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4131220121400 = 2335232497211877
BaseRepresentation
bin111100000111011111111…
…010000110011100111000
3112121221101211111112110110
4330013133322012130320
51020141214322341100
612441504544344320
7604320325431531
oct74073772063470
915557354445413
104131220121400
11135304a06aa99
125687a93150a0
1323c7596bb198
14103d48895688
15726e0ed1250
hex3c1dfe86738

4131220121400 has 96 divisors (see below), whose sum is σ = 12807236913840. Its totient is φ = 1101619599360.

The previous prime is 4131220121387. The next prime is 4131220121407. The reversal of 4131220121400 is 41210221314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131220121407) 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, 19392262 + ... + 19604138.

Almost surely, 24131220121400 is an apocalyptic number.

4131220121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131220121400 is an abundant number, since it is smaller than the sum of its proper divisors (8676016792440).

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

4131220121400 is a wasteful number, since it uses less digits than its factorization.

4131220121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244393 (or 244384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4131220121400 its reverse (41210221314), we get a palindrome (4172430342714).

The spelling of 4131220121400 in words is "four trillion, one hundred thirty-one billion, two hundred twenty million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 32497 64994 97491 129988 162485 194982 211877 259976 324970 389964 423754 487455 635631 649940 779928 812425 847508 974910 1059385 1271262 1299880 1624850 1695016 1949820 2118770 2437275 2542524 3178155 3249700 3899640 4237540 4874550 5085048 5296925 6356310 6499400 8475080 9749100 10593850 12712620 15890775 19498200 21187700 25425240 31781550 42375400 63563100 127126200 6885366869 13770733738 20656100607 27541467476 34426834345 41312201214 55082934952 68853668690 82624402428 103280503035 137707337380 165248804856 172134171725 206561006070 275414674760 344268343450 413122012140 516402515175 688536686900 826244024280 1032805030350 1377073373800 2065610060700 4131220121400