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5334231100 = 225211171092617
BaseRepresentation
bin1001111011111000…
…11110100000111100
3111202202022000102211
410331330132200330
541411030343400
62241151030204
7246121134112
oct47574364074
914682260384
105334231100
112298041860
12104a50b364
13670183483
14388625ab2
15213477dba
hex13df1e83c

5334231100 has 144 divisors (see below), whose sum is σ = 13498198560. Its totient is φ = 1808179200.

The previous prime is 5334231073. The next prime is 5334231103. The reversal of 5334231100 is 11324335.

It is a super-5 number, since 5×53342311005 (a number of 50 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5334231103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2036992 + ... + 2039608.

It is an arithmetic number, because the mean of its divisors is an integer number (93737490).

Almost surely, 25334231100 is an apocalyptic number.

5334231100 is a gapful number since it is divisible by the number (50) 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 5334231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749099280).

5334231100 is an abundant number, since it is smaller than the sum of its proper divisors (8163967460).

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

5334231100 is a wasteful number, since it uses less digits than its factorization.

5334231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 5334231100 is about 73035.8206635621. The cubic root of 5334231100 is about 1747.2589579001.

Adding to 5334231100 its reverse (11324335), we get a palindrome (5345555435).

The spelling of 5334231100 in words is "five billion, three hundred thirty-four million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 109 110 170 187 218 220 275 340 374 425 436 545 550 748 850 935 1090 1100 1199 1700 1853 1870 2180 2398 2617 2725 3706 3740 4675 4796 5234 5450 5995 7412 9265 9350 10468 10900 11990 13085 18530 18700 20383 23980 26170 28787 29975 37060 40766 44489 46325 52340 57574 59950 65425 81532 88978 92650 101915 115148 119900 130850 143935 177956 185300 203830 222445 261700 285253 287870 407660 444890 489379 509575 570506 575740 719675 889780 978758 1019150 1112225 1141012 1426265 1439350 1957516 2038300 2224450 2446895 2852530 2878700 3137783 4448900 4849301 4893790 5705060 6275566 7131325 9698602 9787580 12234475 12551132 14262650 15688915 19397204 24246505 24468950 28525300 31377830 48493010 48937900 53342311 62755660 78444575 96986020 106684622 121232525 156889150 213369244 242465050 266711555 313778300 484930100 533423110 1066846220 1333557775 2667115550 5334231100