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332023233032101 = 13171873802118297
BaseRepresentation
bin100101101111110010010111…
…0110111001010111110100101
31121112121002222222112111211201
41023133210232313022332211
5322004332040124011401
63134053211221002501
7126635613143165662
oct11337445667127645
91545532888474751
10332023233032101
119687a298245236
12312a43b0b53431
131133586c5189b0
145bdc0200a0a69
15285ba46106b01
hex12df92edcafa5

332023233032101 has 16 divisors (see below), whose sum is σ = 378798761993904. Its totient is φ = 288300566421504.

The previous prime is 332023233032081. The next prime is 332023233032159. The reversal of 332023233032101 is 101230332320233.

It can be written as a sum of positive squares in 8 ways, for example, as 127255862039076 + 204767370993025 = 11280774^2 + 14309695^2 .

It is not a de Polignac number, because 332023233032101 - 227 = 332023098814373 is a prime.

It is a super-2 number, since 2×3320232330321012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332023233032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332023233032201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400645216 + ... + 401473081.

It is an arithmetic number, because the mean of its divisors is an integer number (23674922624619).

Almost surely, 2332023233032101 is an apocalyptic number.

It is an amenable number.

332023233032101 is a deficient number, since it is larger than the sum of its proper divisors (46775528961803).

332023233032101 is a wasteful number, since it uses less digits than its factorization.

332023233032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802120200.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 332023233032101 its reverse (101230332320233), we get a palindrome (433253565352334).

The spelling of 332023233032101 in words is "three hundred thirty-two trillion, twenty-three billion, two hundred thirty-three million, thirty-two thousand, one hundred one".

Divisors: 1 13 17 221 1873 24349 31841 413933 802118297 10427537861 13636011049 177268143637 1502367570281 19530778413653 25540248694777 332023233032101