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10551234400 = 255273160779
BaseRepresentation
bin10011101001110011…
…10000111101100000
31000020100000020120021
421310321300331200
5133102104000100
64502553323224
7522320004220
oct116471607540
930210006507
1010551234400
114524995633
122065706514
13cc1c70785
14721454080
1541b496a1a
hex274e70f60

10551234400 has 144 divisors (see below), whose sum is σ = 30388055040. Its totient is φ = 3500812800.

The previous prime is 10551234359. The next prime is 10551234439. The reversal of 10551234400 is 443215501.

It is a happy number.

10551234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105512344002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 143211 + ... + 203989.

It is an arithmetic number, because the mean of its divisors is an integer number (211028160).

Almost surely, 210551234400 is an apocalyptic number.

10551234400 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 10551234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194027520).

10551234400 is an abundant number, since it is smaller than the sum of its proper divisors (19836820640).

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

10551234400 is a wasteful number, since it uses less digits than its factorization.

10551234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60837 (or 60824 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10551234400 its reverse (443215501), we get a palindrome (10994449901).

The spelling of 10551234400 in words is "ten billion, five hundred fifty-one million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 350 400 434 496 560 620 700 775 800 868 992 1085 1120 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 4960 5425 5600 6200 6944 8680 10850 12400 17360 21700 24800 34720 43400 60779 86800 121558 173600 243116 303895 425453 486232 607790 850906 972464 1215580 1519475 1701812 1884149 1944928 2127265 2431160 3038950 3403624 3768298 4254530 4862320 6077900 6807248 7536596 8509060 9420745 9724640 10636325 12155800 13189043 13614496 15073192 17018120 18841490 21272650 24311600 26378086 30146384 34036240 37682980 42545300 47103725 48623200 52756172 60292768 65945215 68072480 75365960 85090600 94207450 105512344 131890430 150731920 170181200 188414900 211024688 263780860 301463840 329726075 340362400 376829800 422049376 527561720 659452150 753659600 1055123440 1318904300 1507319200 2110246880 2637808600 5275617200 10551234400