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213112322031 = 37172151232549
BaseRepresentation
bin1100011001111001111…
…0111111011111101111
3202101002011102122211010
43012132132333133233
511442423223301111
6241522532400303
721253056564060
oct3063636773757
9671064378733
10213112322031
1182420393884
1235376a76093
1317133a5a0cb
14a459728567
1558246b1aa6
hex319e7bf7ef

213112322031 has 48 divisors (see below), whose sum is σ = 347254822400. Its totient is φ = 113855500800.

The previous prime is 213112321993. The next prime is 213112322039. The reversal of 213112322031 is 130223211312.

It is not a de Polignac number, because 213112322031 - 29 = 213112321519 is a prime.

It is a super-2 number, since 2×2131123220312 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213112321989 and 213112322007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112322039) 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, 800145 + ... + 1032693.

Almost surely, 2213112322031 is an apocalyptic number.

213112322031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213112322031 is a deficient number, since it is larger than the sum of its proper divisors (134142500369).

213112322031 is a wasteful number, since it uses less digits than its factorization.

213112322031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232744 (or 232727 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213112322031 its reverse (130223211312), we get a palindrome (343335533343).

The spelling of 213112322031 in words is "two hundred thirteen billion, one hundred twelve million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 3 7 17 21 51 119 151 289 357 453 867 1057 2023 2567 3171 6069 7701 17969 43639 53907 130917 232549 305473 697647 916419 1627843 3953333 4883529 11859999 27673331 35114899 67206661 83019993 105344697 201619983 245804293 470446627 596953283 737412879 1411339881 1790859849 4178672981 10148205811 12536018943 30444617433 71037440677 213112322031