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2001212010 = 232576914597
BaseRepresentation
bin111011101001000…
…0001001001101010
312011110122002210100
41313102001021222
513044302241020
6530324530230
7100410010230
oct16722011152
95143562710
102001212010
119376a5226
1247a250976
1325b7acc25
1414dad2950
15baa51a90
hex7748126a

2001212010 has 96 divisors (see below), whose sum is σ = 5956359552. Its totient is φ = 456658560.

The previous prime is 2001211981. The next prime is 2001212021. The reversal of 2001212010 is 102121002.

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 = 2001211983 and 2001212001.

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, 433032 + ... + 437628.

It is an arithmetic number, because the mean of its divisors is an integer number (62045412).

Almost surely, 22001212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978179776).

2001212010 is an abundant number, since it is smaller than the sum of its proper divisors (3955147542).

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

2001212010 is a wasteful number, since it uses less digits than its factorization.

2001212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5308 (or 5305 counting only the distinct ones).

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

The square root of 2001212010 is about 44734.9081814191. The cubic root of 2001212010 is about 1260.1755046535.

Adding to 2001212010 its reverse (102121002), we get a palindrome (2103333012).

The spelling of 2001212010 in words is "two billion, one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 691 1382 2073 3455 4146 4597 4837 6219 6910 9194 9674 10365 12438 13791 14511 20730 22985 24185 27582 29022 31095 32179 41373 43533 45970 48370 62190 64358 68955 72555 82746 87066 96537 137910 145110 160895 193074 206865 217665 289611 321790 413730 435330 482685 579222 965370 1448055 2896110 3176527 6353054 9529581 15882635 19059162 22235689 28588743 31765270 44471378 47647905 57177486 66707067 95295810 111178445 133414134 142943715 200121201 222356890 285887430 333535335 400242402 667070670 1000606005 2001212010