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2233113213042 = 2322947285731859
BaseRepresentation
bin100000011111101111111…
…010110111100001110010
321220111001111111001021100
4200133233322313201302
5243041403440304132
64425513354105230
7320223425056545
oct40375772674162
97814044431240
102233113213042
11791070212058
1230096111b216
13132773c1b81a
147a12465285c
153d14d53437c
hex207efeb7872

2233113213042 has 96 divisors (see below), whose sum is σ = 5113698220800. Its totient is φ = 703143270144.

The previous prime is 2233113212989. The next prime is 2233113213059. The reversal of 2233113213042 is 2403123113322.

2233113213042 is a `hidden beast` number, since 2 + 2 + 3 + 31 + 1 + 321 + 304 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2233113212997 and 2233113213015.

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, 70077709 + ... + 70109567.

It is an arithmetic number, because the mean of its divisors is an integer number (53267689800).

Almost surely, 22233113213042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233113213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556849110400).

2233113213042 is an abundant number, since it is smaller than the sum of its proper divisors (2880585007758).

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

2233113213042 is a wasteful number, since it uses less digits than its factorization.

2233113213042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34800 (or 34797 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2233113213042 its reverse (2403123113322), we get a palindrome (4636236326364).

The spelling of 2233113213042 in words is "two trillion, two hundred thirty-three billion, one hundred thirteen million, two hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 174 261 282 423 522 846 1363 2726 2857 4089 5714 8178 8571 12267 17142 24534 25713 31859 51426 63718 82853 95577 134279 165706 191154 248559 268558 286731 402837 497118 573462 745677 805674 923911 1208511 1491354 1497373 1847822 2417022 2771733 2994746 3894091 4492119 5543466 7788182 8315199 8984238 11682273 13476357 16630398 23364546 26952714 35046819 43423817 70093638 86847634 91021163 130271451 182042326 260542902 273063489 390814353 546126978 781628706 819190467 1638380934 2639613727 4277994661 5279227454 7918841181 8555989322 12833983983 15837682362 23756523543 25667967966 38501951949 47513047086 77003903898 124061845169 248123690338 372185535507 744371071014 1116556606521 2233113213042