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103421011331 = 114116711511193
BaseRepresentation
bin110000001010001011…
…1110110010110000011
3100212221120212201120002
41200110113312112003
53143301234330311
6115302211110215
710320604043321
oct1402427662603
9325846781502
10103421011331
113a9515125a0
12180635a236b
1399a24b10c1
14501153ad11
152a5474293b
hex18145f6583

103421011331 has 32 divisors (see below), whose sum is σ = 116465319936. Its totient is φ = 91021120000.

The previous prime is 103421011319. The next prime is 103421011333. The reversal of 103421011331 is 133110124301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103421011331 is a prime.

It is a super-3 number, since 3×1034210113313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103421011333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86689271 + ... + 86690463.

It is an arithmetic number, because the mean of its divisors is an integer number (3639541248).

Almost surely, 2103421011331 is an apocalyptic number.

103421011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103421011331 is a deficient number, since it is larger than the sum of its proper divisors (13044308605).

103421011331 is a wasteful number, since it uses less digits than its factorization.

103421011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 103421011331 its reverse (133110124301), we get a palindrome (236531135632).

The spelling of 103421011331 in words is "one hundred three billion, four hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 11 41 167 451 1151 1193 1837 6847 12661 13123 47191 48913 75317 192217 199231 519101 538043 1373143 2114387 2191541 7880897 8168471 15104573 56298863 86689867 89853181 229314881 619287493 2522463691 9401910121 103421011331