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201211020032 = 2811261106487
BaseRepresentation
bin1011101101100100011…
…1001000001100000000
3201020100202000212200012
42323121013020030000
511244040010120112
6232233550244052
720352124310441
oct2733107101400
9636322025605
10201211020032
1178373414500
1232bb51b6628
1315c881a1589
149a4ac7d2c8
15537993a022
hex2ed91c8300

201211020032 has 108 divisors (see below), whose sum is σ = 448709124528. Its totient is φ = 89959372800.

The previous prime is 201211020013. The next prime is 201211020041. The reversal of 201211020032 is 230020112102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201211019989 and 201211020016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1836293 + ... + 1942779.

It is an arithmetic number, because the mean of its divisors is an integer number (4154714116).

Almost surely, 2201211020032 is an apocalyptic number.

201211020032 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 201211020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224354562264).

201211020032 is an abundant number, since it is smaller than the sum of its proper divisors (247498104496).

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

201211020032 is a wasteful number, since it uses less digits than its factorization.

201211020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106586 (or 106561 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201211020032 its reverse (230020112102), we get a palindrome (431231132134).

The spelling of 201211020032 in words is "two hundred one billion, two hundred eleven million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 121 122 128 176 242 244 256 352 484 488 671 704 968 976 1342 1408 1936 1952 2684 2816 3872 3904 5368 7381 7744 7808 10736 14762 15488 15616 21472 29524 30976 42944 59048 85888 106487 118096 171776 212974 236192 425948 472384 851896 944768 1171357 1703792 1889536 2342714 3407584 4685428 6495707 6815168 9370856 12884927 12991414 13630336 18741712 25769854 25982828 27260672 37483424 51539708 51965656 71452777 74966848 103079416 103931312 142905554 149933696 206158832 207862624 285811108 299867392 412317664 415725248 571622216 785980547 824635328 831450496 1143244432 1571961094 1649270656 1662900992 2286488864 3143922188 3298541312 4572977728 6287844376 9145955456 12575688752 18291910912 25151377504 50302755008 100605510016 201211020032