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133223023202031 = 3279472233000171
BaseRepresentation
bin11110010010101001100110…
…111110010100111011101111
3122110200222220112210002111200
4132102221212332110323233
5114430211222414431111
61151201451214420543
740030021464665550
oct3622514676247357
9573628815702450
10133223023202031
11394a36265315a4
1212b37620b01753
135944b53228109
1424c8058b84327
151060683606256
hex792a66f94eef

133223023202031 has 24 divisors (see below), whose sum is σ = 220155952957824. Its totient is φ = 76047053789520.

The previous prime is 133223023202029. The next prime is 133223023202063. The reversal of 133223023202031 is 130202320322331.

133223023202031 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 302 + 320 + 2 + 0 + 31 = 666.

It is not a de Polignac number, because 133223023202031 - 21 = 133223023202029 is a prime.

It is a super-2 number, since 2×1332230232020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133223023201986 and 133223023202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133223023202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1116440425 + ... + 1116559746.

It is an arithmetic number, because the mean of its divisors is an integer number (9173164706576).

Almost surely, 2133223023202031 is an apocalyptic number.

133223023202031 is a deficient number, since it is larger than the sum of its proper divisors (86932929755793).

133223023202031 is a wasteful number, since it uses less digits than its factorization.

133223023202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233001131 (or 2233001128 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133223023202031 its reverse (130202320322331), we get a palindrome (263425343524362).

The spelling of 133223023202031 in words is "one hundred thirty-three trillion, two hundred twenty-three billion, twenty-three million, two hundred two thousand, thirty-one".

Divisors: 1 3 7 9 21 63 947 2841 6629 8523 19887 59661 2233000171 6699000513 15631001197 20097001539 46893003591 140679010773 2114651161937 6343953485811 14802558133559 19031860457433 44407674400677 133223023202031