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10131434403120 = 2432514071436671
BaseRepresentation
bin1001001101101110100010…
…0011000111010100110000
31022212120000002020201121200
42103123220203013110300
52311443134201344440
633314152224251200
72063654250342042
oct223335043072460
938776002221550
1010131434403120
11325679865a478
121177658a70b00
1358650c2659a4
14270514d03a92
1512881db94c30
hex936e88c7530

10131434403120 has 60 divisors (see below), whose sum is σ = 34024733872896. Its totient is φ = 2701715840640.

The previous prime is 10131434403073. The next prime is 10131434403133. The reversal of 10131434403120 is 2130443413101.

10131434403120 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 4 + 344 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7035717616 + ... + 7035719055.

Almost surely, 210131434403120 is an apocalyptic number.

10131434403120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131434403120 is an abundant number, since it is smaller than the sum of its proper divisors (23893299469776).

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

10131434403120 is a wasteful number, since it uses less digits than its factorization.

10131434403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14071436690 (or 14071436681 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10131434403120 its reverse (2130443413101), we get a palindrome (12261877816221).

The spelling of 10131434403120 in words is "ten trillion, one hundred thirty-one billion, four hundred thirty-four million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14071436671 28142873342 42214310013 56285746684 70357183355 84428620026 112571493368 126642930039 140714366710 168857240052 211071550065 225142986736 253285860078 281428733420 337714480104 422143100130 506571720156 562857466840 633214650195 675428960208 844286200260 1013143440312 1125714933680 1266429300390 1688572400520 2026286880624 2532858600780 3377144801040 5065717201560 10131434403120