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103034051400 = 23352724531917
BaseRepresentation
bin101111111110101001…
…1101101101101001000
3100211221121202010022210
41133331103231231020
53142003204121100
6115155545145120
710305164662260
oct1377523555510
9324847663283
10103034051400
113a7730438a5
1217b75a8b1a0
139940287027
144db5dac7a0
152a307a7c50
hex17fd4edb48

103034051400 has 96 divisors (see below), whose sum is σ = 365034939840. Its totient is φ = 23550639360.

The previous prime is 103034051383. The next prime is 103034051429. The reversal of 103034051400 is 4150430301.

It is a super-3 number, since 3×1030340514003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12261759 + ... + 12270158.

It is an arithmetic number, because the mean of its divisors is an integer number (3802447290).

Almost surely, 2103034051400 is an apocalyptic number.

103034051400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103034051400 is an abundant number, since it is smaller than the sum of its proper divisors (262000888440).

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

103034051400 is a wasteful number, since it uses less digits than its factorization.

103034051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24531943 (or 24531934 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 103034051400 its reverse (4150430301), we get a palindrome (107184481701).

The spelling of 103034051400 in words is "one hundred three billion, thirty-four million, fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 24531917 49063834 73595751 98127668 122659585 147191502 171723419 196255336 245319170 294383004 343446838 367978755 490638340 515170257 588766008 613297925 686893676 735957510 858617095 981276680 1030340514 1226595850 1373787352 1471915020 1717234190 1839893775 2060681028 2453191700 2575851285 2943830040 3434468380 3679787550 4121362056 4293085475 4906383400 5151702570 6868936760 7359575100 8586170950 10303405140 12879256425 14719150200 17172341900 20606810280 25758512850 34344683800 51517025700 103034051400