Search a number
-
+
2131433300 = 22521929101383
BaseRepresentation
bin111111100001011…
…0001011101010100
312111112200000211002
41333002301131110
513331121331200
6551300002432
7103550612153
oct17702613524
95445600732
102131433300
119a4158427
124b5990418
1327c775349
1416310d59a
15c71c5bd5
hex7f0b1754

2131433300 has 144 divisors (see below), whose sum is σ = 5099673600. Its totient is φ = 770112000.

The previous prime is 2131433263. The next prime is 2131433333. The reversal of 2131433300 is 33341312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 5564909 + ... + 5565291.

It is an arithmetic number, because the mean of its divisors is an integer number (35414400).

Almost surely, 22131433300 is an apocalyptic number.

2131433300 is a gapful number since it is divisible by the number (20) 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 2131433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549836800).

2131433300 is an abundant number, since it is smaller than the sum of its proper divisors (2968240300).

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

2131433300 is a wasteful number, since it uses less digits than its factorization.

2131433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 2131433300 is about 46167.4484891682. The cubic root of 2131433300 is about 1286.9368863702.

Adding to 2131433300 its reverse (33341312), we get a palindrome (2164774612).

The spelling of 2131433300 in words is "two billion, one hundred thirty-one million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 101 116 145 190 202 290 380 383 404 475 505 551 580 725 766 950 1010 1102 1450 1532 1900 1915 1919 2020 2204 2525 2755 2900 2929 3830 3838 5050 5510 5858 7277 7660 7676 9575 9595 10100 11020 11107 11716 13775 14554 14645 19150 19190 22214 27550 29108 29290 36385 38300 38380 38683 44428 47975 55100 55535 55651 58580 72770 73225 77366 95950 111070 111302 145540 146450 154732 181925 191900 193415 211033 222140 222604 277675 278255 292900 363850 386830 422066 555350 556510 727700 734977 773660 844132 967075 1055165 1110700 1113020 1121807 1391275 1469954 1934150 2110330 2243614 2782550 2939908 3674885 3868300 4220660 4487228 5275825 5565100 5609035 7349770 10551650 11218070 14699540 18374425 21103300 21314333 22436140 28045175 36748850 42628666 56090350 73497700 85257332 106571665 112180700 213143330 426286660 532858325 1065716650 2131433300