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1040024213130 = 235717910332003
BaseRepresentation
bin11110010001001100100…
…01100001011010001010
310200102111002001010011010
433020212101201122022
5114014432144310010
62113440332144350
7135065524644030
oct17104621413212
93612432033133
101040024213130
11371087611691
121496920080b6
13770c63780a6
14384a1d18550
151c0c0432620
hexf22646168a

1040024213130 has 128 divisors (see below), whose sum is σ = 3020866265088. Its totient is φ = 223704732672.

The previous prime is 1040024213093. The next prime is 1040024213131. The reversal of 1040024213130 is 313124200401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1040024213097 and 1040024213106.

It is not an unprimeable number, because it can be changed into a prime (1040024213131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32481709 + ... + 32513711.

It is an arithmetic number, because the mean of its divisors is an integer number (23600517696).

Almost surely, 21040024213130 is an apocalyptic number.

1040024213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040024213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510433132544).

1040024213130 is an abundant number, since it is smaller than the sum of its proper divisors (1980842051958).

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

1040024213130 is a wasteful number, since it uses less digits than its factorization.

1040024213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41140.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1040024213130 its reverse (313124200401), we get a palindrome (1353148413531).

The spelling of 1040024213130 in words is "one trillion, forty billion, twenty-four million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 9103 18206 27309 32003 45515 54618 63721 64006 91030 96009 127442 136545 154751 160015 191163 192018 224021 273090 309502 318605 320030 382326 448042 464253 480045 544051 637210 672063 773755 928506 955815 960090 1083257 1088102 1120105 1344126 1547510 1632153 1911630 2166514 2240210 2321265 2720255 3249771 3264306 3360315 3808357 4642530 5416285 5440510 6499542 6720630 7616714 8160765 10832570 11425071 16248855 16321530 19041785 22850142 32497710 38083570 57125355 114250710 291323309 582646618 873969927 1456616545 1747939854 2039263163 2913233090 4078526326 4369849635 4952496253 6117789489 8739699270 9904992506 10196315815 12235578978 14857488759 20392631630 24762481265 29714977518 30588947445 34667473771 49524962530 61177894890 69334947542 74287443795 104002421313 148574887590 173337368855 208004842626 346674737710 520012106565 1040024213130