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323020023221232 = 2432311811310930497
BaseRepresentation
bin100100101110010001111010…
…1101111010100101111110000
31120100201102010210220101202100
41021130203311233110233300
5314314330001421034412
63103001203341020400
7125016266205366261
oct11134436557245760
91510642123811670
10323020023221232
1193a19027aa2757
123028b540254700
1310b31871663a3c
1459aa376d98968
15275275ac3eedc
hex125c8f5bd4bf0

323020023221232 has 240 divisors, whose sum is σ = 938426934332160. Its totient is φ = 103613014425600.

The previous prime is 323020023221221. The next prime is 323020023221243. The reversal of 323020023221232 is 232122320020323.

323020023221232 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 200 + 2 + 3 + 221 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (323020023221221) and next prime (323020023221243).

It is a junction number, because it is equal to n+sod(n) for n = 323020023221196 and 323020023221205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10591847008 + ... + 10591877504.

It is an arithmetic number, because the mean of its divisors is an integer number (3910112226384).

Almost surely, 2323020023221232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323020023221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469213467166080).

323020023221232 is an abundant number, since it is smaller than the sum of its proper divisors (615406911110928).

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

323020023221232 is a wasteful number, since it uses less digits than its factorization.

323020023221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43832 (or 43823 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 323020023221232 its reverse (232122320020323), we get a palindrome (555142343241555).

The spelling of 323020023221232 in words is "three hundred twenty-three trillion, twenty billion, twenty-three million, two hundred twenty-one thousand, two hundred thirty-two".