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331440242100 = 2235211100436437
BaseRepresentation
bin1001101001010110110…
…00001011110110110100
31011200111122021210212020
410310223120023312310
520412242200221400
6412132254353140
732642253400632
oct4645330136664
91150448253766
10331440242100
11118621415560
125429a7bb7b0
13253406c2266
1412082976352
15894c97b2a0
hex4d2b60bdb4

331440242100 has 72 divisors (see below), whose sum is σ = 1046145938208. Its totient is φ = 80349148800.

The previous prime is 331440242087. The next prime is 331440242129. The reversal of 331440242100 is 1242044133.

331440242100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3314402421002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50214919 + ... + 50221518.

Almost surely, 2331440242100 is an apocalyptic number.

331440242100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331440242100 is an abundant number, since it is smaller than the sum of its proper divisors (714705696108).

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

331440242100 is a wasteful number, since it uses less digits than its factorization.

331440242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100436465 (or 100436458 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 331440242100 its reverse (1242044133), we get a palindrome (332682286233).

The spelling of 331440242100 in words is "three hundred thirty-one billion, four hundred forty million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 100436437 200872874 301309311 401745748 502182185 602618622 1004364370 1104800807 1205237244 1506546555 2008728740 2209601614 2510910925 3013093110 3314402421 4419203228 5021821850 5524004035 6026186220 6628804842 7532732775 10043643700 11048008070 13257609684 15065465550 16572012105 22096016140 27620020175 30130931100 33144024210 55240040350 66288048420 82860060525 110480080700 165720121050 331440242100