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1013010012 = 2232719932017
BaseRepresentation
bin111100011000010…
…100111001011100
32121121011020111100
4330120110321130
54033312310022
6244304153100
734050304650
oct7430247134
92547136440
101013010012
1147a8aa463
12243308790
13131b43b11
1498776a60
155de011ac
hex3c614e5c

1013010012 has 72 divisors (see below), whose sum is σ = 2929393376. Its totient is φ = 289142784.

The previous prime is 1013009911. The next prime is 1013010017. The reversal of 1013010012 is 2100103101.

1013010012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1013009976 and 1013010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013010017) 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, 501228 + ... + 503244.

Almost surely, 21013010012 is an apocalyptic number.

1013010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1013010012 is an abundant number, since it is smaller than the sum of its proper divisors (1916383364).

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

1013010012 is a wasteful number, since it uses less digits than its factorization.

1013010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 4022 counting only the distinct ones).

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

The square root of 1013010012 is about 31827.8182098616. The cubic root of 1013010012 is about 1004.3179987172.

Adding to 1013010012 its reverse (2100103101), we get a palindrome (3113113113).

The spelling of 1013010012 in words is "one billion, thirteen million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1993 2017 3986 4034 5979 6051 7972 8068 11958 12102 13951 14119 17937 18153 23916 24204 27902 28238 35874 36306 41853 42357 55804 56476 71748 72612 83706 84714 125559 127071 167412 169428 251118 254142 502236 508284 4019881 8039762 12059643 16079524 24119286 28139167 36178929 48238572 56278334 72357858 84417501 112556668 144715716 168835002 253252503 337670004 506505006 1013010012