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132223321130301 = 34115311597122081
BaseRepresentation
bin11110000100000110100100…
…000101100100010100111101
3122100011102111120221222210000
4132010012210011210110331
5114312321330202132201
61145114315525504513
736564551105410212
oct3604064405442475
9570142446858700
10132223321130301
11391486607a5615
12129b5922872139
1358a17b48b33bb
142491900131b09
1510446730ded86
hex7841a416453d

132223321130301 has 40 divisors (see below), whose sum is σ = 197708763064824. Its totient is φ = 88064113213440.

The previous prime is 132223321130279. The next prime is 132223321130353. The reversal of 132223321130301 is 103031123322231.

132223321130301 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 3 + 321 + 1 + 30 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32006683928025 + 100216637202276 = 5657445^2 + 10010826^2 .

It is not a de Polignac number, because 132223321130301 - 238 = 131948443223357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223121130301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1083017581 + ... + 1083139661.

Almost surely, 2132223321130301 is an apocalyptic number.

It is an amenable number.

132223321130301 is a deficient number, since it is larger than the sum of its proper divisors (65485441934523).

132223321130301 is a wasteful number, since it uses less digits than its factorization.

132223321130301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134843 (or 134834 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132223321130301 its reverse (103031123322231), we get a palindrome (235254444452532).

The spelling of 132223321130301 in words is "one hundred thirty-two trillion, two hundred twenty-three billion, three hundred twenty-one million, one hundred thirty thousand, three hundred one".

Divisors: 1 3 9 27 81 1153 3459 10377 11597 31131 34791 93393 104373 122081 313119 366243 939357 1098729 3296187 9888561 13371341 40114023 120342069 140759393 361026207 422278179 1083078621 1266834537 1415773357 3800503611 4247320071 11401510833 12741960213 38225880639 114677641917 1632386680621 4897160041863 14691480125589 44074440376767 132223321130301