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2002023100 = 2252711260003
BaseRepresentation
bin111011101010100…
…0111001010111100
312011112011022101201
41313111013022330
513100004214400
6530354145244
7100416626020
oct16725071274
95145138351
102002023100
119380a9650
1247a582224
1325ba0516c
1414dc64380
15bab6206a
hex775472bc

2002023100 has 72 divisors (see below), whose sum is σ = 5416403328. Its totient is φ = 624004800.

The previous prime is 2002023083. The next prime is 2002023137. The reversal of 2002023100 is 13202002.

It is a super-2 number, since 2×20020231002 = 8016192985867220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122302 + ... + 137701.

It is an arithmetic number, because the mean of its divisors is an integer number (75227824).

Almost surely, 22002023100 is an apocalyptic number.

2002023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002023100 is an abundant number, since it is smaller than the sum of its proper divisors (3414380228).

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

2002023100 is a wasteful number, since it uses less digits than its factorization.

2002023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260035 (or 260028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2002023100 is about 44743.9727784648. The cubic root of 2002023100 is about 1260.3457311110.

Adding to 2002023100 its reverse (13202002), we get a palindrome (2015225102).

It can be divided in two parts, 200202 and 3100, that added together give a palindrome (203302).

The spelling of 2002023100 in words is "two billion, two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 260003 520006 1040012 1300015 1820021 2600030 2860033 3640042 5200060 5720066 6500075 7280084 9100105 11440132 13000150 14300165 18200210 20020231 26000300 28600330 36400420 40040462 45500525 57200660 71500825 80080924 91001050 100101155 143001650 182002100 200202310 286003300 400404620 500505775 1001011550 2002023100