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1031200332032 = 28132416591951
BaseRepresentation
bin11110000000110000101…
…01000101100100000000
310122120201010100111212002
433000120111011210000
5113343344241111112
62105421001523132
7134334051125123
oct17003025054400
93576633314762
101031200332032
11368369782172
12147a2aaa34a8
137631b240280
1437ca606a3ba
151bc559441c2
hexf018545900

1031200332032 has 144 divisors (see below), whose sum is σ = 2230427189760. Its totient is φ = 473001984000.

The previous prime is 1031200332007. The next prime is 1031200332061. The reversal of 1031200332032 is 2302330021301.

It is a junction number, because it is equal to n+sod(n) for n = 1031200331995 and 1031200332013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528548657 + ... + 528550607.

Almost surely, 21031200332032 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 1031200332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115213594880).

1031200332032 is an abundant number, since it is smaller than the sum of its proper divisors (1199226857728).

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

1031200332032 is a wasteful number, since it uses less digits than its factorization.

1031200332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1031200332032 its reverse (2302330021301), we get a palindrome (3333530353333).

The spelling of 1031200332032 in words is "one trillion, thirty-one billion, two hundred million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 241 256 416 482 659 832 964 1318 1664 1928 1951 2636 3133 3328 3856 3902 5272 6266 7712 7804 8567 10544 12532 15424 15608 17134 21088 25064 25363 30848 31216 34268 42176 50128 50726 61696 62432 68536 84352 100256 101452 124864 137072 158819 168704 200512 202904 249728 274144 317638 401024 405808 470191 499456 548288 635276 802048 811616 940382 1096576 1270552 1285709 1623232 1880764 2064647 2193152 2541104 2571418 3246464 3761528 4129294 5082208 5142836 6112483 6492928 7523056 8258588 10164416 10285672 12224966 15046112 16517176 16714217 20328832 20571344 24449932 30092224 33034352 33428434 40657664 41142688 48899864 60184448 66068704 66856868 82285376 97799728 120368896 132137408 133713736 164570752 195599456 264274816 267427472 309855869 329141504 391198912 528549632 534854944 619711738 782397824 1069709888 1239423476 1564795648 2139419776 2478846952 4028126297 4278839552 4957693904 8056252594 9915387808 16112505188 19830775616 32225010376 39661551232 64450020752 79323102464 128900041504 257800083008 515600166016 1031200332032