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201121210112 = 2819157263369
BaseRepresentation
bin1011101101001111000…
…0100001111100000000
3201020010111001001121212
42323103300201330000
511243344012210422
6232221021305252
720346654036104
oct2732360417400
9636114031555
10201121210112
1178327752a29
1232b8b105228
1315c726b8004
149a3cd81904
155371ae99e2
hex2ed3c21f00

201121210112 has 72 divisors (see below), whose sum is σ = 425279341200. Its totient is φ = 94660780032.

The previous prime is 201121210057. The next prime is 201121210141. The reversal of 201121210112 is 211012121102.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 631964 + ... + 895332.

Almost surely, 2201121210112 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 201121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212639670600).

201121210112 is an abundant number, since it is smaller than the sum of its proper divisors (224158131088).

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

201121210112 is a wasteful number, since it uses less digits than its factorization.

201121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263561 (or 263547 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121210112 its reverse (211012121102), we get a palindrome (412133331214).

The spelling of 201121210112 in words is "two hundred one billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 157 256 304 314 608 628 1216 1256 2432 2512 2983 4864 5024 5966 10048 11932 20096 23864 40192 47728 95456 190912 263369 381824 526738 763648 1053476 2106952 4213904 5004011 8427808 10008022 16855616 20016044 33711232 40032088 41348933 67422464 80064176 82697866 160128352 165395732 320256704 330791464 640513408 661582928 785629727 1281026816 1323165856 1571259454 2646331712 3142518908 5292663424 6285037816 10585326848 12570075632 25140151264 50280302528 100560605056 201121210112