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1012043120 = 245111318779
BaseRepresentation
bin111100010100101…
…000110101110000
32121112100010011112
4330110220311300
54033040334440
6244231332452
734036140014
oct7424506560
92545303145
101012043120
1147a2a9a80
12242b21128
131318959aa
14985a4544
155dcae965
hex3c528d70

1012043120 has 80 divisors (see below), whose sum is σ = 2586798720. Its totient is φ = 365164800.

The previous prime is 1012043117. The next prime is 1012043147. The reversal of 1012043120 is 213402101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1012043095 and 1012043104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110891 + ... + 119669.

It is an arithmetic number, because the mean of its divisors is an integer number (32334984).

Almost surely, 21012043120 is an apocalyptic number.

1012043120 is a gapful number since it is divisible by the number (10) 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 1012043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293399360).

1012043120 is an abundant number, since it is smaller than the sum of its proper divisors (1574755600).

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

1012043120 is a wasteful number, since it uses less digits than its factorization.

1012043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8928 counting only the distinct ones).

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

The square root of 1012043120 is about 31812.6251667479. The cubic root of 1012043120 is about 1003.9983651027.

Adding to 1012043120 its reverse (213402101), we get a palindrome (1225445221).

The spelling of 1012043120 in words is "one billion, twelve million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 262 440 524 655 880 1048 1310 1441 2096 2620 2882 5240 5764 7205 8779 10480 11528 14410 17558 23056 28820 35116 43895 57640 70232 87790 96569 115280 140464 175580 193138 351160 386276 482845 702320 772552 965690 1150049 1545104 1931380 2300098 3862760 4600196 5750245 7725520 9200392 11500490 12650539 18400784 23000980 25301078 46001960 50602156 63252695 92003920 101204312 126505390 202408624 253010780 506021560 1012043120