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10031012010 = 23251723392803
BaseRepresentation
bin10010101011110010…
…10001100010101010
3221220002010012121100
421111321101202222
5131020414341020
64335211222230
7503402123655
oct112571214252
927802105540
1010031012010
114288276878
121b3b447976
13c3b257c86
146b231689c
153da986a90
hex255e518aa

10031012010 has 96 divisors (see below), whose sum is σ = 27636448320. Its totient is φ = 2515613184.

The previous prime is 10031011987. The next prime is 10031012029. The reversal of 10031012010 is 1021013001.

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 = 10031011983 and 10031012001.

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, 3577269 + ... + 3580071.

It is an arithmetic number, because the mean of its divisors is an integer number (287879670).

Almost surely, 210031012010 is an apocalyptic number.

10031012010 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 10031012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818224160).

10031012010 is an abundant number, since it is smaller than the sum of its proper divisors (17605436310).

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

10031012010 is a wasteful number, since it uses less digits than its factorization.

10031012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10031012010 its reverse (1021013001), we get a palindrome (11052025011).

Subtracting from 10031012010 its reverse (1021013001), we obtain a palindrome (9009999009).

The spelling of 10031012010 in words is "ten billion, thirty-one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 2339 2803 4678 5606 7017 8409 11695 14015 14034 16818 21051 23390 25227 28030 35085 39763 42045 42102 47651 50454 70170 79526 84090 95302 105255 119289 126135 142953 198815 210510 238255 238578 252270 285906 357867 397630 428859 476510 596445 714765 715734 857718 1192890 1429530 1789335 2144295 3578670 4288590 6556217 13112434 19668651 32781085 39337302 59005953 65562170 98343255 111455689 118011906 196686510 222911378 295029765 334367067 557278445 590059530 668734134 1003101201 1114556890 1671835335 2006202402 3343670670 5015506005 10031012010