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101001002020020 = 22325191312577391187
BaseRepresentation
bin10110111101110000100000…
…110110001110110010110100
3111020121121020111012211211100
4112331300200312032302310
5101214300023004120040
6554451115250010100
730163036662004404
oct2675604066166264
9436547214184740
10101001002020020
112a200314605593
12b3b2807276930
134448479ba822b
141ad2690370804
15ba2403eb5b30
hex5bdc20d8ecb4

101001002020020 has 576 divisors, whose sum is σ = 326937273062400. Its totient is φ = 25167386050560.

The previous prime is 101001002020013. The next prime is 101001002020027. The reversal of 101001002020020 is 20020200100101.

It is an interprime number because it is at equal distance from previous prime (101001002020013) and next prime (101001002020027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001002019984 and 101001002020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001002020027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85089301867 + ... + 85089303053.

It is an arithmetic number, because the mean of its divisors is an integer number (567599432400).

Almost surely, 2101001002020020 is an apocalyptic number.

101001002020020 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 101001002020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163468636531200).

101001002020020 is an abundant number, since it is smaller than the sum of its proper divisors (225936271042380).

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

101001002020020 is a wasteful number, since it uses less digits than its factorization.

101001002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101001002020020 its reverse (20020200100101), we get a palindrome (121021202120121).

The spelling of 101001002020020 in words is "one hundred one trillion, one billion, two million, twenty thousand, twenty".