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1003123311320 = 235132003963097
BaseRepresentation
bin11101001100011101100…
…11110000001011011000
310112220020101111002011002
432212032303300023120
5112413344031430240
62044454541524132
7132321221313644
oct16461663601330
93486211432132
101003123311320
11357470a59a19
121424b3b73648
1373795396250
14367a118bc24
151b160a66d15
hexe98ecf02d8

1003123311320 has 64 divisors (see below), whose sum is σ = 2431860973920. Its totient is φ = 370198692864.

The previous prime is 1003123311317. The next prime is 1003123311329. The reversal of 1003123311320 is 231133213001.

1003123311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1003123311292 and 1003123311301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003123311329) 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, 560012 + ... + 1523108.

Almost surely, 21003123311320 is an apocalyptic number.

1003123311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003123311320 is an abundant number, since it is smaller than the sum of its proper divisors (1428737662600).

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

1003123311320 is a wasteful number, since it uses less digits than its factorization.

1003123311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965124 (or 965120 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1003123311320 its reverse (231133213001), we get a palindrome (1234256524321).

The spelling of 1003123311320 in words is "one trillion, three billion, one hundred twenty-three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2003 4006 8012 10015 16024 20030 26039 40060 52078 80120 104156 130195 208312 260390 520780 963097 1041560 1926194 3852388 4815485 7704776 9630970 12520261 19261940 25040522 38523880 50081044 62601305 100162088 125202610 250405220 500810440 1929083291 3858166582 7716333164 9645416455 15432666328 19290832910 25078082783 38581665820 50156165566 77163331640 100312331132 125390413915 200624662264 250780827830 501561655660 1003123311320