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31003010010020 = 2253721132323229
BaseRepresentation
bin1110000110010011100110…
…11001100000101110100100
311001202212012001222112110202
413003021303121200232210
513030423131030310040
6145534330340410032
76346615326661526
oct703116331405644
9131685161875422
1031003010010020
1199733369a4034
1235887113a6918
13143b7571b55b9
147927a7483a16
1538b6d5910015
hex1c3273660ba4

31003010010020 has 36 divisors (see below), whose sum is σ = 66913508953620. Its totient is φ = 12066036317568.

The previous prime is 31003010010017. The next prime is 31003010010073. The reversal of 31003010010020 is 2001001030013.

It can be written as a sum of positive squares in 6 ways, for example, as 15211669245796 + 15791340764224 = 3900214^2 + 3973832^2 .

It is a super-2 number, since 2×310030100100202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31003010009983 and 31003010010010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566134235 + ... + 566188994.

It is an arithmetic number, because the mean of its divisors is an integer number (1858708582045).

Almost surely, 231003010010020 is an apocalyptic number.

It is an amenable number.

31003010010020 is an abundant number, since it is smaller than the sum of its proper divisors (35910498943600).

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

31003010010020 is a wasteful number, since it uses less digits than its factorization.

31003010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132323312 (or 1132323273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31003010010020 its reverse (2001001030013), we get a palindrome (33004011040033).

The spelling of 31003010010020 in words is "thirty-one trillion, three billion, ten million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 5476 6845 13690 27380 1132323229 2264646458 4529292916 5661616145 11323232290 22646464580 41895959473 83791918946 167583837892 209479797365 418959594730 837919189460 1550150500501 3100301001002 6200602002004 7750752502505 15501505005010 31003010010020