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20000233123200 = 27325211233270953
BaseRepresentation
bin1001000110000101010101…
…10010100110110110000000
32121211000002122010101120100
410203002222302212312000
510110140434134420300
6110311551422442400
74132653264363231
oct443025262466600
977730078111510
1020000233123200
116411062213a40
1222b0219733400
13b21024697765
144d20331c3088
1524a3ba584700
hex1230aaca6d80

20000233123200 has 576 divisors, whose sum is σ = 78187602570480. Its totient is φ = 4827714355200.

The previous prime is 20000233123187. The next prime is 20000233123219. The reversal of 20000233123200 is 232133200002.

It is a happy number.

20000233123200 is a `hidden beast` number, since 200 + 0 + 0 + 233 + 1 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73678924 + ... + 73949876.

Almost surely, 220000233123200 is an apocalyptic number.

20000233123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000233123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39093801285240).

20000233123200 is an abundant number, since it is smaller than the sum of its proper divisors (58187369447280).

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

20000233123200 is a wasteful number, since it uses less digits than its factorization.

20000233123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271227 (or 271207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20000233123200 its reverse (232133200002), we get a palindrome (20232366323202).

The spelling of 20000233123200 in words is "twenty trillion, two hundred thirty-three million, one hundred twenty-three thousand, two hundred".