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133021232305 = 51329118159753
BaseRepresentation
bin111101111100010101…
…1101110110010110001
3110201100110220202012121
41323320223232302301
54134411413413210
6141035322354241
712416250550543
oct1737053566261
9421313822177
10133021232305
1151461021735
122194465b981
13c70bab1360
14661c83b693
1536d81ed6da
hex1ef8aeecb1

133021232305 has 32 divisors (see below), whose sum is σ = 177985654560. Its totient is φ = 94761891840.

The previous prime is 133021232303. The next prime is 133021232347. The reversal of 133021232305 is 503232120331.

It can be written as a sum of positive squares in 16 ways, for example, as 13791214096 + 119230018209 = 117436^2 + 345297^2 .

It is not a de Polignac number, because 133021232305 - 21 = 133021232303 is a prime.

It is a super-2 number, since 2×1330212323052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133021232305.

It is not an unprimeable number, because it can be changed into a prime (133021232303) 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 31 ways as a sum of consecutive naturals, for example, 2196309 + ... + 2256061.

It is an arithmetic number, because the mean of its divisors is an integer number (5562051705).

Almost surely, 2133021232305 is an apocalyptic number.

It is an amenable number.

133021232305 is a deficient number, since it is larger than the sum of its proper divisors (44964422255).

133021232305 is a wasteful number, since it uses less digits than its factorization.

133021232305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60981.

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 133021232305 its reverse (503232120331), we get a palindrome (636253352636).

The spelling of 133021232305 in words is "one hundred thirty-three billion, twenty-one million, two hundred thirty-two thousand, three hundred five".

Divisors: 1 5 13 29 65 145 377 1181 1885 5905 15353 34249 59753 76765 171245 298765 445237 776789 1732837 2226185 3883945 8664185 22526881 70568293 112634405 352841465 917387809 2046480497 4586939045 10232402485 26604246461 133021232305