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1014100320 = 253517124277
BaseRepresentation
bin111100011100011…
…111000101100000
32121200012122010010
4330130133011200
54034102202240
6244343404520
734062465462
oct7434370540
92550178103
101014100320
11480484642
12243753740
1313213617c
149897c132
155e069280
hex3c71f160

1014100320 has 96 divisors (see below), whose sum is σ = 3382350048. Its totient is φ = 254517248.

The previous prime is 1014100309. The next prime is 1014100349. The reversal of 1014100320 is 230014101.

It is a happy number.

1014100320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1014100296 and 1014100305.

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, 53979 + ... + 70298.

It is an arithmetic number, because the mean of its divisors is an integer number (35232813).

Almost surely, 21014100320 is an apocalyptic number.

1014100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014100320 is an abundant number, since it is smaller than the sum of its proper divisors (2368249728).

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

1014100320 is a wasteful number, since it uses less digits than its factorization.

1014100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124312 (or 124304 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1014100320 is about 31844.9418275493. The cubic root of 1014100320 is about 1004.6781871040.

Adding to 1014100320 its reverse (230014101), we get a palindrome (1244114421).

The spelling of 1014100320 in words is "one billion, fourteen million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 124277 248554 372831 497108 621385 745662 994216 1242770 1491324 1864155 1988432 2112709 2485540 2982648 3728310 3976864 4225418 4971080 5965296 6338127 7456620 8450836 9942160 10563545 11930592 12676254 14913240 16901672 19884320 21127090 25352508 29826480 31690635 33803344 42254180 50705016 59652960 63381270 67606688 84508360 101410032 126762540 169016720 202820064 253525080 338033440 507050160 1014100320