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223000133100030 = 23351113291131762499
BaseRepresentation
bin110010101101000101000011…
…101101111110000111111110
31002020120121022200211000121000
4302231011003231332013332
5213212113233033200110
62110140502531551130
764654141120045326
oct6255050355760776
91066517280730530
10223000133100030
1165066909596090
1221016b0545b4a6
139757a8c835310
143d0d39a704286
151abab2a1ab1c0
hexcad143b7e1fe

223000133100030 has 512 divisors, whose sum is σ = 729116640000000. Its totient is φ = 47754953809920.

The previous prime is 223000133099999. The next prime is 223000133100037. The reversal of 223000133100030 is 30001331000322.

223000133100030 is a `hidden beast` number, since 2 + 2 + 300 + 0 + 1 + 331 + 0 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223000133099976 and 223000133100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223000133100037) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125643721 + ... + 127406219.

It is an arithmetic number, because the mean of its divisors is an integer number (1424055937500).

Almost surely, 2223000133100030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223000133100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364558320000000).

223000133100030 is an abundant number, since it is smaller than the sum of its proper divisors (506116506899970).

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

223000133100030 is a wasteful number, since it uses less digits than its factorization.

223000133100030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762681 (or 1762675 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 223000133100030 its reverse (30001331000322), we get a palindrome (253001464100352).

It can be divided in two parts, 2 and 23000133100030, that added together give a palindrome (23000133100032).

The spelling of 223000133100030 in words is "two hundred twenty-three trillion, one hundred thirty-three million, one hundred thousand, thirty".