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10131131230144 = 262362213110629
BaseRepresentation
bin1001001101101101011001…
…1110100110011111000000
31022212112012221202221110221
42103123112132212133000
52311442024043331034
633314102154232424
72063643606405601
oct223332636463700
938775187687427
1010131131230144
1132566525090a1
121177593425714
135864914c68b2
142704c6945da8
1512880225abb4
hex936d67a67c0

10131131230144 has 56 divisors (see below), whose sum is σ = 20978575731360. Its totient is φ = 4845201951744.

The previous prime is 10131131230061. The next prime is 10131131230163. The reversal of 10131131230144 is 44103213113101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91522222 + ... + 91632850.

Almost surely, 210131131230144 is an apocalyptic number.

It is an amenable number.

10131131230144 is an abundant number, since it is smaller than the sum of its proper divisors (10847444501216).

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

10131131230144 is a wasteful number, since it uses less digits than its factorization.

10131131230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172877 (or 172867 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10131131230144 its reverse (44103213113101), we get a palindrome (54234344343245).

The spelling of 10131131230144 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 62213 110629 124426 221258 248852 442516 497704 885032 995408 1430899 1770064 1990816 2544467 2861798 3540128 3981632 5088934 5723596 7080256 10177868 11447192 20355736 22894384 40711472 45788768 81422944 91577536 162845888 6882561977 13765123954 27530247908 55060495816 110120991632 158298925471 220241983264 316597850942 440483966528 633195701884 1266391403768 2532782807536 5065565615072 10131131230144