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1021135052344 = 231124130678389
BaseRepresentation
bin11101101110000000110…
…01000101111000111000
310121121201122202022211111
432313000121011320320
5113212241033133334
62101034124010104
7133526451506311
oct16670031057070
93547648668744
101021135052344
11364074130600
12145aa0090934
13753a5b77984
14375cd393608
151b866e8e064
hexedc0645e38

1021135052344 has 96 divisors (see below), whose sum is σ = 2156798170800. Its totient is φ = 452629900800.

The previous prime is 1021135052297. The next prime is 1021135052389. The reversal of 1021135052344 is 4432505311201.

It is a congruent number.

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, 121718902 + ... + 121727290.

Almost surely, 21021135052344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021135052344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078399085400).

1021135052344 is an abundant number, since it is smaller than the sum of its proper divisors (1135663118456).

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

1021135052344 is a wasteful number, since it uses less digits than its factorization.

1021135052344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 1021135052344 in words is "one trillion, twenty-one billion, one hundred thirty-five million, fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 242 328 451 484 902 968 1804 3067 3608 4961 6134 8389 9922 12268 16778 19844 24536 33556 33737 39688 67112 67474 92279 125747 134948 184558 251494 269896 343949 369116 371107 502988 687898 738232 742214 1005976 1015069 1375796 1383217 1484428 2030138 2751592 2766434 2968856 3783439 4060276 5532868 7566878 8120552 11065736 15133756 15215387 25729063 30267512 30430774 41617829 51458126 60861548 83235658 102916252 121723096 166471316 205832504 283019693 332942632 566039386 1054891583 1132078772 2109783166 2264157544 3113216623 4219566332 6226433246 8439132664 11603807413 12452866492 23207614826 24905732984 46415229652 92830459304 127641881543 255283763086 510567526172 1021135052344