct2773344545051051
9453555343625474
10105240214131241
11305951402a7942
12b9783129403a1
134695156a72cb7
141bdb921467677
15c27815b487b1
hex5fb725945229

105240214131241 has 32 divisors (see below), whose sum is σ = 125724838238208. Its totient is φ = 86132000021760.

The previous prime is 105240214131211. The next prime is 105240214131271. The reversal of 105240214131241 is 142131412042501.

It is an interprime number because it is at equal distance from previous prime (105240214131211) and next prime (105240214131271).

It is not a de Polignac number, because 105240214131241 - 29 = 105240214130729 is a prime.

It is a super-2 number, since 2×1052402141312412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105240214131211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621767406 + ... + 1621832296.

It is an arithmetic number, because the mean of its divisors is an integer number (3928901194944).

Almost surely, 2105240214131241 is an apocalyptic number.

It is an amenable number.

105240214131241 is a deficient number, since it is larger than the sum of its proper divisors (20484624106967).

105240214131241 is a wasteful number, since it uses less digits than its factorization.

105240214131241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82501.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 105240214131241 its reverse (142131412042501), we get a palindrome (247371626173742).

The spelling of 105240214131241 in words is "one hundred five trillion, two hundred forty billion, two hundred fourteen million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 7 23 161 593 4151 13639 16987 64891 95473 118909 390701 454237 1492493 2734907 10073291 10447451 38480363 70513037 231685693 269362541 885048349 1102303417 1621799851 6195338443 7716123919 25352978591 177470850137 653665926281 4575661483967 15034316304463 105240214131241