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33102321112133 = 7213222917455817
BaseRepresentation
bin1111000011011001111000…
…00101110101010001000101
311100012112212200012002102222
413201230330011311101011
513314322023201042013
6154222555115142125
76654364242633500
oct741547405652105
9140175780162388
1033102321112133
11a602685323819
123867550444945
1315616c6606400
148262376aa137
153c61023e9508
hex1e1b3c175445

33102321112133 has 36 divisors (see below), whose sum is σ = 41878776638340. Its totient is φ = 26076475466496.

The previous prime is 33102321112127. The next prime is 33102321112193. The reversal of 33102321112133 is 33121112320133.

It can be written as a sum of positive squares in 6 ways, for example, as 356436462529 + 32745884649604 = 597023^2 + 5722402^2 .

It is not a de Polignac number, because 33102321112133 - 28 = 33102321111877 is a prime.

It is a super-2 number, since 2×331023211121332 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33102321112193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6831560 + ... + 10624257.

It is an arithmetic number, because the mean of its divisors is an integer number (1163299351065).

Almost surely, 233102321112133 is an apocalyptic number.

It is an amenable number.

33102321112133 is a deficient number, since it is larger than the sum of its proper divisors (8776455526207).

33102321112133 is a wasteful number, since it uses less digits than its factorization.

33102321112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17456086 (or 17456066 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 33102321112133 its reverse (33121112320133), we get a palindrome (66223433432266).

The spelling of 33102321112133 in words is "thirty-three trillion, one hundred two billion, three hundred twenty-one million, one hundred twelve thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 169 229 637 1183 1603 2977 8281 11221 20839 38701 145873 270907 1896349 17455817 122190719 226925621 855335033 1588479347 2950033073 3997382093 11119355429 20650231511 27981674651 51965967209 144551620577 195871722557 363761770463 675557573717 2546332393241 4728903016019 33102321112133