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10311300010220 = 225113711711081763
BaseRepresentation
bin1001011000001100100101…
…0111111101000011101100
31100111202021020010021110112
42112003021113331003230
52322420020300311340
633532540144355152
72112652424644106
oct226031127750354
940452236107415
1010311300010220
113315aa804a240
1211a6495615ab8
1359a4750b40c1
142790d8d18576
1512d3496a3065
hex960c95fd0ec

10311300010220 has 96 divisors (see below), whose sum is σ = 24281430518016. Its totient is φ = 3645105235200.

The previous prime is 10311300010213. The next prime is 10311300010223. The reversal of 10311300010220 is 2201000311301.

10311300010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10311300010195 and 10311300010204.

It is not an unprimeable number, because it can be changed into a prime (10311300010223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8991059 + ... + 10072821.

It is an arithmetic number, because the mean of its divisors is an integer number (252931567896).

Almost surely, 210311300010220 is an apocalyptic number.

10311300010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311300010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140715259008).

10311300010220 is an abundant number, since it is smaller than the sum of its proper divisors (13970130507796).

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

10311300010220 is a wasteful number, since it uses less digits than its factorization.

10311300010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082991 (or 1082989 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10311300010220 its reverse (2201000311301), we get a palindrome (12512300321521).

The spelling of 10311300010220 in words is "ten trillion, three hundred eleven billion, three hundred million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1171 1628 2035 2342 4070 4684 5855 8140 11710 12881 23420 25762 43327 51524 64405 86654 128810 173308 216635 257620 433270 476597 866540 953194 1081763 1906388 2163526 2382985 4327052 4765970 5408815 9531940 10817630 11899393 21635260 23798786 40025231 47597572 59496965 80050462 118993930 160100924 200126155 237987860 400252310 440277541 800504620 880555082 1266744473 1761110164 2201387705 2533488946 4402775410 5066977892 6333722365 8805550820 12667444730 13934189203 25334889460 27868378406 46869545501 55736756812 69670946015 93739091002 139341892030 187478182004 234347727505 278683784060 468695455010 515565000511 937390910020 1031130001022 2062260002044 2577825002555 5155650005110 10311300010220