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92001020111 = 721113472571087
BaseRepresentation
bin101010110101110110…
…0000010100011001111
322210110201011001200022
41111223230002203033
53001404230120421
6110133101052355
76434604524300
oct1255354024317
9283421131608
1092001020111
11360211a5120
12159b6b570bb
1388a2565a50
14464a9807a7
1525d6d917ab
hex156bb028cf

92001020111 has 96 divisors (see below), whose sum is σ = 129025032192. Its totient is φ = 64455229440.

The previous prime is 92001020099. The next prime is 92001020123. The reversal of 92001020111 is 11102010029.

It is an interprime number because it is at equal distance from previous prime (92001020099) and next prime (92001020123).

It is not a de Polignac number, because 92001020111 - 210 = 92001019087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 92001020111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92001020711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84637010 + ... + 84638096.

It is an arithmetic number, because the mean of its divisors is an integer number (1344010752).

Almost surely, 292001020111 is an apocalyptic number.

92001020111 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

92001020111 is a deficient number, since it is larger than the sum of its proper divisors (37024012081).

92001020111 is a wasteful number, since it uses less digits than its factorization.

92001020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 92001020111 in words is "ninety-two billion, one million, twenty thousand, one hundred eleven".

Divisors: 1 7 11 13 47 49 77 91 143 257 329 517 539 611 637 1001 1087 1799 2303 2827 3341 3619 4277 6721 7007 7609 11957 12079 12593 14131 19789 23387 25333 29939 36751 47047 51089 53263 83699 84553 98917 132869 138523 155441 157027 163709 257257 279359 329329 357623 561979 585893 591871 664157 692419 930083 1088087 1099189 1727297 1800799 1955513 2503361 3072949 3631667 3933853 4649099 6510581 7305727 7616609 7694323 12091079 13129873 13688591 21510643 25421669 27536971 32543693 39948337 51140089 84637553 91909111 144428603 150574501 170688349 177951683 279638359 357980623 643363777 1011000221 1194818443 1877571839 1957468513 7077001547 8363729101 13143002873 92001020111