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103011210322020 = 223257111337110913933
BaseRepresentation
bin10111011011000000101010…
…100110010110000001100100
3111111201202221100210011112200
4113123000222212112001210
5102000213424320301040
61003030410254214500
730461212551440040
oct2733005246260144
9444652840704480
10103011210322020
112a9058998037a0
12b678319ab4430
134562bb932ca90
141b61aaa8c7020
15bd985829a630
hex5db02a996064

103011210322020 has 1152 divisors, whose sum is σ = 431294870522880. Its totient is φ = 19205669928960.

The previous prime is 103011210321961. The next prime is 103011210322037. The reversal of 103011210322020 is 20223012110301.

103011210322020 is a `hidden beast` number, since 1 + 0 + 301 + 1 + 21 + 0 + 322 + 0 + 20 = 666.

It is a super-2 number, since 2×1030112103220202 (a number of 29 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 = 103011210321984 and 103011210322002.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7393318974 + ... + 7393332906.

It is an arithmetic number, because the mean of its divisors is an integer number (374387908440).

Almost surely, 2103011210322020 is an apocalyptic number.

103011210322020 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 103011210322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215647435261440).

103011210322020 is an abundant number, since it is smaller than the sum of its proper divisors (328283660200860).

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

103011210322020 is a wasteful number, since it uses less digits than its factorization.

103011210322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15125 (or 15120 counting only the distinct ones).

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

Adding to 103011210322020 its reverse (20223012110301), we get a palindrome (123234222432321).

The spelling of 103011210322020 in words is "one hundred three trillion, eleven billion, two hundred ten million, three hundred twenty-two thousand, twenty".