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1010022012 = 2232431673907
BaseRepresentation
bin111100001100111…
…011011001111100
32121101112102201200
4330030323121330
54032031201022
6244120135500
734013021406
oct7414733174
92541472650
101010022012
1147914953a
12242307590
13131338a7c
14981d9b76
155da10bac
hex3c33b67c

1010022012 has 72 divisors (see below), whose sum is σ = 2628802176. Its totient is φ = 326791584.

The previous prime is 1010021993. The next prime is 1010022019. The reversal of 1010022012 is 2102200101.

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 = 1010021985 and 1010022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010022019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256563 + ... + 260469.

Almost surely, 21010022012 is an apocalyptic number.

1010022012 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 1010022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314401088).

1010022012 is an abundant number, since it is smaller than the sum of its proper divisors (1618780164).

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

1010022012 is a wasteful number, since it uses less digits than its factorization.

1010022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1010022012 is about 31780.8434752761. The cubic root of 1010022012 is about 1003.3295723110.

Adding to 1010022012 its reverse (2102200101), we get a palindrome (3112222113).

The spelling of 1010022012 in words is "one billion, ten million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 167 172 258 334 387 501 516 668 774 1002 1503 1548 2004 3006 3907 6012 7181 7814 11721 14362 15628 21543 23442 28724 35163 43086 46884 64629 70326 86172 129258 140652 168001 258516 336002 504003 652469 672004 1008006 1304938 1512009 1957407 2016012 2609876 3024018 3914814 5872221 6048036 7829628 11744442 23488884 28056167 56112334 84168501 112224668 168337002 252505503 336674004 505011006 1010022012