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1012121321112 = 233411909115619
BaseRepresentation
bin11101011101001110010…
…00011011111010011000
310120202110110211100010000
432232213020123322120
5113040311024233422
62052543452253000
7133060211165436
oct16564710337230
93522413740100
101012121321112
11360269110950
121441a5471160
137459a5ca6b5
1436db6205d56
151b4da99dcac
hexeba721be98

1012121321112 has 160 divisors (see below), whose sum is σ = 3093131131200. Its totient is φ = 306650059200.

The previous prime is 1012121321089. The next prime is 1012121321143. The reversal of 1012121321112 is 2111231212101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64792839 + ... + 64808457.

It is an arithmetic number, because the mean of its divisors is an integer number (19332069570).

Almost surely, 21012121321112 is an apocalyptic number.

1012121321112 is a gapful number since it is divisible by the number (12) 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 1012121321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546565565600).

1012121321112 is an abundant number, since it is smaller than the sum of its proper divisors (2081009810088).

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

1012121321112 is a wasteful number, since it uses less digits than its factorization.

1012121321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24739 (or 24726 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1012121321112 its reverse (2111231212101), we get a palindrome (3123352533213).

The spelling of 1012121321112 in words is "one trillion, twelve billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 9091 15619 18182 27273 31238 36364 46857 54546 62476 72728 81819 93714 100001 109092 124952 140571 163638 171809 187428 200002 218184 245457 281142 300003 327276 343618 374856 400004 421713 490914 515427 562284 600006 654552 687236 736371 800008 843426 900009 981828 1030854 1124568 1200012 1265139 1374472 1472742 1546281 1686852 1800018 1963656 2061708 2400024 2530278 2700027 2945484 3092562 3373704 3600036 4123416 4638843 5060556 5400054 5890968 6185124 7200072 8100081 9277686 10121112 10800108 12370248 13916529 16200162 18555372 21600216 27833058 32400324 37110744 55666116 64800648 111332232 141992329 283984658 425976987 567969316 851953974 1135938632 1277930961 1561915619 1703907948 2555861922 3123831238 3407815896 3833792883 4685746857 5111723844 6247662476 7667585766 9371493714 10223447688 11501378649 12495324952 14057240571 15335171532 18742987428 23002757298 28114481142 30670343064 37485974856 42171721713 46005514596 56228962284 84343443426 92011029192 112457924568 126515165139 168686886852 253030330278 337373773704 506060660556 1012121321112