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2020041100 = 2252711436101
BaseRepresentation
bin111100001100111…
…0110000110001100
312012210001201110001
41320121312012030
513114112303400
6532240254044
7101026031440
oct17031660614
95183051401
102020041100
11947295860
12484611324
132626733bc
141523d4820
15bc520a6a
hex7867618c

2020041100 has 144 divisors (see below), whose sum is σ = 5593142016. Its totient is φ = 614880000.

The previous prime is 2020041097. The next prime is 2020041103. The reversal of 2020041100 is 11400202.

It is an interprime number because it is at equal distance from previous prime (2020041097) and next prime (2020041103).

It is a super-3 number, since 3×20200411003 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2020041103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328050 + ... + 334150.

It is an arithmetic number, because the mean of its divisors is an integer number (38841264).

Almost surely, 22020041100 is an apocalyptic number.

2020041100 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 2020041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796571008).

2020041100 is an abundant number, since it is smaller than the sum of its proper divisors (3573100916).

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

2020041100 is a wasteful number, since it uses less digits than its factorization.

2020041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6169 counting only the distinct ones).

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

The square root of 2020041100 is about 44944.8673376616. The cubic root of 2020041100 is about 1264.1154382032.

Adding to 2020041100 its reverse (11400202), we get a palindrome (2031441302).

The spelling of 2020041100 in words is "two billion, twenty million, forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 43 44 50 55 70 77 86 100 110 140 154 172 175 215 220 275 301 308 350 385 430 473 550 602 700 770 860 946 1075 1100 1204 1505 1540 1892 1925 2150 2365 3010 3311 3850 4300 4730 6020 6101 6622 7525 7700 9460 11825 12202 13244 15050 16555 23650 24404 30100 30505 33110 42707 47300 61010 66220 67111 82775 85414 122020 134222 152525 165550 170828 213535 262343 268444 305050 331100 335555 427070 469777 524686 610100 671110 854140 939554 1049372 1067675 1311715 1342220 1677775 1836401 1879108 2135350 2348885 2623430 2885773 3355550 3672802 4270700 4697770 5246860 5771546 6558575 6711100 7345604 9182005 9395540 11543092 11744425 13117150 14428865 18364010 20200411 23488850 26234300 28857730 36728020 40400822 45910025 46977700 57715460 72144325 80801644 91820050 101002055 144288650 183640100 202004110 288577300 404008220 505010275 1010020550 2020041100