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32213204401133 = 72317910114391847
BaseRepresentation
bin1110101001100001110001…
…00110101111101111101101
311020001112220121020101001102
413110300320212233233231
513210240120311314013
6152302313010252445
76533220143403500
oct724607046575755
9136045817211042
1032213204401133
11a29a5a80a7048
123743174b87125
1314c88cc82caa2
147d51ad893137
153ace155a5d58
hex1d4c389afbed

32213204401133 has 96 divisors (see below), whose sum is σ = 39607684300800. Its totient is φ = 26088897744000.

The previous prime is 32213204401109. The next prime is 32213204401151. The reversal of 32213204401133 is 33110440231223.

It is not a de Polignac number, because 32213204401133 - 220 = 32213203352557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32213204401096 and 32213204401105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213204401633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17440824416 + ... + 17440826262.

It is an arithmetic number, because the mean of its divisors is an integer number (412580044800).

Almost surely, 232213204401133 is an apocalyptic number.

It is an amenable number.

32213204401133 is a deficient number, since it is larger than the sum of its proper divisors (7394479899667).

32213204401133 is a wasteful number, since it uses less digits than its factorization.

32213204401133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 32213204401133 its reverse (33110440231223), we get a palindrome (65323644632356).

The spelling of 32213204401133 in words is "thirty-two trillion, two hundred thirteen billion, two hundred four million, four hundred one thousand, one hundred thirty-three".

Divisors: 1 7 31 49 79 101 217 553 707 1439 1519 1847 2449 3131 3871 4949 7979 10073 12929 17143 21917 44609 55853 57257 70511 90503 113681 120001 145339 145913 153419 186547 247349 312263 390971 400799 795767 1017373 1021391 1305829 1731443 2185841 2657833 2805593 3524111 4505509 4523303 5570369 5782957 7121611 7149737 9140803 11481781 12120101 14737213 18604831 24668777 31538563 31663121 40480699 80372467 82392823 103160491 130233817 172681439 209968807 220769941 221641847 268441133 283364893 355935211 456853603 562607269 576749761 722123437 1469781649 1879087931 2491546477 3197975221 4037248327 6509033017 8321675123 10288471543 13153615517 17440825339 21206849507 22385826547 45563231119 58251725861 148447946549 318942617833 407762081027 657412334717 1039135625843 4601886343019 32213204401133