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10042010011104 = 253200131522679
BaseRepresentation
bin1001001000100001011001…
…1100001000010111100000
31022120000011221110221012120
42102020112130020113200
52304012014030323404
633205122525224240
72054340240503631
oct222102634102740
938500157427176
1010042010011104
113221879947165
121162260a02080
1357ac5a77ba66
1426a07063d888
151263381189d9
hex922167085e0

10042010011104 has 48 divisors (see below), whose sum is σ = 26360458427520. Its totient is φ = 3347313540480.

The previous prime is 10042010011087. The next prime is 10042010011133. The reversal of 10042010011104 is 40111001024001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100420100111042 (a number of 27 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 7 ways as a sum of consecutive naturals, for example, 18951237 + ... + 19473915.

It is an arithmetic number, because the mean of its divisors is an integer number (549176217240).

Almost surely, 210042010011104 is an apocalyptic number.

It is an amenable number.

10042010011104 is an abundant number, since it is smaller than the sum of its proper divisors (16318448416416).

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

10042010011104 is a wasteful number, since it uses less digits than its factorization.

10042010011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722823 (or 722815 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10042010011104 its reverse (40111001024001), we get a palindrome (50153011035105).

The spelling of 10042010011104 in words is "ten trillion, forty-two billion, ten million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 200131 400262 522679 600393 800524 1045358 1200786 1568037 1601048 2090716 2401572 3136074 3202096 4181432 4803144 6272148 6404192 8362864 9606288 12544296 16725728 19212576 25088592 50177184 104604270949 209208541898 313812812847 418417083796 627625625694 836834167592 1255251251388 1673668335184 2510502502776 3347336670368 5021005005552 10042010011104