Search a number
-
+
33100836814020 = 22357317834238513
BaseRepresentation
bin1111000011010111000111…
…00111101011110011000100
311100012102001020012221012210
413201223203213223303010
513314311003211022040
6154222151533343420
76654312410413653
oct741534347536304
9140172036187183
1033100836814020
11a601a93498668
1238671b7337b70
13156151ac510c1
148261364d319a
153c6066e52480
hex1e1ae39ebcc4

33100836814020 has 96 divisors (see below), whose sum is σ = 94004679589632. Its totient is φ = 8701088698368.

The previous prime is 33100836813991. The next prime is 33100836814061. The reversal of 33100836814020 is 2041863800133.

It is a self number, because there is not a number n which added to its sum of digits gives 33100836814020.

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, 5690284 + ... + 9928796.

It is an arithmetic number, because the mean of its divisors is an integer number (979215412392).

Almost surely, 233100836814020 is an apocalyptic number.

33100836814020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33100836814020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47002339794816).

33100836814020 is an abundant number, since it is smaller than the sum of its proper divisors (60903842775612).

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

33100836814020 is a wasteful number, since it uses less digits than its factorization.

33100836814020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240381 (or 4240379 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 33100836814020 in words is "thirty-three trillion, one hundred billion, eight hundred thirty-six million, eight hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 1783 2190 3566 4380 5349 7132 8915 10698 17830 21396 26745 35660 53490 106980 130159 260318 390477 520636 650795 780954 1301590 1561908 1952385 2603180 3904770 4238513 7809540 8477026 12715539 16954052 21192565 25431078 42385130 50862156 63577695 84770260 127155390 254310780 309411449 618822898 928234347 1237645796 1547057245 1856468694 3094114490 3712937388 4641171735 6188228980 7557268679 9282343470 15114537358 18564686940 22671806037 30229074716 37786343395 45343612074 75572686790 90687224148 113359030185 151145373580 226718060370 453436120740 551680613567 1103361227134 1655041840701 2206722454268 2758403067835 3310083681402 5516806135670 6620167362804 8275209203505 11033612271340 16550418407010 33100836814020