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1010102102010 = 232522637495797
BaseRepresentation
bin11101011001011101100…
…01101110011111111010
310120120020202022101020100
432230232301232133322
5113022142114231020
62052011241340230
7132656162126331
oct16545661563772
93516222271210
101010102102010
1135a422337731
12143921197676
13743381844b1
1436c63d86d18
151b41d591a90
hexeb2ec6e7fa

1010102102010 has 48 divisors (see below), whose sum is σ = 2626386779016. Its totient is φ = 269348118144.

The previous prime is 1010102101997. The next prime is 1010102102041. The reversal of 1010102102010 is 102012010101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 883237197249 + 126864904761 = 939807^2 + 356181^2 .

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 = 1010102101983 and 1010102102001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789432 + ... + 2285228.

Almost surely, 21010102102010 is an apocalyptic number.

1010102102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010102102010 is an abundant number, since it is smaller than the sum of its proper divisors (1616284677006).

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

1010102102010 is a wasteful number, since it uses less digits than its factorization.

1010102102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518447 (or 518444 counting only the distinct ones).

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

Adding to 1010102102010 its reverse (102012010101), we get a palindrome (1112114112111).

The spelling of 1010102102010 in words is "one trillion, ten billion, one hundred two million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 22637 45274 67911 113185 135822 203733 226370 339555 407466 495797 679110 991594 1018665 1487391 2037330 2478985 2974782 4462173 4957970 7436955 8924346 14873910 22310865 44621730 11223356689 22446713378 33670070067 56116783445 67340140134 101010210201 112233566890 168350350335 202020420402 336700700670 505051051005 1010102102010