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212302022031 = 331123167186103
BaseRepresentation
bin1100010110111000101…
…1111100010110001111
3202021222200201011012000
43011232023330112033
511434243304201111
6241310305043343
721224020261311
oct3055613742617
9667880634160
10212302022031
1182044a58460
123518b626553
1317034c0bc58
14a3bdc7b7b1
1557c84a2c56
hex316e2fc58f

212302022031 has 64 divisors (see below), whose sum is σ = 360178237440. Its totient is φ = 122336010720.

The previous prime is 212302021979. The next prime is 212302022089. The reversal of 212302022031 is 130220203212.

It is not a de Polignac number, because 212302022031 - 210 = 212302021007 is a prime.

It is a super-2 number, since 2×2123020220312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212302021995 and 212302022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302022431) 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, 1047726 + ... + 1233828.

It is an arithmetic number, because the mean of its divisors is an integer number (5627784960).

Almost surely, 2212302022031 is an apocalyptic number.

212302022031 is a deficient number, since it is larger than the sum of its proper divisors (147876215409).

212302022031 is a wasteful number, since it uses less digits than its factorization.

212302022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186313 (or 186307 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212302022031 its reverse (130220203212), we get a palindrome (342522225243).

The spelling of 212302022031 in words is "two hundred twelve billion, three hundred two million, twenty-two thousand, thirty-one".

Divisors: 1 3 9 11 23 27 33 69 99 167 207 253 297 501 621 759 1503 1837 2277 3841 4509 5511 6831 11523 16533 34569 42251 49599 103707 126753 186103 380259 558309 1140777 1674927 2047133 4280369 5024781 6141399 12841107 18424197 31079201 38523321 47084059 55272591 93237603 115569963 141252177 279712809 341871211 423756531 714821623 839138427 1025613633 1271269593 2144464869 3076840899 6433394607 7863037853 9230522697 19300183821 23589113559 70767340677 212302022031