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1023002312121 = 33163812312983
BaseRepresentation
bin11101110001011111011…
…00000111110110111001
310121210112210022221201000
432320233230013312321
5113230102042441441
62101543305515213
7133623644115336
oct16705754076671
93553483287630
101023002312121
113649421544a9
121463214a2b09
137561298720a
143772937798d
151b925d812b6
hexee2fb07db9

1023002312121 has 16 divisors (see below), whose sum is σ = 1515652155520. Its totient is φ = 681959612880.

The previous prime is 1023002312083. The next prime is 1023002312161. The reversal of 1023002312121 is 1212132003201.

1023002312121 is a `hidden beast` number, since 1 + 0 + 230 + 0 + 2 + 312 + 121 = 666.

It is not a de Polignac number, because 1023002312121 - 215 = 1023002279353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023002312094 and 1023002312103.

It is not an unprimeable number, because it can be changed into a prime (1023002312161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714205 + ... + 1598778.

It is an arithmetic number, because the mean of its divisors is an integer number (94728259720).

Almost surely, 21023002312121 is an apocalyptic number.

It is an amenable number.

1023002312121 is a deficient number, since it is larger than the sum of its proper divisors (492649843399).

1023002312121 is a wasteful number, since it uses less digits than its factorization.

1023002312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329373 (or 2329367 counting only the distinct ones).

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

Adding to 1023002312121 its reverse (1212132003201), we get a palindrome (2235134315322).

The spelling of 1023002312121 in words is "one trillion, twenty-three billion, two million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 27 16381 49143 147429 442287 2312983 6938949 20816847 62450541 37888974523 113666923569 341000770707 1023002312121