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2020102021200 = 2435212311367521
BaseRepresentation
bin11101011001010111011…
…101101010000001010000
321011010020101100022222210
4131121113131222001100
5231044132104134300
64144004433032120
7265643003602614
oct35312735520120
97133211308883
102020102021200
117097a1a2194a
122876140b5640
1311865810c783
146dab8531344
1537832b9c050
hex1d65776a050

2020102021200 has 120 divisors (see below), whose sum is σ = 6476321627776. Its totient is φ = 538255872000.

The previous prime is 2020102021193. The next prime is 2020102021207. The reversal of 2020102021200 is 21202010202.

It is an interprime number because it is at equal distance from previous prime (2020102021193) and next prime (2020102021207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020102021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793440 + ... + 2160960.

Almost surely, 22020102021200 is an apocalyptic number.

2020102021200 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 2020102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238160813888).

2020102021200 is an abundant number, since it is smaller than the sum of its proper divisors (4456219606576).

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

2020102021200 is a wasteful number, since it uses less digits than its factorization.

2020102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368773 (or 1368762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2020102021200 its reverse (21202010202), we get a palindrome (2041304031402).

The spelling of 2020102021200 in words is "two trillion, twenty billion, one hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1231 2462 3693 4924 6155 7386 9848 12310 14772 18465 19696 24620 29544 30775 36930 49240 59088 61550 73860 92325 98480 123100 147720 184650 246200 295440 369300 492400 738600 1367521 1477200 2735042 4102563 5470084 6837605 8205126 10940168 13675210 16410252 20512815 21880336 27350420 32820504 34188025 41025630 54700840 65641008 68376050 82051260 102564075 109401680 136752100 164102520 205128150 273504200 328205040 410256300 547008400 820512600 1641025200 1683418351 3366836702 5050255053 6733673404 8417091755 10100510106 13467346808 16834183510 20201020212 25251275265 26934693616 33668367020 40402040424 42085458775 50502550530 67336734040 80804080848 84170917550 101005101060 126256376325 134673468080 168341835100 202010202120 252512752650 336683670200 404020404240 505025505300 673367340400 1010051010600 2020102021200