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1021432013312 = 2919787133417
BaseRepresentation
bin11101101110100100001…
…01111010001000000000
310121122111100112111200212
432313102011322020000
5113213343043411222
62101123412533252
7133540015600604
oct16672205721000
93548440474625
101021432013312
11364206819797
12145b63621228
1375422550419
143761a9b5504
151b88309c6e2
hexedd217a200

1021432013312 has 80 divisors (see below), whose sum is σ = 2151029036640. Its totient is φ = 483217809408.

The previous prime is 1021432013299. The next prime is 1021432013323. The reversal of 1021432013312 is 2133102341201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7589228 + ... + 7722644.

It is an arithmetic number, because the mean of its divisors is an integer number (26887862958).

Almost surely, 21021432013312 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 1021432013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075514518320).

1021432013312 is an abundant number, since it is smaller than the sum of its proper divisors (1129597023328).

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

1021432013312 is an equidigital number, since it uses as much as digits as its factorization.

1021432013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134241 (or 134225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1021432013312 its reverse (2133102341201), we get a palindrome (3154534354513).

The spelling of 1021432013312 in words is "one trillion, twenty-one billion, four hundred thirty-two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 787 1216 1574 2432 3148 4864 6296 9728 12592 14953 25184 29906 50368 59812 100736 119624 133417 201472 239248 266834 402944 478496 533668 956992 1067336 1913984 2134672 2534923 3827968 4269344 5069846 7655936 8538688 10139692 17077376 20279384 34154752 40558768 68309504 81117536 104999179 162235072 209998358 324470144 419996716 648940288 839993432 1297880576 1679986864 1994984401 3359973728 3989968802 6719947456 7979937604 13439894912 15959875208 26879789824 31919750416 53759579648 63839500832 127679001664 255358003328 510716006656 1021432013312