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31104103141152 = 2532120767894287
BaseRepresentation
bin1110001001001111111010…
…00001001100111100100000
311002010112010102112200201200
413010213331001030330200
513034102200401004102
6150053005553201200
76360124446264336
oct704477501147440
9132115112480650
1031104103141152
119a021a3382798
1235a4225260200
13144814830c3a2
14797637775b56
1538e150ac551c
hex1c49fd04cf20

31104103141152 has 72 divisors (see below), whose sum is σ = 88453124637696. Its totient is φ = 10367936935296.

The previous prime is 31104103141151. The next prime is 31104103141187. The reversal of 31104103141152 is 25114130140113.

31104103141152 is a `hidden beast` number, since 31 + 1 + 0 + 410 + 31 + 41 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (31104103141151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34333753 + ... + 35228039.

It is an arithmetic number, because the mean of its divisors is an integer number (1228515619968).

Almost surely, 231104103141152 is an apocalyptic number.

31104103141152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31104103141152 is an abundant number, since it is smaller than the sum of its proper divisors (57349021496544).

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

31104103141152 is a wasteful number, since it uses less digits than its factorization.

31104103141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015070 (or 1015059 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 31104103141152 its reverse (25114130140113), we get a palindrome (56218233281265).

The spelling of 31104103141152 in words is "thirty-one trillion, one hundred four billion, one hundred three million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 120767 241534 362301 483068 724602 894287 966136 1086903 1449204 1788574 1932272 2173806 2682861 2898408 3577148 3864544 4347612 5365722 5796816 7154296 8048583 8695224 10731444 11593632 14308592 16097166 17390448 21462888 28617184 32194332 34780896 42925776 64388664 85851552 128777328 257554656 108000358129 216000716258 324001074387 432001432516 648002148774 864002865032 972003223161 1296004297548 1728005730064 1944006446322 2592008595096 3456011460128 3888012892644 5184017190192 7776025785288 10368034380384 15552051570576 31104103141152