Search a number
-
+
3213110311131 = 372473897611571
BaseRepresentation
bin101110110000011100010…
…011000111100011011011
3102101011121011220202211110
4232300130103013203123
5410120422214424011
610500025453031403
7451065604004400
oct56603423074333
912334534822743
103213110311131
111029744006756
1243a880185563
131a3cc2034916
14b173025a2a7
15588a8b59ba6
hex2ec1c4c78db

3213110311131 has 96 divisors (see below), whose sum is σ = 5112675210240. Its totient is φ = 1788883622400.

The previous prime is 3213110311129. The next prime is 3213110311163. The reversal of 3213110311131 is 1311130113123.

It is not a de Polignac number, because 3213110311131 - 21 = 3213110311129 is a prime.

It is a super-2 number, since 2×32131103111312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3213110311098 and 3213110311107.

It is not an unprimeable number, because it can be changed into a prime (3213110310131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2045263576 + ... + 2045265146.

It is an arithmetic number, because the mean of its divisors is an integer number (53257033440).

Almost surely, 23213110311131 is an apocalyptic number.

3213110311131 is a deficient number, since it is larger than the sum of its proper divisors (1899564899109).

3213110311131 is a wasteful number, since it uses less digits than its factorization.

3213110311131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 3213110311131 its reverse (1311130113123), we get a palindrome (4524240424254).

The spelling of 3213110311131 in words is "three trillion, two hundred thirteen billion, one hundred ten million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 21 47 49 141 147 329 389 761 987 1167 1571 2283 2303 2723 4713 5327 6909 8169 10997 15981 18283 19061 32991 35767 37289 54849 57183 73837 76979 107301 111867 127981 221511 230937 250369 296029 383943 516859 611119 751107 888087 895867 1195531 1550577 1752583 1833357 2072203 2687601 3586593 3618013 4277833 5257749 6216609 8368717 10854039 12833499 13913363 14505421 25106151 28722593 29944831 41740089 43516263 56189957 58581019 86167779 89834493 97393541 168569871 175743057 201058151 292180623 393329699 465061559 603174453 681754787 1179989097 1395184677 1407407057 2045264361 2753307893 3255430913 4222221171 8259923679 9766292739 21857893273 22788016391 65573679819 68364049173 153005252911 459015758733 1071036770377 3213110311131