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31332022320132 = 2234262973677369
BaseRepresentation
bin1110001111111000011100…
…00011110111110000000100
311002221022102111200121210000
413013330032003313300010
513101320440203221012
6150345422104201300
76412443502322532
oct707741603676004
9132838374617700
1031332022320132
119a8a921859326
123620432a69230
13146379b88c2c1
147a46997a9152
15395040148ddc
hex1c7f0e0f7c04

31332022320132 has 60 divisors (see below), whose sum is σ = 81911232392220. Its totient is φ = 10443607444224.

The previous prime is 31332022320089. The next prime is 31332022320223. The reversal of 31332022320132 is 23102322023313.

31332022320132 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 202 + 2 + 320 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9124121019456 + 22207901300676 = 3020616^2 + 4712526^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31332022320096 and 31332022320105.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6681544 + ... + 10358912.

It is an arithmetic number, because the mean of its divisors is an integer number (1365187206537).

Almost surely, 231332022320132 is an apocalyptic number.

It is an amenable number.

31332022320132 is an abundant number, since it is smaller than the sum of its proper divisors (50579210072088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31332022320132 is a wasteful number, since it uses less digits than its factorization.

31332022320132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703682 (or 3703671 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31332022320132 its reverse (23102322023313), we get a palindrome (54434344343445).

The spelling of 31332022320132 in words is "thirty-one trillion, three hundred thirty-two billion, twenty-two million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 26297 52594 78891 105188 157782 236673 315564 473346 710019 946692 1420038 2130057 2840076 3677369 4260114 7354738 8520228 11032107 14709476 22064214 33096321 44128428 66192642 99288963 132385284 198577926 297866889 397155852 595733778 1191467556 96703772593 193407545186 290111317779 386815090372 580222635558 870333953337 1160445271116 1740667906674 2611001860011 3481335813348 5222003720022 7833005580033 10444007440044 15666011160066 31332022320132