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10020000012 = 22311534912917
BaseRepresentation
bin10010101010011110…
…10001000100001100
3221212022101201222120
421111033101010030
5131010110000022
64334135212540
7503206411011
oct112517210414
927768351876
1010020000012
114282035350
121b37817150
13c38ba08b9
146b0a8b708
153d9a0dd5c
hex2553d110c

10020000012 has 96 divisors (see below), whose sum is σ = 26048542464. Its totient is φ = 2971987200.

The previous prime is 10019999947. The next prime is 10020000019. The reversal of 10020000012 is 21000002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10020000019) 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, 3433578 + ... + 3436494.

It is an arithmetic number, because the mean of its divisors is an integer number (271338984).

Almost surely, 210020000012 is an apocalyptic number.

10020000012 is a gapful number since it is divisible by the number (12) 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 10020000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024271232).

10020000012 is an abundant number, since it is smaller than the sum of its proper divisors (16028542452).

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

10020000012 is a wasteful number, since it uses less digits than its factorization.

10020000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10020000012 its reverse (21000002001), we get a palindrome (31020002013).

The spelling of 10020000012 in words is "ten billion, twenty million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 491 583 636 982 1166 1473 1749 1964 2332 2917 2946 3498 5401 5834 5892 6996 8751 10802 11668 16203 17502 21604 26023 32087 32406 35004 52046 64174 64812 78069 96261 104092 128348 154601 156138 192522 286253 309202 312276 385044 463803 572506 618404 858759 927606 1145012 1432247 1700611 1717518 1855212 2864494 3401222 3435036 4296741 5101833 5728988 6802444 8593482 10203666 15754717 17186964 20407332 31509434 47264151 63018868 75909091 94528302 151818182 189056604 227727273 303636364 455454546 835000001 910909092 1670000002 2505000003 3340000004 5010000006 10020000012