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212401300012131 = 3293141252189923
BaseRepresentation
bin110000010010110110001000…
…000010010111110001100011
31000212001100212210110222202010
4300102312020002113301203
5210314440330300342011
62031423450555324003
762511326135212056
oct6022661002276143
91025040783428663
10212401300012131
116174a98162593a
121b9a4965750603
13916948372a439
143a643c62caa9d
1519850a2a9c1a6
hexc12d88097c63

212401300012131 has 96 divisors (see below), whose sum is σ = 310572230952960. Its totient is φ = 128831609088000.

The previous prime is 212401300012093. The next prime is 212401300012169. The reversal of 212401300012131 is 131210003104212.

It is an interprime number because it is at equal distance from previous prime (212401300012093) and next prime (212401300012169).

It is not a de Polignac number, because 212401300012131 - 214 = 212401299995747 is a prime.

It is a super-2 number, since 2×2124013000121312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212401300012098 and 212401300012107.

It is not an unprimeable number, because it can be changed into a prime (212401300082131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2361990336 + ... + 2362080258.

It is an arithmetic number, because the mean of its divisors is an integer number (3235127405760).

Almost surely, 2212401300012131 is an apocalyptic number.

212401300012131 is a deficient number, since it is larger than the sum of its proper divisors (98170930940829).

212401300012131 is a wasteful number, since it uses less digits than its factorization.

212401300012131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90589 (or 90548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212401300012131 its reverse (131210003104212), we get a palindrome (343611303116343).

The spelling of 212401300012131 in words is "two hundred twelve trillion, four hundred one billion, three hundred million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 29 31 41 87 93 123 521 899 1189 1271 1563 1681 2697 3567 3813 5043 15109 16151 21361 36859 45327 48453 48749 52111 64083 89923 110577 146247 156333 269769 468379 619469 662191 875801 1405137 1511219 1858407 1986573 2607767 2627403 2787613 3686843 4533657 7823301 8362839 11060529 19203539 25398229 27149831 46849883 57610617 76194687 80840777 81449493 106918447 114292133 140549649 151160563 242522331 320755341 342876399 453481689 787345099 1358646607 1452346373 1920845203 2362035297 3314471857 4075939821 4357039119 4383656327 4685977453 5762535609 9943415571 13150968981 14057932359 42118044817 55704510887 59546201293 78754653323 126354134451 135893346137 167113532661 178638603879 236263959969 407680038411 1726839837497 2283884946367 2441394253013 5180519512491 6851654839101 7324182759039 70800433337377 212401300012131