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2100001020 = 2235137333673
BaseRepresentation
bin111110100101011…
…0111100011111100
312102100112002211120
41331022313203330
513300100013040
6544214150540
7103016466645
oct17512674374
95370462746
102100001020
11988439937
124a7352450
132760bb470
1415cc8a6cc
15c45677d0
hex7d2b78fc

2100001020 has 96 divisors (see below), whose sum is σ = 6342676032. Its totient is φ = 516077568.

The previous prime is 2100000997. The next prime is 2100001021. The reversal of 2100001020 is 201000012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569904 + ... + 573576.

It is an arithmetic number, because the mean of its divisors is an integer number (66069542).

Almost surely, 22100001020 is an apocalyptic number.

2100001020 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 2100001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171338016).

2100001020 is an abundant number, since it is smaller than the sum of its proper divisors (4242675012).

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

2100001020 is a wasteful number, since it uses less digits than its factorization.

2100001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100001020 is about 45825.7680786695. The cubic root of 2100001020 is about 1280.5793723193.

Adding to 2100001020 its reverse (201000012), we get a palindrome (2301001032).

The spelling of 2100001020 in words is "two billion, one hundred million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 733 780 1466 2199 2932 3665 3673 4398 7330 7346 8796 9529 10995 11019 14660 14692 18365 19058 21990 22038 28587 36730 38116 43980 44076 47645 47749 55095 57174 73460 95290 95498 110190 114348 142935 143247 190580 190996 220380 238745 285870 286494 477490 571740 572988 716235 954980 1432470 2692309 2864940 5384618 8076927 10769236 13461545 16153854 26923090 32307708 35000017 40384635 53846180 70000034 80769270 105000051 140000068 161538540 175000085 210000102 350000170 420000204 525000255 700000340 1050000510 2100001020