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1012021221012 = 223863286134157
BaseRepresentation
bin11101011101000010010…
…10100101011010010100
310120202012111110201120220
432232201022211122110
5113040104413033022
62052525514554340
7133054554305424
oct16564112453224
93522174421526
101012021221012
1136021766119a
12144177a389b0
1374582950479
1436da6bca484
151b4d1cc985c
hexeba12a5694

1012021221012 has 48 divisors (see below), whose sum is σ = 2365014661632. Its totient is φ = 336821879680.

The previous prime is 1012021220971. The next prime is 1012021221023. The reversal of 1012021221012 is 2101221202101.

It is a super-3 number, since 3×10120212210123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012021220982 and 1012021221000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29611438 + ... + 29645594.

It is an arithmetic number, because the mean of its divisors is an integer number (49271138784).

Almost surely, 21012021221012 is an apocalyptic number.

1012021221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012021221012 is an abundant number, since it is smaller than the sum of its proper divisors (1352993440620).

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

1012021221012 is a wasteful number, since it uses less digits than its factorization.

1012021221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37888 (or 37886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012021221012 its reverse (2101221202101), we get a palindrome (3113242423113).

The spelling of 1012021221012 in words is "one trillion, twelve billion, twenty-one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 863 1726 2589 2861 3452 5178 5722 8583 10356 11444 17166 34157 34332 68314 102471 136628 204942 409884 2469043 4938086 7407129 9876172 14814258 29477491 29628516 58954982 88432473 97723177 117909964 176864946 195446354 293169531 353729892 390892708 586339062 1172678124 84335101751 168670203502 253005305253 337340407004 506010610506 1012021221012