Search a number
-
+
55323343100 = 225217198871931
BaseRepresentation
bin110011100001100001…
…110011100011111100
312021210120122000112102
4303201201303203330
51401300233434400
641225403124232
73665651441324
oct634141634374
9167716560472
1055323343100
112150a648563
12a87b813678
1352a88b039c
14296b720284
15168bdbb9d5
hexce18738fc

55323343100 has 144 divisors (see below), whose sum is σ = 134023921920. Its totient is φ = 19698969600.

The previous prime is 55323343087. The next prime is 55323343109. The reversal of 55323343100 is 134332355.

It is a super-2 number, since 2×553233431002 (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55323343109) 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, 28649135 + ... + 28651065.

It is an arithmetic number, because the mean of its divisors is an integer number (930721680).

Almost surely, 255323343100 is an apocalyptic number.

55323343100 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 55323343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67011960960).

55323343100 is an abundant number, since it is smaller than the sum of its proper divisors (78700578820).

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

55323343100 is a wasteful number, since it uses less digits than its factorization.

55323343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 55323343100 its reverse (134332355), we get a palindrome (55457675455).

The spelling of 55323343100 in words is "fifty-five billion, three hundred twenty-three million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 887 950 1292 1615 1700 1774 1900 1931 3230 3548 3862 4435 6460 7724 8075 8870 9655 15079 16150 16853 17740 19310 22175 30158 32300 32827 33706 36689 38620 44350 48275 60316 65654 67412 73378 75395 84265 88700 96550 131308 146756 150790 164135 168530 183445 193100 286501 301580 328270 337060 366890 376975 421325 573002 623713 656540 733780 753950 820675 842650 917225 1146004 1247426 1432505 1507900 1641350 1685300 1712797 1834450 2494852 2865010 3118565 3282700 3425594 3668900 5730020 6237130 6851188 7162525 8563985 12474260 14325050 15592825 17127970 28650100 29117549 31185650 32543143 34255940 42819925 58235098 62371300 65086286 85639850 116470196 130172572 145587745 162715715 171279700 291175490 325431430 553233431 582350980 650862860 727938725 813578575 1106466862 1455877450 1627157150 2212933724 2766167155 2911754900 3254314300 5532334310 11064668620 13830835775 27661671550 55323343100