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91351941121 = 72234312714843
BaseRepresentation
bin101010100010100000…
…0000000000000000001
322201210110210102200201
41111011000000000001
52444042044103441
6105544433045201
76412533454600
oct1250500000001
9281713712621
1091351941121
1135818875501
12158556b6801
1387cac4503c
1445c869da37
152599dcbc31
hex1545000001

91351941121 has 48 divisors (see below), whose sum is σ = 114366726144. Its totient is φ = 72574530336.

The previous prime is 91351941103. The next prime is 91351941169. The reversal of 91351941121 is 12114915319.

It is not a de Polignac number, because 91351941121 - 29 = 91351940609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91351941221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6147126 + ... + 6161968.

It is an arithmetic number, because the mean of its divisors is an integer number (2382640128).

It is a Proth number, since it is equal to 5445 ⋅ 224 + 1 and 5445 < 224.

Almost surely, 291351941121 is an apocalyptic number.

It is an amenable number.

91351941121 is a deficient number, since it is larger than the sum of its proper divisors (23014785023).

91351941121 is a wasteful number, since it uses less digits than its factorization.

91351941121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15050 (or 15043 counting only the distinct ones).

The product of its digits is 9720, while the sum is 37.

The spelling of 91351941121 in words is "ninety-one billion, three hundred fifty-one million, nine hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 7 23 43 49 127 161 301 889 989 1127 2107 2921 5461 6223 6923 14843 20447 38227 48461 103901 125603 143129 267589 341389 638249 727307 879221 1885061 2389723 4467743 6154547 13195427 14679727 16728061 31274201 43356403 81057623 92367989 102758089 303494821 567403361 719306623 1864325329 2124463747 3971823527 13050277303 91351941121