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133002211220230 = 251131251283549091
BaseRepresentation
bin11110001111011011111101…
…100011011101101100000110
3122102220212221210002012010111
4132033123331203131230012
5114413102012033021410
61150512212231343234
740005043532056012
oct3617337543355406
9572825853065114
10133002211220230
1139418a14967440
1212b00877521b1a
13592a093244811
1424bb4aca13542
151059a5cec3b8a
hex78f6fd8ddb06

133002211220230 has 128 divisors (see below), whose sum is σ = 271623741161472. Its totient is φ = 46453014000000.

The previous prime is 133002211220189. The next prime is 133002211220239. The reversal of 133002211220230 is 32022112200331.

It is a super-2 number, since 2×1330022112202302 (a number of 29 digits) contains 22 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 (133002211220239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241947985 + ... + 242497075.

It is an arithmetic number, because the mean of its divisors is an integer number (2122060477824).

Almost surely, 2133002211220230 is an apocalyptic number.

133002211220230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133002211220230 is an abundant number, since it is smaller than the sum of its proper divisors (138621529941242).

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

133002211220230 is a wasteful number, since it uses less digits than its factorization.

133002211220230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549674.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 133002211220230 its reverse (32022112200331), we get a palindrome (165024323420561).

The spelling of 133002211220230 in words is "one hundred thirty-three trillion, two billion, two hundred eleven million, two hundred twenty thousand, two hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 251 283 310 341 502 566 682 1255 1415 1705 2510 2761 2830 3113 3410 5522 6226 7781 8773 13805 15562 15565 17546 27610 31130 38905 43865 71033 77810 85591 87730 96503 142066 171182 193006 355165 427955 482515 549091 710330 781363 855910 965030 1098182 1562726 2202023 2745455 3906815 4404046 5490910 6040001 7813630 11010115 12080002 17021821 22020230 24222253 30200005 34043642 48444506 60400010 85109105 121111265 137821841 155392753 170218210 187240031 242222530 275643682 310785506 374480062 689109205 776963765 936200155 1378218410 1516040251 1553927530 1709320283 1872400310 3032080502 3418640566 4272477071 4817175343 7580201255 8544954142 8546601415 9634350686 15160402510 17093202830 21362385355 24085876715 39003581003 42724770710 46997247781 48171753430 52988928773 78007162006 93994495562 105977857546 195017905015 234986238905 264944643865 390035810030 429039391033 469972477810 529889287730 858078782066 1209111011093 2145196955165 2418222022186 4290393910330 6045555055465 12091110110930 13300221122023 26600442244046 66501105610115 133002211220230