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42011101033200 = 243252137541119039
BaseRepresentation
bin10011000110101011110001…
…10000001111001011110000
312111202012222212022210000100
421203111320300033023300
521001302213331030300
6225203344450552400
711564126150552055
oct1143257060171360
9174665885283010
1042011101033200
1112427898340462
124866048898700
131a5982596c320
14a534c341902c
154ccc12594700
hex263578c0f2f0

42011101033200 has 360 divisors, whose sum is σ = 157026959631360. Its totient is φ = 10339735910400.

The previous prime is 42011101033123. The next prime is 42011101033277. The reversal of 42011101033200 is 233010111024.

42011101033200 is a `hidden beast` number, since 420 + 1 + 1 + 1 + 0 + 10 + 33 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (42011101033123) and next prime (42011101033277).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×420111010332002 (a number of 28 digits) contains 22 as substring.

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, 352859281 + ... + 352978319.

It is an arithmetic number, because the mean of its divisors is an integer number (436185998976).

Almost surely, 242011101033200 is an apocalyptic number.

42011101033200 is a gapful number since it is divisible by the number (40) 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 42011101033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78513479815680).

42011101033200 is an abundant number, since it is smaller than the sum of its proper divisors (115015858598160).

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

42011101033200 is a wasteful number, since it uses less digits than its factorization.

42011101033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126617 (or 126603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 42011101033200 its reverse (233010111024), we get a palindrome (42244111144224).

The spelling of 42011101033200 in words is "forty-two trillion, eleven billion, one hundred one million, thirty-three thousand, two hundred".