Search a number
-
+
33103010328 = 2335872349731
BaseRepresentation
bin11110110101000101…
…111101101000011000
310011110000011011022120
4132311011331220120
51020243332312303
623112440221240
72251215642123
oct366505755030
9104400134276
1033103010328
1113047871683
1264ba16a820
13317720539b
1418605c73ba
15cdb269553
hex7b517da18

33103010328 has 32 divisors (see below), whose sum is σ = 82898544960. Its totient is φ = 11015534240.

The previous prime is 33103010323. The next prime is 33103010359. The reversal of 33103010328 is 82301030133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 33103010298 and 33103010307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33103010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1160778 + ... + 1188953.

It is an arithmetic number, because the mean of its divisors is an integer number (2590579530).

Almost surely, 233103010328 is an apocalyptic number.

It is an amenable number.

33103010328 is an abundant number, since it is smaller than the sum of its proper divisors (49795534632).

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

33103010328 is a wasteful number, since it uses less digits than its factorization.

33103010328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350327 (or 2350323 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 33103010328 in words is "thirty-three billion, one hundred three million, ten thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 587 1174 1761 2348 3522 4696 7044 14088 2349731 4699462 7049193 9398924 14098386 18797848 28196772 56393544 1379292097 2758584194 4137876291 5517168388 8275752582 11034336776 16551505164 33103010328