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2001211020 = 2232513184869
BaseRepresentation
bin111011101001000…
…0000111010001100
312011110122001102200
41313102000322030
513044302223040
6530324521500
7100410004314
oct16722007214
95143561380
102001211020
119376a4506
1247a250290
1325b7ac643
1414dad2444
15baa51630
hex77480e8c

2001211020 has 72 divisors (see below), whose sum is σ = 6116750640. Its totient is φ = 529576320.

The previous prime is 2001210989. The next prime is 2001211027. The reversal of 2001211020 is 201121002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001210993 and 2001211011.

It is not an unprimeable number, because it can be changed into a prime (2001211027) 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, 18855 + ... + 66014.

It is an arithmetic number, because the mean of its divisors is an integer number (84954870).

Almost surely, 22001211020 is an apocalyptic number.

2001211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001211020 is an abundant number, since it is smaller than the sum of its proper divisors (4115539620).

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

2001211020 is a wasteful number, since it uses less digits than its factorization.

2001211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85015 (or 85010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001211020 is about 44734.8971162335. The cubic root of 2001211020 is about 1260.1752968504.

Adding to 2001211020 its reverse (201121002), we get a palindrome (2202332022).

The spelling of 2001211020 in words is "two billion, one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 11790 23580 84869 169738 254607 339476 424345 509214 763821 848690 1018428 1273035 1527642 1697380 2546070 3055284 3819105 5092140 7638210 11117839 15276420 22235678 33353517 44471356 55589195 66707034 100060551 111178390 133414068 166767585 200121102 222356780 333535170 400242204 500302755 667070340 1000605510 2001211020