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200212010031 = 31123114613847
BaseRepresentation
bin1011101001110110010…
…0001101010000101111
3201010210010012220120210
42322131210031100233
511240013233310111
6231550502113503
720315304002025
oct2723544152057
9633703186523
10200212010031
1177a00507500
123297671b893
1315b5921cbb7
14999430c715
15531bda20a6
hex2e9d90d42f

200212010031 has 48 divisors (see below), whose sum is σ = 295082371584. Its totient is φ = 120656712000.

The previous prime is 200212009999. The next prime is 200212010111. The reversal of 200212010031 is 130010212002.

It is not a de Polignac number, because 200212010031 - 25 = 200212009999 is a prime.

It is a super-2 number, since 2×2002120100312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200212009989 and 200212010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212010431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52041750 + ... + 52045596.

It is an arithmetic number, because the mean of its divisors is an integer number (6147549408).

Almost surely, 2200212010031 is an apocalyptic number.

200212010031 is a deficient number, since it is larger than the sum of its proper divisors (94870361553).

200212010031 is a wasteful number, since it uses less digits than its factorization.

200212010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200212010031 its reverse (130010212002), we get a palindrome (330222222033).

The spelling of 200212010031 in words is "two hundred billion, two hundred twelve million, ten thousand, thirty-one".

Divisors: 1 3 11 33 121 311 363 461 933 1383 3421 3847 5071 10263 11541 15213 37631 42317 55781 112893 126951 143371 167343 430113 465487 1196417 1396461 1577081 1773467 3589251 4731243 5320401 13160587 17347891 19508137 39481761 52043673 58524411 144766457 214589507 434299371 551548237 643768521 1654644711 6067030607 18201091821 66737336677 200212010031