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633132145030121 = 1117231734219201683
BaseRepresentation
bin1000111111110101001001000…
…0100110011011001111101001
310002000201211201210001021102022
42033331102100212123033221
51130441214113111430441
610122320520405514225
7250234200526303112
oct21775222046331751
93060654653037368
10633132145030121
1117380a92016a770
125b015302412975
1321238149b76689
14b24ba8b829209
154d2e347a0d84b
hex23fd49099b3e9

633132145030121 has 64 divisors (see below), whose sum is σ = 767711662663680. Its totient is φ = 515044584637440.

The previous prime is 633132145030097. The next prime is 633132145030123. The reversal of 633132145030121 is 121030541231336.

It is not a de Polignac number, because 633132145030121 - 242 = 628734098519017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (633132145030123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3139143146 + ... + 3139344828.

It is an arithmetic number, because the mean of its divisors is an integer number (11995494729120).

Almost surely, 2633132145030121 is an apocalyptic number.

It is an amenable number.

633132145030121 is a deficient number, since it is larger than the sum of its proper divisors (134579517633559).

633132145030121 is a wasteful number, since it uses less digits than its factorization.

633132145030121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206126.

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 633132145030121 its reverse (121030541231336), we get a palindrome (754162686261457).

The spelling of 633132145030121 in words is "six hundred thirty-three trillion, one hundred thirty-two billion, one hundred forty-five million, thirty thousand, one hundred twenty-one".

Divisors: 1 11 17 23 173 187 253 391 1903 2941 3979 4219 4301 32351 43769 46409 67643 71723 97037 201683 729887 744073 788953 1067407 1649629 2218513 3428611 4638709 8028757 12408079 16787401 18145919 34891159 37714721 51025799 78858053 136488869 184661411 285385817 383802749 593149703 802496657 850900577 867438583 3139243987 6524646733 8827463227 9359906347 13642443169 14465309809 19570713271 147205799821 150066874859 159118407899 215277845981 332702125607 1619263798031 2502498596957 3385733395883 3659723381677 27527484566527 37243067354713 57557467730011 633132145030121