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212053135413 = 3731418779059
BaseRepresentation
bin1100010101111101011…
…0100001000000110101
3202021100100101101221010
43011133112201000311
511433241100313123
6241225454342433
721214605624330
oct3053726410065
9667310341833
10212053135413
1181a27515239
12351201baa19
1316cc5499272
14a398bb1617
1557b16dd993
hex315f5a1035

212053135413 has 64 divisors (see below), whose sum is σ = 342114877440. Its totient is φ = 114261235200.

The previous prime is 212053135379. The next prime is 212053135447. The reversal of 212053135413 is 314531350212.

It is an interprime number because it is at equal distance from previous prime (212053135379) and next prime (212053135447).

It is not a de Polignac number, because 212053135413 - 28 = 212053135157 is a prime.

It is a super-2 number, since 2×2120531354132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212053135013) 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, 23403478 + ... + 23412536.

It is an arithmetic number, because the mean of its divisors is an integer number (5345544960).

Almost surely, 2212053135413 is an apocalyptic number.

It is an amenable number.

212053135413 is a deficient number, since it is larger than the sum of its proper divisors (130061742027).

212053135413 is a wasteful number, since it uses less digits than its factorization.

212053135413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 212053135413 its reverse (314531350212), we get a palindrome (526584485625).

The spelling of 212053135413 in words is "two hundred twelve billion, fifty-three million, one hundred thirty-five thousand, four hundred thirteen".

Divisors: 1 3 7 21 31 41 93 123 217 287 651 861 877 1271 2631 3813 6139 8897 9059 18417 26691 27177 27187 35957 63413 81561 107871 190239 190309 251699 280829 371419 570927 755097 842487 1114257 1114667 1965803 2599933 3344001 5897409 7799799 7802669 7944743 11513989 23408007 23834229 34541967 55613201 80597923 166839603 241793769 246287033 325734463 738861099 977203389 1724009231 2280141241 5172027693 6840423723 10097768353 30293305059 70684378471 212053135413