Search a number
-
+
3132021311010 = 2325216131610153
BaseRepresentation
bin101101100100111011000…
…001001000011000100010
3102002102021221122202111200
4231210323001020120202
5402303334423423020
610354455234222030
7442165256612334
oct55447301103042
912072257582450
103132021311010
11aa8312418779
1242700b724916
1319946b400b47
14ab83aa07454
155670ec79590
hex2d93b048622

3132021311010 has 48 divisors (see below), whose sum is σ = 8143637242104. Its totient is φ = 835166520576.

The previous prime is 3132021310993. The next prime is 3132021311011. The reversal of 3132021311010 is 101131202313.

3132021311010 is a `hidden beast` number, since 3 + 1 + 320 + 21 + 311 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2965872953241 + 166148357769 = 1722171^2 + 407613^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3132021311011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140094 + ... + 2750246.

Almost surely, 23132021311010 is an apocalyptic number.

3132021311010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3132021311010 is an abundant number, since it is smaller than the sum of its proper divisors (5011615931094).

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

3132021311010 is a wasteful number, since it uses less digits than its factorization.

3132021311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631779 (or 1631776 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3132021311010 its reverse (101131202313), we get a palindrome (3233152513323).

The spelling of 3132021311010 in words is "three trillion, one hundred thirty-two billion, twenty-one million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 21613 43226 64839 108065 129678 194517 216130 324195 389034 648390 972585 1610153 1945170 3220306 4830459 8050765 9660918 14491377 16101530 24152295 28982754 48304590 72456885 144913770 34800236789 69600473578 104400710367 174001183945 208801420734 313202131101 348002367890 522003551835 626404262202 1044007103670 1566010655505 3132021311010