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2022120100 = 22527111320201
BaseRepresentation
bin111100010000111…
…0001101010100100
312012220222100022001
41320201301222210
513120130320400
6532353015044
7101052510610
oct17041615244
95186870261
102022120100
11948485840
12485254484
13262c20790
141527b6340
15bc7d1a6a
hex78871aa4

2022120100 has 144 divisors (see below), whose sum is σ = 5891872896. Its totient is φ = 581760000.

The previous prime is 2022120073. The next prime is 2022120143. The reversal of 2022120100 is 10212202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90000 + ... + 110200.

It is an arithmetic number, because the mean of its divisors is an integer number (40915784).

Almost surely, 22022120100 is an apocalyptic number.

2022120100 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 2022120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945936448).

2022120100 is an abundant number, since it is smaller than the sum of its proper divisors (3869752796).

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

2022120100 is a wasteful number, since it uses less digits than its factorization.

2022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2022120100 is about 44967.9897260262. The cubic root of 2022120100 is about 1264.5489598958.

Adding to 2022120100 its reverse (10212202), we get a palindrome (2032332302).

The spelling of 2022120100 in words is "two billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 20201 25025 40402 50050 80804 100100 101005 141407 202010 222211 262613 282814 404020 444422 505025 525226 565628 707035 888844 1010050 1050452 1111055 1313065 1414070 1555477 1838291 2020100 2222110 2626130 2828140 2888743 3110954 3535175 3676582 4444220 5252260 5555275 5777486 6221908 6565325 7070350 7353164 7777385 9191455 11110550 11554972 13130650 14140700 14443715 15554770 18382910 20221201 22221100 26261300 28887430 31109540 36765820 38886925 40442402 45957275 57774860 72218575 77773850 80884804 91914550 101106005 144437150 155547700 183829100 202212010 288874300 404424020 505530025 1011060050 2022120100