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1012002110010 = 23451249385321
BaseRepresentation
bin11101011101000000000…
…01101011101000111010
310120202011011111210020000
432232200001223220322
5113040040020010020
62052523553213430
7133054233001263
oct16564001535072
93522134453200
101012002110010
11360207898881
12144171561276
137457b9bb898
1436da445396a
151b4d02a2090
hexeba006ba3a

1012002110010 has 40 divisors (see below), whose sum is σ = 2721161231316. Its totient is φ = 269867229120.

The previous prime is 1012002110003. The next prime is 1012002110017. The reversal of 1012002110010 is 100112002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012002110003) and next prime (1012002110017).

It can be written as a sum of positive squares in 2 ways, for example, as 1011840845409 + 161264601 = 1005903^2 + 12699^2 .

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 = 1012002109974 and 1012002110001.

It is not an unprimeable number, because it can be changed into a prime (1012002110017) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 624691851 + ... + 624693470.

Almost surely, 21012002110010 is an apocalyptic number.

1012002110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1012002110010 is an abundant number, since it is smaller than the sum of its proper divisors (1709159121306).

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

1012002110010 is a wasteful number, since it uses less digits than its factorization.

1012002110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249385340 (or 1249385331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012002110010 its reverse (100112002101), we get a palindrome (1112114112111).

The spelling of 1012002110010 in words is "one trillion, twelve billion, two million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1249385321 2498770642 3748155963 6246926605 7496311926 11244467889 12493853210 18740779815 22488935778 33733403667 37481559630 56222339445 67466807334 101200211001 112444678890 168667018335 202400422002 337334036670 506001055005 1012002110010