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133000213232300 = 2252471311381156419
BaseRepresentation
bin11110001111011010000110…
…011101101111101010101100
3122102220200210112111212221112
4132033122012131233222230
5114413033414041413200
61150511242055451152
740004643161334221
oct3617320635575254
9572820715455845
10133000213232300
113941808a074547
1212b003ba386ab8
135929b3532323b
1424bb35d51d948
1510599928ac535
hex78f68676faac

133000213232300 has 144 divisors (see below), whose sum is σ = 297218081825280. Its totient is φ = 51632956128000.

The previous prime is 133000213232209. The next prime is 133000213232353. The reversal of 133000213232300 is 3232312000331.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850203491 + ... + 850359909.

It is an arithmetic number, because the mean of its divisors is an integer number (2064014457120).

Almost surely, 2133000213232300 is an apocalyptic number.

133000213232300 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 133000213232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148609040912640).

133000213232300 is an abundant number, since it is smaller than the sum of its proper divisors (164217868592980).

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

133000213232300 is a wasteful number, since it uses less digits than its factorization.

133000213232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157992 (or 157985 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133000213232300 its reverse (3232312000331), we get a palindrome (136232525232631).

The spelling of 133000213232300 in words is "one hundred thirty-three trillion, two hundred thirteen million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 131 188 235 262 470 524 655 940 1175 1310 1381 2350 2620 2762 3275 4700 5524 6157 6550 6905 12314 13100 13810 24628 27620 30785 34525 61570 64907 69050 123140 129814 138100 153925 156419 180911 259628 307850 312838 324535 361822 615700 625676 649070 723644 782095 904555 1298140 1564190 1622675 1809110 3128380 3245350 3618220 3910475 4522775 6490700 7351693 7820950 8502817 9045550 14703386 15641900 17005634 18091100 20490889 29406772 34011268 36758465 40981778 42514085 73516930 81963556 85028170 102454445 147033860 170056340 183792325 204908890 212570425 216014639 367584650 409817780 425140850 432029278 512272225 735169300 850281700 864058556 963071783 1024544450 1080073195 1926143566 2049088900 2160146390 3852287132 4320292780 4815358915 5400365975 9630717830 10152688033 10800731950 19261435660 20305376066 21601463900 24076794575 28297917709 40610752132 48153589150 50763440165 56595835418 96307178300 101526880330 113191670836 141489588545 203053760660 253817200825 282979177090 507634401650 565958354180 707447942725 1015268803300 1330002132323 1414895885450 2660004264646 2829791770900 5320008529292 6650010661615 13300021323230 26600042646460 33250053308075 66500106616150 133000213232300