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2000211312 = 2431122411429
BaseRepresentation
bin111011100111000…
…1100110101110000
312011101202021002110
41313032030311300
513044023230222
6530251245320
7100365341601
oct16716146560
95141667073
102000211312
11937081400
12479a49840
1325b51c5b8
1414d911da8
15ba90530c
hex7738cd70

2000211312 has 120 divisors (see below), whose sum is σ = 5707221520. Its totient is φ = 603187200.

The previous prime is 2000211247. The next prime is 2000211319. The reversal of 2000211312 is 2131120002.

It is a super-2 number, since 2×20002113122 = 8001690585305522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000211319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399014 + ... + 1400442.

Almost surely, 22000211312 is an apocalyptic number.

2000211312 is a gapful number since it is divisible by the number (22) 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 2000211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853610760).

2000211312 is an abundant number, since it is smaller than the sum of its proper divisors (3707010208).

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

2000211312 is a wasteful number, since it uses less digits than its factorization.

2000211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2000211312 is about 44723.7220275773. The cubic root of 2000211312 is about 1259.9654210717.

Adding to 2000211312 its reverse (2131120002), we get a palindrome (4131331314).

It can be divided in two parts, 2000 and 211312, that added together give a palindrome (213312).

The spelling of 2000211312 in words is "two billion, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 241 242 264 363 482 484 528 723 726 964 968 1429 1446 1452 1928 1936 2651 2858 2892 2904 3856 4287 5302 5716 5784 5808 7953 8574 10604 11432 11568 15719 15906 17148 21208 22864 29161 31438 31812 34296 42416 47157 58322 62876 63624 68592 87483 94314 116644 125752 127248 172909 174966 188628 233288 251504 344389 345818 349932 377256 466576 518727 688778 691636 699864 754512 1033167 1037454 1377556 1383272 1399728 2066334 2074908 2755112 2766544 3788279 4132668 4149816 5510224 7576558 8265336 8299632 11364837 15153116 16530672 22729674 30306232 41671069 45459348 60612464 83342138 90918696 125013207 166684276 181837392 250026414 333368552 500052828 666737104 1000105656 2000211312