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920112121111001 = 713314326328841209
BaseRepresentation
bin1101000100110101100100110…
…0001000011110000111011001
311110122211212012201221211212212
43101031121030020132013121
51431100104111001023001
613020525401215244505
7364543623052563530
oct32115311410360731
94418755181854785
10920112121111001
112471a33a5103705
1287243a87819735
133065427bc92220
141232d942ac9317
157159363ce27bb
hex344d64c21e1d9

920112121111001 has 64 divisors (see below), whose sum is σ = 1200709871370240. Its totient is φ = 685516290117120.

The previous prime is 920112121110997. The next prime is 920112121111081. The reversal of 920112121111001 is 100111121211029.

It is not a de Polignac number, because 920112121111001 - 22 = 920112121110997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (920112121111081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17482085 + ... + 46323293.

It is an arithmetic number, because the mean of its divisors is an integer number (18761091740160).

Almost surely, 2920112121111001 is an apocalyptic number.

920112121111001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

920112121111001 is a deficient number, since it is larger than the sum of its proper divisors (280597750259239).

920112121111001 is a wasteful number, since it uses less digits than its factorization.

920112121111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28841566.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 920112121111001 in words is "nine hundred twenty trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one".

Divisors: 1 7 13 31 43 91 217 263 301 403 559 1333 1841 2821 3419 3913 8153 9331 11309 17329 23933 57071 79163 105989 121303 147017 350579 741923 1029119 2454053 4557527 28841209 31902689 201888463 374935717 894077479 1240171987 2624550019 6258542353 7585237967 8681203909 11623007227 16122235831 38445331597 53096665769 81361050589 98608093571 112855650817 235142376977 269117321179 326165232581 499789310761 690256654997 1645996638839 2283156628067 3056850900701 3498525175327 4240148023553 10111122210011 21397956304907 29681036164871 70777855470077 131444588730143 920112121111001