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3213552241053 = 327311503188143
BaseRepresentation
bin101110110000110110101…
…000111100100110011101
3102101012201222111010201100
4232300312220330212131
5410122323333203203
610500141401103313
7451112551233000
oct56606650744635
912335658433640
103213552241053
1110299505101a0
1243a984187b39
131a406276730b
14b1772c17537
15588d2851ea3
hex2ec36a3c99d

3213552241053 has 96 divisors (see below), whose sum is σ = 5917053542400. Its totient is φ = 1666050089760.

The previous prime is 3213552241033. The next prime is 3213552241057. The reversal of 3213552241053 is 3501422553123.

3213552241053 is a `hidden beast` number, since 3 + 2 + 13 + 552 + 2 + 41 + 0 + 53 = 666.

It is not a de Polignac number, because 3213552241053 - 29 = 3213552240541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3213552240999 and 3213552241017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213552241057) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16986300 + ... + 17174442.

It is an arithmetic number, because the mean of its divisors is an integer number (61635974400).

Almost surely, 23213552241053 is an apocalyptic number.

3213552241053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3213552241053 is a deficient number, since it is larger than the sum of its proper divisors (2703501301347).

3213552241053 is a wasteful number, since it uses less digits than its factorization.

3213552241053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188684 (or 188667 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 3213552241053 its reverse (3501422553123), we get a palindrome (6714974794176).

The spelling of 3213552241053 in words is "three trillion, two hundred thirteen billion, five hundred fifty-two million, two hundred forty-one thousand, fifty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 343 441 503 539 693 1029 1509 1617 3087 3521 3773 4527 4851 5533 10563 11319 16599 24647 31689 33957 38731 49797 73941 116193 172529 188143 221823 271117 348579 517587 564429 813351 1317001 1552761 1693287 1897819 2069573 2440053 3951003 5693457 6208719 9219007 11853009 14487011 17080371 18626157 27657021 43461033 64533049 82971063 94635929 101409077 130383099 193599147 283907787 304227231 580797441 662451503 709863539 851723361 912681693 1040995219 1987354509 2129590617 3122985657 4637160521 5962063527 6388771851 7286966533 9368956971 13911481563 21860899599 32460123647 41734444689 51008765731 65582698797 97380370941 153026297193 292141112823 357061360117 459078891579 1071184080351 3213552241053