Search a number
-
+
100002211212020 = 225132077211851637
BaseRepresentation
bin10110101111001110010100…
…010001101010101011110100
3111010002010012001002201221012
4112233032110101222223310
5101101414012032241040
6552404214232411352
730030631006136435
oct2657162421525364
9433063161081835
10100002211212020
11299557771a4527
12b271122246b58
1343a52252a1a20
141a9a1c076b48c
15b864489a3865
hex5af39446aaf4

100002211212020 has 48 divisors (see below), whose sum is σ = 226160057797968. Its totient is φ = 36923695672320.

The previous prime is 100002211211977. The next prime is 100002211212031. The reversal of 100002211212020 is 20212112200001.

It can be written as a sum of positive squares in 8 ways, for example, as 2206448809744 + 97795762402276 = 1485412^2 + 9889174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100002211211986 and 100002211212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53081642 + ... + 54933278.

It is an arithmetic number, because the mean of its divisors is an integer number (4711667870791).

Almost surely, 2100002211212020 is an apocalyptic number.

100002211212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002211212020 is an abundant number, since it is smaller than the sum of its proper divisors (126157846585948).

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

100002211212020 is a wasteful number, since it uses less digits than its factorization.

100002211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059380 (or 2059378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100002211212020 its reverse (20212112200001), we get a palindrome (120214323412021).

The spelling of 100002211212020 in words is "one hundred trillion, two billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 207721 415442 830884 1038605 1851637 2077210 2700373 3703274 4154420 5400746 7406548 9258185 10801492 13501865 18516370 24071281 27003730 37032740 48142562 54007460 96285124 120356405 240712810 481425620 384623889277 769247778554 1538495557108 1923119446385 3846238892770 5000110560601 7692477785540 10000221121202 20000442242404 25000552803005 50001105606010 100002211212020