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212032022013 = 32716320647777
BaseRepresentation
bin1100010101111000010…
…1111110010111111101
3202021021212122201210100
43011132011332113331
511433220144201023
6241223422031313
721214231310250
oct3053605762775
9667255581710
10212032022013
1181a16604449
1235115118539
1316cc0cb6126
14a396077097
1557ae91cc43
hex315e17e5fd

212032022013 has 24 divisors (see below), whose sum is σ = 352168501568. Its totient is φ = 120417829632.

The previous prime is 212032021987. The next prime is 212032022021. The reversal of 212032022013 is 310220230212.

212032022013 is a `hidden beast` number, since 2 + 120 + 320 + 220 + 1 + 3 = 666.

It is not a de Polignac number, because 212032022013 - 214 = 212032005629 is a prime.

It is a super-3 number, since 3×2120320220133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212032021013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10313620 + ... + 10334157.

Almost surely, 2212032022013 is an apocalyptic number.

It is an amenable number.

212032022013 is a deficient number, since it is larger than the sum of its proper divisors (140136479555).

212032022013 is a wasteful number, since it uses less digits than its factorization.

212032022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20647953 (or 20647950 counting only the distinct ones).

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

Adding to 212032022013 its reverse (310220230212), we get a palindrome (522252252225).

The spelling of 212032022013 in words is "two hundred twelve billion, thirty-two million, twenty-two thousand, thirteen".

Divisors: 1 3 7 9 21 63 163 489 1141 1467 3423 10269 20647777 61943331 144534439 185829993 433603317 1300809951 3365587651 10096762953 23559113557 30290288859 70677340671 212032022013