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1031332414424 = 2313101269383953
BaseRepresentation
bin11110000001000000011…
…00111100001111011000
310122121001022212222211112
433000200030330033120
5113344132044230144
62105442040515452
7134340243611024
oct17004014741730
93577038788745
101031332414424
11368427296674
12147a6717bb88
137633c707830
1437cb980d384
151bc6233499e
hexf02033c3d8

1031332414424 has 128 divisors (see below), whose sum is σ = 2118667622400. Its totient is φ = 467817369600.

The previous prime is 1031332414417. The next prime is 1031332414433. The reversal of 1031332414424 is 4244142331301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1082195132 + ... + 1082196084.

It is an arithmetic number, because the mean of its divisors is an integer number (16552090800).

Almost surely, 21031332414424 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 1031332414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059333811200).

1031332414424 is an abundant number, since it is smaller than the sum of its proper divisors (1087335207976).

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

1031332414424 is a wasteful number, since it uses less digits than its factorization.

1031332414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1031332414424 its reverse (4244142331301), we get a palindrome (5275474745725).

The spelling of 1031332414424 in words is "one trillion, thirty-one billion, three hundred thirty-two million, four hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 101 104 202 269 383 404 538 766 808 953 1076 1313 1532 1906 2152 2626 3064 3497 3812 4979 5252 6994 7624 9958 10504 12389 13988 19916 24778 27169 27976 38683 39832 49556 54338 77366 96253 99112 103027 108676 154732 192506 206054 217352 256357 309464 353197 364999 385012 412108 502879 512714 706394 729998 770024 824216 1005758 1025428 1251289 1339351 1412788 1459996 2011516 2050856 2502578 2678702 2825576 2919992 3332641 4023032 4744987 5005156 5357404 6665282 9489974 10010312 10405727 10714808 13330564 18979948 20811454 25892057 26661128 36864899 37959896 41622908 51784114 73729798 83245816 98184731 103568228 135274451 147459596 196369462 207136456 270548902 294919192 336596741 392738924 479243687 541097804 673193482 785477848 958487374 1082195608 1276401503 1346386964 1916974748 2552803006 2692773928 3833949496 5105606012 9916657831 10211212024 19833315662 39666631324 79333262648 128916551803 257833103606 515666207212 1031332414424