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323133133101030 = 232572918461958049
BaseRepresentation
bin100100101111000110100101…
…1100111010001011111100110
31120101010020002122002122012200
41021132031023213101133212
5314323203124033213110
63103125151222155330
7125030412161453550
oct11136151347213746
91511106078078180
10323133133101030
1193a61aa063255a
12302a9448582b46
1310b3c4292378b5
1459b1a271c84d0
15275567ad836c0
hex125e34b9d17e6

323133133101030 has 192 divisors, whose sum is σ = 993331072656000. Its totient is φ = 71308202434560.

The previous prime is 323133133101029. The next prime is 323133133101067. The reversal of 323133133101030 is 30101331331323.

323133133101030 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 3 + 313 + 310 + 1 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 323133133100985 and 323133133101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336803446 + ... + 337761494.

It is an arithmetic number, because the mean of its divisors is an integer number (5173599336750).

Almost surely, 2323133133101030 is an apocalyptic number.

323133133101030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323133133101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496665536328000).

323133133101030 is an abundant number, since it is smaller than the sum of its proper divisors (670197939554970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323133133101030 is a wasteful number, since it uses less digits than its factorization.

323133133101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976559 (or 976556 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 323133133101030 its reverse (30101331331323), we get a palindrome (353234464432353).

The spelling of 323133133101030 in words is "three hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred one thousand, thirty".