Search a number
-
+
33420023120 = 2451143883193
BaseRepresentation
bin11111000111111111…
…010001010101010000
310012021002200002010002
4133013333101111100
51021421011214440
623204123025132
72262115336511
oct370777212520
9105232602102
1033420023120
111319a806020
12658836b1a8
1331c7aaba13
141890748a08
15d08ed9115
hex7c7fd1550

33420023120 has 80 divisors (see below), whose sum is σ = 86736716352. Its totient is φ = 11870100480.

The previous prime is 33420023107. The next prime is 33420023129. The reversal of 33420023120 is 2132002433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×334200231202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33420023092 and 33420023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420023129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403757 + ... + 479436.

Almost surely, 233420023120 is an apocalyptic number.

It is an amenable number.

33420023120 is an abundant number, since it is smaller than the sum of its proper divisors (53316693232).

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

33420023120 is a wasteful number, since it uses less digits than its factorization.

33420023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883260 (or 883254 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33420023120 its reverse (2132002433), we get a palindrome (35552025553).

The spelling of 33420023120 in words is "thirty-three billion, four hundred twenty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 344 430 440 473 688 860 880 946 1720 1892 2365 3440 3784 4730 7568 9460 18920 37840 883193 1766386 3532772 4415965 7065544 8831930 9715123 14131088 17663860 19430246 35327720 37977299 38860492 48575615 70655440 75954598 77720984 97151230 151909196 155441968 189886495 194302460 303818392 379772990 388604920 417750289 607636784 759545980 777209840 835500578 1519091960 1671001156 2088751445 3038183920 3342002312 4177502890 6684004624 8355005780 16710011560 33420023120