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120002232231 = 3276756350497
BaseRepresentation
bin110111111000010110…
…0001011111110100111
3102110202011101000112200
41233300230023332213
53431231032412411
6131043412145543
711445524100240
oct1576054137647
9373664330480
10120002232231
114699014a242
121b3106082b3
13b4157b940b
145b45767cc7
1531c5296e56
hex1bf0b0bfa7

120002232231 has 48 divisors (see below), whose sum is σ = 201416726784. Its totient is φ = 67427914752.

The previous prime is 120002232193. The next prime is 120002232253. The reversal of 120002232231 is 132232200021.

120002232231 is a `hidden beast` number, since 1 + 200 + 0 + 2 + 232 + 231 = 666.

It is not a de Polignac number, because 120002232231 - 213 = 120002224039 is a prime.

It is a super-2 number, since 2×1200022322312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002232131) 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 47 ways as a sum of consecutive naturals, for example, 2351175 + ... + 2401671.

It is an arithmetic number, because the mean of its divisors is an integer number (4196181808).

Almost surely, 2120002232231 is an apocalyptic number.

120002232231 is a deficient number, since it is larger than the sum of its proper divisors (81414494553).

120002232231 is a wasteful number, since it uses less digits than its factorization.

120002232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51140 (or 51137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120002232231 its reverse (132232200021), we get a palindrome (252234432252).

The spelling of 120002232231 in words is "one hundred twenty billion, two million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 67 201 469 563 603 1407 1689 3941 4221 5067 11823 35469 37721 50497 113163 151491 264047 339489 353479 454473 792141 1060437 2376423 3181311 3383299 10149897 23683093 28429811 30449691 71049279 85289433 199008677 213147837 255868299 597026031 1791078093 1904797337 5714392011 13333581359 17143176033 40000744077 120002232231