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1023311542132 = 221117286699283
BaseRepresentation
bin11101110010000100001…
…11101111011101110100
310121211100100012110112101
432321002013233131310
5113231220223322012
62102034113431444
7133634420406505
oct16710207573564
93554310173471
101023311542132
11364a907625a0
121463a8b6b584
1375661a67259
1437758470bac
151b9430b4d57
hexee421ef774

1023311542132 has 72 divisors (see below), whose sum is σ = 2075734916640. Its totient is φ = 437682685440.

The previous prime is 1023311542073. The next prime is 1023311542153. The reversal of 1023311542132 is 2312451133201.

It is a super-2 number, since 2×10233115421322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023311542132.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 110230363 + ... + 110239645.

It is an arithmetic number, because the mean of its divisors is an integer number (28829651620).

Almost surely, 21023311542132 is an apocalyptic number.

It is an amenable number.

1023311542132 is an abundant number, since it is smaller than the sum of its proper divisors (1052423374508).

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

1023311542132 is a wasteful number, since it uses less digits than its factorization.

1023311542132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18001 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1023311542132 its reverse (2312451133201), we get a palindrome (3335762675333).

The spelling of 1023311542132 in words is "one trillion, twenty-three billion, three hundred eleven million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 289 374 578 748 1156 3179 6358 8669 9283 12716 17338 18566 34676 37132 95359 102113 147373 157811 190718 204226 294746 315622 381436 408452 589492 631244 1621103 1735921 2505341 2682787 3242206 3471842 5010682 5365574 6484412 6943684 10021364 10731148 27558751 29510657 55117502 59021314 80474327 110235004 118042628 160948654 321897308 885217597 1368063559 1770435194 2736127118 3540870388 5472254236 15048699149 23257080503 30097398298 46514161006 60194796596 93028322012 255827885533 511655771066 1023311542132