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103031312220 = 2232537107163887
BaseRepresentation
bin101111111110100100…
…1010000111101011100
3100211221102120221212200
41133331021100331130
53142002003442340
6115155410331500
710305132463314
oct1377511207534
9324842527780
10103031312220
113a771542911
1217b74b89b90
13993c838305
144db5898444
152a30416330
hex17fd250f5c

103031312220 has 288 divisors, whose sum is σ = 326329855488. Its totient is φ = 26290469376.

The previous prime is 103031312173. The next prime is 103031312239. The reversal of 103031312220 is 22213130301.

103031312220 is a `hidden beast` number, since 10 + 303 + 131 + 2 + 220 = 666.

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 = 103031312193 and 103031312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116156617 + ... + 116157503.

It is an arithmetic number, because the mean of its divisors is an integer number (1133089776).

Almost surely, 2103031312220 is an apocalyptic number.

103031312220 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 103031312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163164927744).

103031312220 is an abundant number, since it is smaller than the sum of its proper divisors (223298543268).

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

103031312220 is a wasteful number, since it uses less digits than its factorization.

103031312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103031312220 its reverse (22213130301), we get a palindrome (125244442521).

The spelling of 103031312220 in words is "one hundred three billion, thirty-one million, three hundred twelve thousand, two hundred twenty".