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103023140220 = 22375711132181
BaseRepresentation
bin101111111110010101…
…0000101110101111100
3100211220212012210000000
41133330222011311330
53141442410441340
6115154515234300
710305003146250
oct1377452056574
9324825183000
10103023140220
113a7679710a0
1217b722a8990
13993ac36800
144db476c260
152a2e84ed30
hex17fca85d7c

103023140220 has 1152 divisors, whose sum is σ = 440470517760. Its totient is φ = 19651507200.

The previous prime is 103023140201. The next prime is 103023140237. The reversal of 103023140220 is 22041320301.

103023140220 is a `hidden beast` number, since 1 + 0 + 30 + 231 + 402 + 2 + 0 = 666.

It is a super-2 number, since 2×1030231402202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103023140193 and 103023140202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 569188530 + ... + 569188710.

It is an arithmetic number, because the mean of its divisors is an integer number (382352880).

Almost surely, 2103023140220 is an apocalyptic number.

103023140220 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 103023140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220235258880).

103023140220 is an abundant number, since it is smaller than the sum of its proper divisors (337447377540).

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

103023140220 is a wasteful number, since it uses less digits than its factorization.

103023140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103023140220 its reverse (22041320301), we get a palindrome (125064460521).

The spelling of 103023140220 in words is "one hundred three billion, twenty-three million, one hundred forty thousand, two hundred twenty".