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31641541113 = 373134759853
BaseRepresentation
bin11101011101111110…
…111001100111111001
310000200011010211110010
4131131332321213321
51004300213303423
622311432012133
72200051443000
oct353576714771
9100604124403
1031641541113
1112467909186
126170831049
132ca34b3cc0
141762473c37
15c52cd1693
hex75dfb99f9

31641541113 has 128 divisors (see below), whose sum is σ = 55093248000. Its totient is φ = 16039247616.

The previous prime is 31641541103. The next prime is 31641541153. The reversal of 31641541113 is 31114514613.

It is not a de Polignac number, because 31641541113 - 26 = 31641541049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31641541103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37093995 + ... + 37094847.

It is an arithmetic number, because the mean of its divisors is an integer number (430416000).

Almost surely, 231641541113 is an apocalyptic number.

It is an amenable number.

31641541113 is a deficient number, since it is larger than the sum of its proper divisors (23451706887).

31641541113 is a wasteful number, since it uses less digits than its factorization.

31641541113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 982 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The spelling of 31641541113 in words is "thirty-one billion, six hundred forty-one million, five hundred forty-one thousand, one hundred thirteen".

Divisors: 1 3 7 13 21 39 47 49 59 91 141 147 177 273 329 343 413 611 637 767 853 987 1029 1239 1833 1911 2301 2303 2559 2773 2891 4277 4459 5369 5971 6909 8319 8673 11089 12831 13377 16107 16121 17913 19411 20237 29939 33267 36049 37583 40091 41797 48363 50327 58233 60711 77623 89817 108147 112749 120273 125391 135877 150981 209573 232869 252343 263081 280637 292579 352289 407631 521183 543361 628719 654251 757029 789243 841911 877737 951139 1056867 1563549 1630083 1766401 1962753 1964459 2365369 2466023 2853417 3648281 3803527 4579757 5299203 5893377 7096107 7398069 10944843 11410581 12364807 13739271 13751213 16557583 17262161 25537967 30749797 32058299 37094421 41253639 49672749 51786483 76613901 92249391 96174897 115903081 178765769 215248579 224408093 347709243 536297307 645745737 673224279 811321567 1506740053 2433964701 4520220159 10547180371 31641541113