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2001220100 = 2252117923029
BaseRepresentation
bin111011101001000…
…0011001000000100
312011110122111212222
41313102003020010
513044303020400
6530325031512
7100410042635
oct16722031004
95143574788
102001220100
11937700310
1247a255598
1325b7b3809
1414dad588c
15baa54185
hex77483204

2001220100 has 72 divisors (see below), whose sum is σ = 4797609600. Its totient is φ = 718473600.

The previous prime is 2001220099. The next prime is 2001220103. The reversal of 2001220100 is 10221002.

It is not an unprimeable number, because it can be changed into a prime (2001220103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75386 + ... + 98414.

Almost surely, 22001220100 is an apocalyptic number.

2001220100 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 2001220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398804800).

2001220100 is an abundant number, since it is smaller than the sum of its proper divisors (2796389500).

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

2001220100 is a wasteful number, since it uses less digits than its factorization.

2001220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23133 (or 23126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2001220100 is about 44734.9986028836. The cubic root of 2001220100 is about 1260.1772027587.

Adding to 2001220100 its reverse (10221002), we get a palindrome (2011441102).

The spelling of 2001220100 in words is "two billion, one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 17380 21725 23029 43450 46058 86900 92116 115145 230290 253319 460580 506638 575725 1013276 1151450 1266595 1819291 2302900 2533190 3638582 5066380 6332975 7277164 9096455 12665950 18192910 20012201 25331900 36385820 40024402 45482275 80048804 90964550 100061005 181929100 200122010 400244020 500305025 1000610050 2001220100