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102020021200020 = 223573111091413069
BaseRepresentation
bin10111001100100101100011…
…000111111010010010010100
3111101020000111200120201110110
4113030211203013322102110
5101332444000411400040
61000551203431323020
730326463142062000
oct2714454307722224
9441200450521413
10102020021200020
112a5634a2346960
12b5381b6820470
1344c05a6598621
141b29b1c705700
15bbdb95304980
hex5cc9631fa494

102020021200020 has 384 divisors, whose sum is σ = 363744815616000. Its totient is φ = 21179483404800.

The previous prime is 102020021200007. The next prime is 102020021200021. The reversal of 102020021200020 is 20002120020201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102020021199969 and 102020021200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020021200021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 246774046 + ... + 247187114.

It is an arithmetic number, because the mean of its divisors is an integer number (947252124000).

Almost surely, 2102020021200020 is an apocalyptic number.

102020021200020 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 102020021200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181872407808000).

102020021200020 is an abundant number, since it is smaller than the sum of its proper divisors (261724794415980).

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

102020021200020 is a wasteful number, since it uses less digits than its factorization.

102020021200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414204 (or 414188 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020021200020 its reverse (20002120020201), we get a palindrome (122022141220221).

The spelling of 102020021200020 in words is "one hundred two trillion, twenty billion, twenty-one million, two hundred thousand, twenty".