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1002012011120 = 24545989272351
BaseRepresentation
bin11101001010011001001…
…00011110101001110000
310112210100221101011212102
432211030210132221300
5112404110033323440
62044152402515532
7132251535364451
oct16451444365160
93483327334772
101002012011120
11356a507266aa
12142243965ba8
1373649089c73
14366d774b128
151b0e81ecb15
hexe94c91ea70

1002012011120 has 40 divisors (see below), whose sum is σ = 2329737137280. Its totient is φ = 400794617600.

The previous prime is 1002012011089. The next prime is 1002012011129. The reversal of 1002012011120 is 211102102001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3542945 + ... + 3815295.

It is an arithmetic number, because the mean of its divisors is an integer number (58243428432).

Almost surely, 21002012011120 is an apocalyptic number.

1002012011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012011120 is an abundant number, since it is smaller than the sum of its proper divisors (1327725126160).

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

1002012011120 is a wasteful number, since it uses less digits than its factorization.

1002012011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318353 (or 318347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002012011120 its reverse (211102102001), we get a palindrome (1213114113121).

The spelling of 1002012011120 in words is "one trillion, two billion, twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 45989 91978 183956 229945 272351 367912 459890 544702 735824 919780 1089404 1361755 1839560 2178808 2723510 3679120 4357616 5447020 10894040 21788080 12525150139 25050300278 50100600556 62625750695 100201201112 125251501390 200402402224 250503002780 501006005560 1002012011120