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33103430140 = 225111316531759
BaseRepresentation
bin11110110101000111…
…100100000111111100
310011110000221111012011
4132311013210013330
51020243434231030
623112453221004
72251222341064
oct366507440774
9104400844164
1033103430140
1113048029030
1264ba331764
1331773214b1
1418606963a4
15cdb2edb2a
hex7b51e41fc

33103430140 has 96 divisors (see below), whose sum is σ = 76576389120. Its totient is φ = 11920646400.

The previous prime is 33103430123. The next prime is 33103430167. The reversal of 33103430140 is 4103430133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18818581 + ... + 18820339.

It is an arithmetic number, because the mean of its divisors is an integer number (797670720).

Almost surely, 233103430140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33103430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38288194560).

33103430140 is an abundant number, since it is smaller than the sum of its proper divisors (43472958980).

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

33103430140 is a wasteful number, since it uses less digits than its factorization.

33103430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33103430140 its reverse (4103430133), we get a palindrome (37206860273).

The spelling of 33103430140 in words is "thirty-three billion, one hundred three million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 653 655 1306 1310 1441 1759 2612 2620 2882 3265 3518 5764 6530 7036 7183 7205 8795 13060 14366 14410 17590 19349 28732 28820 35180 35915 38698 71830 77396 85543 96745 143660 171086 193490 230429 342172 386980 427715 460858 855430 921716 940973 1148627 1152145 1710860 1881946 2297254 2304290 2534719 3763892 4594508 4608580 4704865 5069438 5743135 9409730 10138876 11486270 12634897 12673595 18819460 22972540 25269794 25347190 50539588 50694380 63174485 126348970 150470137 252697940 300940274 601880548 752350685 1504701370 1655171507 3009402740 3310343014 6620686028 8275857535 16551715070 33103430140