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1031202010020 = 22357213211112781
BaseRepresentation
bin11110000000110000110…
…11011111001110100100
310122120201020111202121210
433000120123133032210
5113343400203310040
62105421101511420
7134334101314200
oct17003033371644
93576636452553
101031202010020
1136836a718936
12147a2b572570
137631b6a9c70
1437ca6385b00
151bc55b76480
hexf0186df3a4

1031202010020 has 288 divisors, whose sum is σ = 3619135973376. Its totient is φ = 217452211200.

The previous prime is 1031202010001. The next prime is 1031202010021. The reversal of 1031202010020 is 200102021301.

1031202010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1031202009978 and 1031202010005.

It is not an unprimeable number, because it can be changed into a prime (1031202010021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80676030 + ... + 80688810.

It is an arithmetic number, because the mean of its divisors is an integer number (12566444352).

Almost surely, 21031202010020 is an apocalyptic number.

1031202010020 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 1031202010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809567986688).

1031202010020 is an abundant number, since it is smaller than the sum of its proper divisors (2587933963356).

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

1031202010020 is a wasteful number, since it uses less digits than its factorization.

1031202010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14931 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1031202010020 its reverse (200102021301), we get a palindrome (1231304031321).

The spelling of 1031202010020 in words is "one trillion, thirty-one billion, two hundred two million, ten thousand, twenty".