Search a number
-
+
233303211030 = 235193733233329
BaseRepresentation
bin1101100101000111110…
…1000111110000010110
3211022012022011002112210
43121101331013300112
512310301110223110
6255102241254250
722566320400501
oct3312175076026
9738168132483
10233303211030
118aa416425aa
1239270934386
1319000b4bcc6
14b413100138
156107087520
hex3651f47c16

233303211030 has 128 divisors (see below), whose sum is σ = 605691302400. Its totient is φ = 57312313344.

The previous prime is 233303210957. The next prime is 233303211047. The reversal of 233303211030 is 30112303332.

It is a junction number, because it is equal to n+sod(n) for n = 233303210988 and 233303211006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70080406 + ... + 70083734.

It is an arithmetic number, because the mean of its divisors is an integer number (4731963300).

Almost surely, 2233303211030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233303211030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302845651200).

233303211030 is an abundant number, since it is smaller than the sum of its proper divisors (372388091370).

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

233303211030 is a wasteful number, since it uses less digits than its factorization.

233303211030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 233303211030 its reverse (30112303332), we get a palindrome (263415514362).

The spelling of 233303211030 in words is "two hundred thirty-three billion, three hundred three million, two hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 703 1110 1406 2109 3323 3329 3515 4218 6646 6658 7030 9969 9987 10545 16615 16645 19938 19974 21090 33230 33290 49845 49935 63137 63251 99690 99870 122951 123173 126274 126502 189411 189753 245902 246346 315685 316255 368853 369519 378822 379506 614755 615865 631370 632510 737706 739038 947055 948765 1229510 1231730 1844265 1847595 1894110 1897530 2336069 2340287 3688530 3695190 4672138 4680574 7008207 7020861 11062267 11680345 11701435 14016414 14041722 22124534 23360690 23402870 33186801 35041035 35104305 55311335 66373602 70082070 70208610 110622670 165934005 210183073 331868010 409303879 420366146 630549219 818607758 1050915365 1227911637 1261098438 2046519395 2101830730 2455823274 3152746095 4093038790 6139558185 6305492190 7776773701 12279116370 15553547402 23330321103 38883868505 46660642206 77767737010 116651605515 233303211030