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201100411224020 = 225721132272812417
BaseRepresentation
bin101101101110011001010110…
…100100110011111111010100
3222101001000022102111011121102
4231232121112210303333110
5202324312120233132040
61551412130433005232
760234011442352100
oct5556312644637724
9871030272434542
10201100411224020
1159093229506000
121a67a7349b3818
1388298c2308479
143793451974900
15183b13abbe515
hexb6e656933fd4

201100411224020 has 576 divisors, whose sum is σ = 544885780578048. Its totient is φ = 62156714188800.

The previous prime is 201100411224017. The next prime is 201100411224023. The reversal of 201100411224020 is 20422114001102.

It is an interprime number because it is at equal distance from previous prime (201100411224017) and next prime (201100411224023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201100411223983 and 201100411224001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100411224023) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83202485852 + ... + 83202488268.

It is an arithmetic number, because the mean of its divisors is an integer number (945982257948).

Almost surely, 2201100411224020 is an apocalyptic number.

201100411224020 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 201100411224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272442890289024).

201100411224020 is an abundant number, since it is smaller than the sum of its proper divisors (343785369354028).

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

201100411224020 is a wasteful number, since it uses less digits than its factorization.

201100411224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201100411224020 its reverse (20422114001102), we get a palindrome (221522525225122).

The spelling of 201100411224020 in words is "two hundred one trillion, one hundred billion, four hundred eleven million, two hundred twenty-four thousand, twenty".