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10002012012 = 2232543151157
BaseRepresentation
bin10010101000010101…
…01001011101101100
3221211001112212002100
421110022221131230
5130441003341022
64332253455100
7502600461606
oct112412513554
927731485070
1010002012012
114272969733
121b317a1490
13c35243205
146ac528176
153d81591ac
hex2542a976c

10002012012 has 36 divisors (see below), whose sum is σ = 25288013296. Its totient is φ = 3333324960.

The previous prime is 10002012011. The next prime is 10002012023. The reversal of 10002012012 is 21021020001.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10002011985 and 10002012003.

It is not an unprimeable number, because it can be changed into a prime (10002012011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169938 + ... + 221094.

Almost surely, 210002012012 is an apocalyptic number.

10002012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002012012 is an abundant number, since it is smaller than the sum of its proper divisors (15286001284).

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

10002012012 is a wasteful number, since it uses less digits than its factorization.

10002012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56598 (or 56593 counting only the distinct ones).

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

Adding to 10002012012 its reverse (21021020001), we get a palindrome (31023032013).

The spelling of 10002012012 in words is "ten billion, two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5431 10862 16293 21724 32586 48879 51157 65172 97758 102314 153471 195516 204628 306942 460413 613884 920826 1841652 277833667 555667334 833501001 1111334668 1667002002 2500503003 3334004004 5001006006 10002012012