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212134141431212 = 2271121328317019131
BaseRepresentation
bin110000001110111101010100…
…001001010000110110101100
31000211002211022001110220120212
4300032331110021100312230
5210301101210201244322
62031101025040001552
762453120531562050
oct6016752411206654
91024084261426525
10212134141431212
116165764756a900
121b9610269002b8
13914a2188635b0
143a554c0b19c60
15197d1686d40e2
hexc0ef54250dac

212134141431212 has 144 divisors (see below), whose sum is σ = 503991776660736. Its totient is φ = 76022411414400.

The previous prime is 212134141431193. The next prime is 212134141431221.

212134141431212 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3954887 + ... + 20974017.

Almost surely, 2212134141431212 is an apocalyptic number.

212134141431212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212134141431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251995888330368).

212134141431212 is an abundant number, since it is smaller than the sum of its proper divisors (291857635229524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212134141431212 is a wasteful number, since it uses less digits than its factorization.

212134141431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17019460 (or 17019447 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 212134141431212 in words is "two hundred twelve trillion, one hundred thirty-four billion, one hundred forty-one million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 283 286 308 364 484 566 572 847 1001 1132 1573 1694 1981 2002 3113 3146 3388 3679 3962 4004 6226 6292 7358 7924 11011 12452 14716 21791 22022 25753 34243 40469 43582 44044 51506 68486 80938 87164 103012 136972 161876 239701 283283 445159 479402 566566 890318 958804 1133132 1780636 3116113 6232226 12464452 17019131 34038262 68076524 119133917 187210441 221248703 238267834 374420882 442497406 476535668 748841764 884994812 1310473087 1548740921 2059314851 2433735733 2620946174 3097481842 4118629702 4816414073 4867471466 5241892348 6194963684 8237259404 9632828146 9734942932 14415203957 17036150131 19265656292 26771093063 28830407914 33714898511 34072300262 52980554803 53542186126 57660815828 62613382949 67429797022 68144600524 105961109606 107084372252 125226765898 134859594044 187397651441 211922219212 250453531796 370863883621 374795302882 438293680643 582786102833 688747212439 741727767242 749590605764 876587361286 1165572205666 1377494424878 1483455534484 1753174722572 2331144411332 2754988849756 4079502719831 4821230487073 7576219336829 8159005439662 9642460974146 15152438673658 16318010879324 19284921948292 30304877347316 53033535357803 106067070715606 212134141431212