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2022022100020 = 2251397397201953
BaseRepresentation
bin11101011011001001111…
…010001011010000110100
321011022012012022102222011
4131123021322023100310
5231112100124200040
64144523143014004
7266041410160216
oct35331172132064
97138165272864
102022022100020
1170a59784154a
12287a6b13a304
131188a2b535a0
146dc1b5445b6
15378e65243ea
hex1d6c9e8b434

2022022100020 has 96 divisors (see below), whose sum is σ = 4631684123808. Its totient is φ = 737031094272.

The previous prime is 2022022099987. The next prime is 2022022100099. The reversal of 2022022100020 is 200012202202.

It can be written as a sum of positive squares in 16 ways, for example, as 490081203364 + 1531940896656 = 700058^2 + 1237716^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9911364 + ... + 10113316.

It is an arithmetic number, because the mean of its divisors is an integer number (48246709623).

Almost surely, 22022022100020 is an apocalyptic number.

2022022100020 is a gapful number since it is divisible by the number (20) 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 2022022100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315842061904).

2022022100020 is an abundant number, since it is smaller than the sum of its proper divisors (2609662023788).

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

2022022100020 is a wasteful number, since it uses less digits than its factorization.

2022022100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202469 (or 202467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2022022100020 its reverse (200012202202), we get a palindrome (2222034302222).

The spelling of 2022022100020 in words is "two trillion, twenty-two billion, twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 397 485 794 970 1261 1588 1940 1985 2522 3970 5044 5161 6305 7940 10322 12610 20644 25220 25805 38509 51610 77018 103220 154036 192545 201953 385090 403906 500617 770180 807812 1001234 1009765 2002468 2019530 2503085 2625389 4039060 5006170 5250778 10012340 10501556 13126945 19589441 26253890 39178882 52507780 78357764 80175341 97947205 160350682 195894410 254662733 320701364 391788820 400876705 509325466 801753410 1018650932 1042279433 1273313665 1603506820 2084558866 2546627330 4169117732 5093254660 5211397165 7777008077 10422794330 15554016154 20845588660 31108032308 38885040385 77770080770 101101105001 155540161540 202202210002 404404420004 505505525005 1011011050010 2022022100020