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1040010313200 = 243524121138421
BaseRepresentation
bin11110010001001010111…
…00011111110111110000
310200102110002212221000220
433020211130133313300
5114014420120010300
62113435114213040
7135065265542325
oct17104534376760
93612402787026
101040010313200
1137107a788441
12149689424180
13770c351c391
14384a013ab4c
151c0be0d8da0
hexf22571fdf0

1040010313200 has 120 divisors (see below), whose sum is σ = 3412755955056. Its totient is φ = 270571776000.

The previous prime is 1040010313189. The next prime is 1040010313231. The reversal of 1040010313200 is 23130100401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1040010313200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10520011 + ... + 10618410.

Almost surely, 21040010313200 is an apocalyptic number.

1040010313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040010313200 is an abundant number, since it is smaller than the sum of its proper divisors (2372745641856).

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

1040010313200 is a wasteful number, since it uses less digits than its factorization.

1040010313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21138483 (or 21138472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1040010313200 its reverse (23130100401), we get a palindrome (1063140413601).

The spelling of 1040010313200 in words is "one trillion, forty billion, ten million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 21138421 42276842 63415263 84553684 105692105 126830526 169107368 211384210 253661052 317076315 338214736 422768420 507322104 528460525 634152630 845536840 866675261 1014644208 1056921050 1268305260 1585381575 1691073680 1733350522 2113842100 2536610520 2600025783 3170763150 3466701044 4227684200 4333376305 5073221040 5200051566 6341526300 6933402088 8455368400 8666752610 10400103132 12683052600 13000128915 13866804176 17333505220 20800206264 21666881525 25366105200 26000257830 34667010440 41600412528 43333763050 52000515660 65000644575 69334020880 86667526100 104001031320 130001289150 173335052200 208002062640 260002578300 346670104400 520005156600 1040010313200