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214231132412 = 2211291078831777
BaseRepresentation
bin1100011110000100101…
…0111010100011111100
3202110222010200010010122
43013201022322203330
512002221132214122
6242225540354112
721322563402653
oct3074112724374
9673863603118
10214231132412
1182944986660
12356296a5938
131728179589b
14a52416219a
15588ca11142
hex31e12ba8fc

214231132412 has 96 divisors (see below), whose sum is σ = 427768024320. Its totient is φ = 92983403520.

The previous prime is 214231132399. The next prime is 214231132433.

It is a happy number.

214231132412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120556868 + ... + 120558644.

It is an arithmetic number, because the mean of its divisors is an integer number (4455916920).

Almost surely, 2214231132412 is an apocalyptic number.

214231132412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214231132412 is a deficient number, since it is larger than the sum of its proper divisors (213536891908).

214231132412 is a wasteful number, since it uses less digits than its factorization.

214231132412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2809 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 214231 and 132412, that added together give a palindrome (346643).

The spelling of 214231132412 in words is "two hundred fourteen billion, two hundred thirty-one million, one hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 4 11 22 29 44 58 107 116 214 319 428 638 883 1177 1276 1766 1777 2354 3103 3532 3554 4708 6206 7108 9713 12412 19426 19547 25607 34133 38852 39094 51214 51533 68266 78188 94481 102428 103066 136532 188962 190139 206132 281677 377924 380278 563354 566863 760556 1039291 1126708 1133726 1569091 2078582 2091529 2267452 2739949 3138182 4157164 4183058 5479898 5514031 6276364 8366116 10959796 11028062 17260001 22056124 30139439 34520002 45503639 60278878 60654341 69040004 91007278 120557756 121308682 167892737 182014556 242617364 335785474 500540029 671570948 1001080058 1846820107 2002160116 3693640214 4868889373 7387280428 9737778746 19475557492 53557783103 107115566206 214231132412