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101420112300 = 2235213233533203
BaseRepresentation
bin101111001110100011…
…1000001100110101100
3100200210010211112002120
41132131013001212230
53130202022043200
6114331452552540
710220166505413
oct1363507014654
9320703745076
10101420112300
113a015011531
12177a5482750
139743ab0790
144ca18ca47a
152988c539a0
hex179d1c19ac

101420112300 has 288 divisors, whose sum is σ = 330791827968. Its totient is φ = 23804436480.

The previous prime is 101420112281. The next prime is 101420112301. The reversal of 101420112300 is 3211024101.

It is a super-2 number, since 2×1014201123002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101420112300.

It is not an unprimeable number, because it can be changed into a prime (101420112301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31662499 + ... + 31665701.

It is an arithmetic number, because the mean of its divisors is an integer number (1148582736).

Almost surely, 2101420112300 is an apocalyptic number.

101420112300 is a gapful number since it is divisible by the number (10) 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 101420112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165395913984).

101420112300 is an abundant number, since it is smaller than the sum of its proper divisors (229371715668).

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

101420112300 is a wasteful number, since it uses less digits than its factorization.

101420112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101420112300 its reverse (3211024101), we get a palindrome (104631136401).

The spelling of 101420112300 in words is "one hundred one billion, four hundred twenty million, one hundred twelve thousand, three hundred".