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1021131232032 = 25321162298093
BaseRepresentation
bin11101101110000000010…
…10100001001100100000
310121121201101120020100110
432313000022201030200
5113212234043411112
62101033510051320
7133526404155342
oct16670012411440
93547641506313
101021131232032
11364071a6131a
12145a9a949b40
13753a513ab32
14375cca7b292
151b86698713c
hexedc02a1320

1021131232032 has 96 divisors (see below), whose sum is σ = 2693938322880. Its totient is φ = 338667678720.

The previous prime is 1021131231977. The next prime is 1021131232063. The reversal of 1021131232032 is 2302321311201.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126170578 + ... + 126178670.

It is an arithmetic number, because the mean of its divisors is an integer number (28061857530).

Almost surely, 21021131232032 is an apocalyptic number.

1021131232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021131232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346969161440).

1021131232032 is an abundant number, since it is smaller than the sum of its proper divisors (1672807090848).

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

1021131232032 is a wasteful number, since it uses less digits than its factorization.

1021131232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14546 (or 14538 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1021131232032 its reverse (2302321311201), we get a palindrome (3323452543233).

The spelling of 1021131232032 in words is "one trillion, twenty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 5064 6229 6752 8093 10128 12458 16186 18687 20256 24279 24916 32372 37374 48558 49832 64744 74748 97116 99664 129488 149496 194232 199328 258976 298992 388464 597984 776928 1314319 1707623 2628638 3415246 3942957 5122869 5257276 6830492 7885914 10245738 10514552 13660984 15771828 20491476 21029104 27321968 31543656 40982952 42058208 50411297 54643936 63087312 81965904 100822594 126174624 151233891 163931808 201645188 302467782 403290376 604935564 806580752 1209871128 1613161504 2419742256 4839484512 10636783667 21273567334 31910351001 42547134668 63820702002 85094269336 127641404004 170188538672 255282808008 340377077344 510565616016 1021131232032