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1012014120 = 233513719137
BaseRepresentation
bin111100010100100…
…001110000101000
32121112021122101110
4330110201300220
54033033422440
6244230550320
734035656325
oct7424416050
92545248343
101012014120
1147a28a207
12242b083a0
13131885730
1498597b4c
155dca6080
hex3c521c28

1012014120 has 128 divisors (see below), whose sum is σ = 3315997440. Its totient is φ = 245575680.

The previous prime is 1012014071. The next prime is 1012014139. The reversal of 1012014120 is 214102101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012014096 and 1012014105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106192 + ... + 115328.

It is an arithmetic number, because the mean of its divisors is an integer number (25906230).

Almost surely, 21012014120 is an apocalyptic number.

1012014120 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 1012014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657998720).

1012014120 is an abundant number, since it is smaller than the sum of its proper divisors (2303983320).

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

1012014120 is a wasteful number, since it uses less digits than its factorization.

1012014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1012014120 is about 31812.1693695982. The cubic root of 1012014120 is about 1003.9887751850.

Adding to 1012014120 its reverse (214102101), we get a palindrome (1226116221).

The spelling of 1012014120 in words is "one billion, twelve million, fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 71 78 104 120 130 142 156 195 213 260 284 312 355 390 426 520 568 710 780 852 923 1065 1420 1560 1704 1846 2130 2769 2840 3692 4260 4615 5538 7384 8520 9137 9230 11076 13845 18274 18460 22152 27411 27690 36548 36920 45685 54822 55380 73096 91370 109644 110760 118781 137055 182740 219288 237562 274110 356343 365480 475124 548220 593905 648727 712686 950248 1096440 1187810 1297454 1425372 1781715 1946181 2375620 2594908 2850744 3243635 3563430 3892362 4751240 5189816 6487270 7126860 7784724 8433451 9730905 12974540 14253720 15569448 16866902 19461810 25300353 25949080 33733804 38923620 42167255 50600706 67467608 77847240 84334510 101201412 126501765 168669020 202402824 253003530 337338040 506007060 1012014120