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2032213100031 = 3312713743110037
BaseRepresentation
bin11101100100101001010…
…101110000010111111111
321012021111102110212212000
4131210221111300113333
5231243433023200111
64153330311313343
7266552064223422
oct35445125602777
97167442425760
102032213100031
11713947351704
12289a3407b853
131198382966ca
1470506bc59b9
1537ce105ec56
hex1d9295705ff

2032213100031 has 64 divisors (see below), whose sum is σ = 3063938088960. Its totient is φ = 1331101175040.

The previous prime is 2032213099993. The next prime is 2032213100087. The reversal of 2032213100031 is 1300013122302.

2032213100031 is a `hidden beast` number, since 2 + 0 + 322 + 1 + 310 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 2032213100031 - 217 = 2032212968959 is a prime.

It is a super-2 number, since 2×20322131000312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2032213099977 and 2032213100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032213107031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202467145 + ... + 202477181.

It is an arithmetic number, because the mean of its divisors is an integer number (47874032640).

Almost surely, 22032213100031 is an apocalyptic number.

2032213100031 is a deficient number, since it is larger than the sum of its proper divisors (1031724988929).

2032213100031 is a wasteful number, since it uses less digits than its factorization.

2032213100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2032213100031 its reverse (1300013122302), we get a palindrome (3332226222333).

The spelling of 2032213100031 in words is "two trillion, thirty-two billion, two hundred thirteen million, one hundred thousand, thirty-one".

Divisors: 1 3 9 27 127 137 381 411 431 1143 1233 1293 3429 3699 3879 10037 11637 17399 30111 52197 54737 59047 90333 156591 164211 177141 270999 469773 492633 531423 1274699 1375069 1477899 1594269 3824097 4125207 4325947 7498969 11472291 12375621 12977841 22496907 34416873 37126863 38933523 67490721 116800569 174633763 202472163 523901289 549395269 592654739 1571703867 1648185807 1777964217 4715111601 4944557421 5333892651 14833672263 16001677953 75267151853 225801455559 677404366677 2032213100031