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133333213322232 = 233272113435714629
BaseRepresentation
bin11110010100010000001110…
…110100010001101111111000
3122111002112022212221011202200
4132110100032310101233320
5114434012410102302412
61151324233235230200
740041002215364400
oct3624201664215770
9574075285834680
10133333213322232
1139536330a26840
1212b54a53448360
135952363c30381
1424cd50d2d7800
1510634822559dc
hex79440ed11bf8

133333213322232 has 144 divisors (see below), whose sum is σ = 458255617349400. Its totient is φ = 34632003450240.

The previous prime is 133333213322227. The next prime is 133333213322261. The reversal of 133333213322232 is 232223312333331.

It is a happy number.

133333213322232 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 321 + 3 + 322 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1717818507 + ... + 1717896122.

Almost surely, 2133333213322232 is an apocalyptic number.

133333213322232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133333213322232 is an abundant number, since it is smaller than the sum of its proper divisors (324922404027168).

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

133333213322232 is a wasteful number, since it uses less digits than its factorization.

133333213322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435714666 (or 3435714652 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

Adding to 133333213322232 its reverse (232223312333331), we get a palindrome (365556525655563).

The spelling of 133333213322232 in words is "one hundred thirty-three trillion, three hundred thirty-three billion, two hundred thirteen million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4312 4851 5544 6468 9702 12936 19404 38808 3435714629 6871429258 10307143887 13742858516 20614287774 24050002403 27485717032 30921431661 37792860919 41228575548 48100004806 61842863322 72150007209 75585721838 82457151096 96200009612 113378582757 123685726644 144300014418 151171443676 168350016821 192400019224 216450021627 226757165514 247371453288 264550026433 288600028836 302342887352 336700033642 340135748271 432900043254 453514331028 505050050463 529100052866 577200057672 673400067284 680271496542 793650079299 865800086508 907028662056 1010100100926 1058200105732 1346800134568 1360542993084 1515150151389 1587300158598 1731600173016 1851850185031 2020200201852 2116400211464 2380950237897 2721085986168 3030300302778 3174600317196 3703700370062 4040400403704 4761900475794 5555550555093 6060600605556 6349200634392 7407400740124 9523800951588 11111101110186 12121201211112 14814801480248 16666651665279 19047601903176 22222202220372 33333303330558 44444404440744 66666606661116 133333213322232