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1032022424420 = 2251317388725867
BaseRepresentation
bin11110000010010010101…
…01000111101101100100
310122122211102021010121022
433001021111013231210
5113402040220040140
62110034330110312
7134363322604001
oct17011125075544
93578742233538
101032022424420
11368750832369
1214801a27b398
137641c659a80
1437d433068a8
151bca2bd20b5
hexf049547b64

1032022424420 has 96 divisors (see below), whose sum is σ = 2350186852608. Its totient is φ = 378410061312.

The previous prime is 1032022424401. The next prime is 1032022424443. The reversal of 1032022424420 is 244242202301.

It is a super-2 number, since 2×10320224244202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1032022424420.

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 31 ways as a sum of consecutive naturals, for example, 39884327 + ... + 39910193.

It is an arithmetic number, because the mean of its divisors is an integer number (24481113048).

Almost surely, 21032022424420 is an apocalyptic number.

1032022424420 is a gapful number since it is divisible by the number (10) 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 1032022424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175093426304).

1032022424420 is an abundant number, since it is smaller than the sum of its proper divisors (1318164428188).

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

1032022424420 is a wasteful number, since it uses less digits than its factorization.

1032022424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26949 (or 26947 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 1032022424420 its reverse (244242202301), we get a palindrome (1276264626721).

The spelling of 1032022424420 in words is "one trillion, thirty-two billion, twenty-two million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 887 1730 1774 2249 3460 3548 4435 4498 8870 8996 11245 11531 17740 22490 23062 25867 44980 46124 51734 57655 103468 115310 129335 153451 230620 258670 306902 336271 517340 613804 672542 767255 1345084 1534510 1681355 1994863 3069020 3362710 3989726 4474991 6725420 7979452 8949982 9974315 17899964 19948630 22374955 22944029 39897260 44749910 45888058 58174883 89499820 91776116 114720145 116349766 229440290 232699532 290874415 298272377 458880580 581748830 596544754 1163497660 1193089508 1491361885 2982723770 3969317017 5965447540 7938634034 15877268068 19846585085 39693170170 51601121221 79386340340 103202242442 206404484884 258005606105 516011212210 1032022424420