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2001112033020 = 22354358722251
BaseRepresentation
bin11101000111101011100…
…100100110011011111100
321002022012221022222111020
4131013223210212123330
5230241234140024040
64131144223424140
7264401264425602
oct35075344463374
97068187288436
102001112033020
11701737634741
122839b4455050
1311691ca69089
146cbd6441872
15370c093dcd0
hex1d1eb9266fc

2001112033020 has 144 divisors (see below), whose sum is σ = 5745754025088. Its totient is φ = 520100784000.

The previous prime is 2001112033007. The next prime is 2001112033033. The reversal of 2001112033020 is 203302111002.

It is an interprime number because it is at equal distance from previous prime (2001112033007) and next prime (2001112033033).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 888986895 + ... + 888989145.

Almost surely, 22001112033020 is an apocalyptic number.

2001112033020 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 2001112033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872877012544).

2001112033020 is an abundant number, since it is smaller than the sum of its proper divisors (3744641992068).

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

2001112033020 is a wasteful number, since it uses less digits than its factorization.

2001112033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2001112033020 its reverse (203302111002), we get a palindrome (2204414144022).

The spelling of 2001112033020 in words is "two trillion, one billion, one hundred twelve million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 587 645 860 1174 1290 1761 2251 2348 2580 2935 3522 4502 5870 6753 7044 8805 9004 11255 11740 13506 17610 22510 25241 27012 33765 35220 45020 50482 67530 75723 96793 100964 126205 135060 151446 193586 252410 290379 302892 344569 378615 387172 483965 504820 580758 689138 757230 967930 1033707 1161516 1321337 1378276 1451895 1514460 1722845 1935860 2067414 2642674 2903790 3445690 3964011 4134828 5168535 5285348 5807580 6606685 6891380 7928022 10337070 13213370 14816467 15856044 19820055 20674140 26426740 29632934 39640110 44449401 56817491 59265868 74082335 79280220 88898802 113634982 148164670 170452473 177797604 222247005 227269964 284087455 296329340 340904946 444494010 568174910 681809892 775624819 852262365 888988020 1136349820 1551249638 1704524730 2326874457 3102499276 3409049460 3878124095 4653748914 7756248190 9307497828 11634372285 15512496380 23268744570 33351867217 46537489140 66703734434 100055601651 133407468868 166759336085 200111203302 333518672170 400222406604 500278008255 667037344340 1000556016510 2001112033020