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131013331120 = 24571912313283
BaseRepresentation
bin111101000000100000…
…0001100100010110000
3110112011112200210121001
41322001000030202300
54121303403043440
6140104154211344
712315426640330
oct1720100144260
9415145623531
10131013331120
1150620678871
1221484123b54
13c47bacb849
1464abcc70c0
15361bcc9b9a
hex1e8100c8b0

131013331120 has 80 divisors (see below), whose sum is σ = 366443331840. Its totient is φ = 42554702592.

The previous prime is 131013331103. The next prime is 131013331123. The reversal of 131013331120 is 21133310131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (131013331123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6146002 + ... + 6167281.

It is an arithmetic number, because the mean of its divisors is an integer number (4580541648).

Almost surely, 2131013331120 is an apocalyptic number.

131013331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131013331120 is an abundant number, since it is smaller than the sum of its proper divisors (235430000720).

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

131013331120 is a wasteful number, since it uses less digits than its factorization.

131013331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12313322 (or 12313316 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131013331120 its reverse (21133310131), we get a palindrome (152146641251).

The spelling of 131013331120 in words is "one hundred thirty-one billion, thirteen million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 12313283 24626566 49253132 61566415 86192981 98506264 123132830 172385962 197012528 233952377 246265660 344771924 430964905 467904754 492531320 689543848 861929810 935809508 985062640 1169761885 1379087696 1637666639 1723859620 1871619016 2339523770 3275333278 3447719240 3743238032 4679047540 6550666556 6895438480 8188333195 9358095080 13101333112 16376666390 18716190160 26202666224 32753332780 65506665560 131013331120