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1014132120 = 233559143239
BaseRepresentation
bin111100011100100…
…110110110011000
32121200021020201220
4330130212312120
54034104211440
6244344212040
734062660261
oct7434466630
92550236656
101014132120
114804a6521
1224376a020
131321477a1
1498989968
155e0738d0
hex3c726d98

1014132120 has 64 divisors (see below), whose sum is σ = 3093984000. Its totient is φ = 265849728.

The previous prime is 1014132079. The next prime is 1014132131. The reversal of 1014132120 is 212314101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1014132120.

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, 64540 + ... + 78699.

It is an arithmetic number, because the mean of its divisors is an integer number (48343500).

Almost surely, 21014132120 is an apocalyptic number.

1014132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014132120 is an abundant number, since it is smaller than the sum of its proper divisors (2079851880).

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

1014132120 is a wasteful number, since it uses less digits than its factorization.

1014132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143312 (or 143308 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1014132120 is about 31845.4411179999. The cubic root of 1014132120 is about 1004.6886885083.

Adding to 1014132120 its reverse (212314101), we get a palindrome (1226446221).

The spelling of 1014132120 in words is "one billion, fourteen million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 143239 286478 429717 572956 716195 859434 1145912 1432390 1718868 2148585 2864780 3437736 4297170 5729560 8451101 8594340 16902202 17188680 25353303 33804404 42255505 50706606 67608808 84511010 101413212 126766515 169022020 202826424 253533030 338044040 507066060 1014132120