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1001012022020 = 22564178082061
BaseRepresentation
bin11101001000100001111…
…01110100101100000100
310112200210020201110201002
432210100331310230010
5112400033034201040
62043505241352432
7132215003540363
oct16442075645404
93480706643632
101001012022020
1135658821002a
12142004a98718
1373519b54a3a
1436640a037da
151b08a51ea15
hexe910f74b04

1001012022020 has 24 divisors (see below), whose sum is σ = 2105404719768. Its totient is φ = 399780147200.

The previous prime is 1001012021993. The next prime is 1001012022077. The reversal of 1001012022020 is 202202101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 90899838016 + 910112184004 = 301496^2 + 953998^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001012021992 and 1001012022010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39028211 + ... + 39053850.

It is an arithmetic number, because the mean of its divisors is an integer number (87725196657).

Almost surely, 21001012022020 is an apocalyptic number.

1001012022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012022020 is an abundant number, since it is smaller than the sum of its proper divisors (1104392697748).

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

1001012022020 is a wasteful number, since it uses less digits than its factorization.

1001012022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78082711 (or 78082709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001012022020 its reverse (202202101001), we get a palindrome (1203214123021).

The spelling of 1001012022020 in words is "one trillion, one billion, twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 78082061 156164122 312328244 390410305 780820610 1561641220 50050601101 100101202202 200202404404 250253005505 500506011010 1001012022020