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1020111110010 = 2325131257336667
BaseRepresentation
bin11101101100000110101…
…11000011111101111010
310121112002022000200000100
432312003113003331322
5113203141421010020
62100344345220230
7133462206236556
oct16660327037572
93545068020010
101020111110010
11363699144573
12145855191676
13752719a6b35
14375333b2866
151b80712da90
hexed835c3f7a

1020111110010 has 96 divisors (see below), whose sum is σ = 2682942305472. Its totient is φ = 268901867520.

The previous prime is 1020111110003. The next prime is 1020111110059. The reversal of 1020111110010 is 100111110201.

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 = 1020111109974 and 1020111110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2861697 + ... + 3198363.

It is an arithmetic number, because the mean of its divisors is an integer number (27947315682).

Almost surely, 21020111110010 is an apocalyptic number.

1020111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020111110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341471152736).

1020111110010 is an abundant number, since it is smaller than the sum of its proper divisors (1662831195462).

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

1020111110010 is a wasteful number, since it uses less digits than its factorization.

1020111110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337068 (or 337065 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1020111110010 its reverse (100111110201), we get a palindrome (1120222220211).

The spelling of 1020111110010 in words is "one trillion, twenty billion, one hundred eleven million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 257 262 393 514 655 771 786 1179 1285 1310 1542 1965 2313 2358 2570 3855 3930 4626 5895 7710 11565 11790 23130 33667 67334 101001 168335 202002 303003 336667 336670 505005 606006 673334 1010001 1010010 1515015 1683335 2020002 3030003 3030030 3366670 5050005 6060006 10100010 15150015 30300030 44103377 86523419 88206754 132310131 173046838 220516885 259570257 264620262 396930393 432617095 441033770 519140514 661550655 778710771 793860786 865234190 1297851285 1323101310 1557421542 1984651965 2595702570 3893553855 3969303930 7787107710 11334567889 22669135778 34003703667 56672839445 68007407334 102011111001 113345678890 170018518335 204022222002 340037036670 510055555005 1020111110010