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1023132431024 = 241129200456981
BaseRepresentation
bin11101110001101110111…
…00011111001010110000
310121210212212011200021122
432320313130133022300
5113230333400243044
62102004234441412
7133630114112624
oct16706734371260
93553785150248
101023132431024
113649a9647790
12146358b93268
1375633914b52
143773c769184
151b9324d4dee
hexee3771f2b0

1023132431024 has 40 divisors (see below), whose sum is σ = 2237099919120. Its totient is φ = 449023635200.

The previous prime is 1023132431011. The next prime is 1023132431093. The reversal of 1023132431024 is 4201342313201.

It is a junction number, because it is equal to n+sod(n) for n = 1023132430984 and 1023132431002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100223387 + ... + 100233594.

It is an arithmetic number, because the mean of its divisors is an integer number (55927497978).

Almost surely, 21023132431024 is an apocalyptic number.

It is an amenable number.

1023132431024 is an abundant number, since it is smaller than the sum of its proper divisors (1213967488096).

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

1023132431024 is a wasteful number, since it uses less digits than its factorization.

1023132431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200457029 (or 200457023 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1023132431024 its reverse (4201342313201), we get a palindrome (5224474744225).

The spelling of 1023132431024 in words is "one trillion, twenty-three billion, one hundred thirty-two million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 200456981 400913962 801827924 1603655848 2205026791 3207311696 4410053582 5813252449 8820107164 11626504898 17640214328 23253009796 35280428656 46506019592 63945776939 93012039184 127891553878 255783107756 511566215512 1023132431024