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200010111012 = 2232193767311743
BaseRepresentation
bin1011101001000110001…
…0000001100000100100
3201010021001022101012100
42322101202001200210
511234110042023022
6231514450452100
720310302615115
oct2722142014044
9633231271170
10200010111012
1177907547808
123291ab94030
1315b2644c41a
14997559420c
1553092c01ac
hex2e91881824

200010111012 has 144 divisors (see below), whose sum is σ = 547432936960. Its totient is φ = 61357492224.

The previous prime is 200010110983. The next prime is 200010111053. The reversal of 200010111012 is 210111010002.

It is a happy number.

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 = 200010110985 and 200010111003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17026413 + ... + 17038155.

Almost surely, 2200010111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200010111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273716468480).

200010111012 is an abundant number, since it is smaller than the sum of its proper divisors (347422825948).

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

200010111012 is a wasteful number, since it uses less digits than its factorization.

200010111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 12477 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200010111012 its reverse (210111010002), we get a palindrome (410121121014).

The spelling of 200010111012 in words is "two hundred billion, ten million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 673 684 703 1332 1346 1406 2019 2109 2692 2812 4038 4218 6057 6327 8076 8436 11743 12114 12654 12787 23486 24228 24901 25308 25574 35229 38361 46972 49802 51148 70458 74703 76722 99604 105687 115083 140916 149406 153444 211374 223117 224109 230166 298812 422748 434491 446234 448218 460332 473119 669351 868982 892468 896436 946238 1303473 1338702 1419357 1737964 1892476 2008053 2606946 2677404 2838714 3910419 4016106 4258071 5213892 5677428 7820838 7903039 8032212 8255329 8516142 15641676 15806078 16510658 17032284 23709117 24765987 31612156 33021316 47418234 49531974 71127351 74297961 94836468 99063948 142254702 148595922 150157741 284509404 292412443 297191844 300315482 450473223 584824886 600630964 877237329 900946446 1169649772 1351419669 1754474658 1801892892 2631711987 2702839338 3508949316 5263423974 5405678676 5555836417 10526847948 11111672834 16667509251 22223345668 33335018502 50002527753 66670037004 100005055506 200010111012