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107146040991 = 31121012922457
BaseRepresentation
bin110001111001001100…
…1101101011010011111
3101020120012011211121120
41203302121231122133
53223413341302431
6121115555302023
710512115215153
oct1436231553237
9336505154546
10107146040991
1141493168500
1218922baa913
13a147159572
145286155063
152bc17a0196
hex18f266d69f

107146040991 has 24 divisors (see below), whose sum is σ = 158584260912. Its totient is φ = 64294032000.

The previous prime is 107146040923. The next prime is 107146041019. The reversal of 107146040991 is 199040641701.

It is not a de Polignac number, because 107146040991 - 219 = 107145516703 is a prime.

It is a super-2 number, since 2×1071460409912 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107146040191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424566 + ... + 1497891.

It is an arithmetic number, because the mean of its divisors is an integer number (6607677538).

Almost surely, 2107146040991 is an apocalyptic number.

107146040991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107146040991 is a deficient number, since it is larger than the sum of its proper divisors (51438219921).

107146040991 is a wasteful number, since it uses less digits than its factorization.

107146040991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922583 (or 2922572 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 107146040991 in words is "one hundred seven billion, one hundred forty-six million, forty thousand, nine hundred ninety-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 36663 2922457 8767371 32147027 96441081 295168157 353617297 885504471 1060851891 3246849727 9740549181 35715346997 107146040991