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1023121322010 = 232513841821329
BaseRepresentation
bin11101110001101101100…
…10000111000000011010
310121210212002021021120200
432320312302013000122
5113230323024301020
62102003200403030
7133626620514054
oct16706662070032
93553762237520
101023121322010
113649a334a387
12146355316476
1375631525578
143773b0b68d4
151b93153d590
hexee36c8701a

1023121322010 has 48 divisors (see below), whose sum is σ = 2660310867240. Its totient is φ = 272812308480.

The previous prime is 1023121321967. The next prime is 1023121322087. The reversal of 1023121322010 is 102231213201.

1023121322010 is a `hidden beast` number, since 1 + 0 + 231 + 213 + 220 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 975395239641 + 47726082369 = 987621^2 + 218463^2 .

It is a super-2 number, since 2×10231213220102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 835026 + ... + 1656354.

Almost surely, 21023121322010 is an apocalyptic number.

1023121322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023121322010 is an abundant number, since it is smaller than the sum of its proper divisors (1637189545230).

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

1023121322010 is a wasteful number, since it uses less digits than its factorization.

1023121322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835183 (or 835180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1023121322010 its reverse (102231213201), we get a palindrome (1125352535211).

The spelling of 1023121322010 in words is "one trillion, twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 13841 27682 41523 69205 83046 124569 138410 207615 249138 415230 622845 821329 1245690 1642658 2463987 4106645 4927974 7391961 8213290 12319935 14783922 24639870 36959805 73919610 11368014689 22736029378 34104044067 56840073445 68208088134 102312132201 113680146890 170520220335 204624264402 341040440670 511560661005 1023121322010