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31003010010 = 234572781129
BaseRepresentation
bin11100110111111011…
…000110001111011010
32222000122122002110000
4130313323012033122
51001443232310020
622124222033430
72145166144200
oct346773061732
988018562400
1031003010010
111216a433325
126012a18876
132c0111734b
14170173b070
15c16c02090
hex737ec63da

31003010010 has 120 divisors (see below), whose sum is σ = 96974164980. Its totient is φ = 7086393216.

The previous prime is 31003009979. The next prime is 31003010033. The reversal of 31003010010 is 1001030013.

It can be written as a sum of positive squares in 2 ways, for example, as 30917243889 + 85766121 = 175833^2 + 9261^2 .

It is a super-2 number, since 2×310030100102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 31003009974 and 31003010001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 350875 + ... + 430254.

Almost surely, 231003010010 is an apocalyptic number.

31003010010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31003010010 is an abundant number, since it is smaller than the sum of its proper divisors (65971154970).

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

31003010010 is a wasteful number, since it uses less digits than its factorization.

31003010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781162 (or 781146 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 31003010010 its reverse (1001030013), we get a palindrome (32004040023).

The spelling of 31003010010 in words is "thirty-one billion, three million, ten thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19845 39690 781129 1562258 2343387 3905645 4686774 5467903 7030161 7811290 10935806 11716935 14060322 16403709 21090483 23433870 27339515 32807418 35150805 38275321 42180966 49211127 54679030 63271449 70301610 76550642 82018545 98422254 105452415 114825963 126542898 147633381 164037090 191376605 210904830 229651926 246055635 295266762 316357245 344477889 382753210 442900143 492111270 574129815 632714490 688955778 738166905 885800286 1033433667 1148259630 1476333810 1722389445 2066867334 2214500715 3100301001 3444778890 4429001430 5167168335 6200602002 10334336670 15501505005 31003010010