Search a number
-
+
33890298230100 = 22352138689820059
BaseRepresentation
bin1111011010010101100110…
…01011111111010101010100
311102222212210011011010211110
413231022303023333111110
513420224312321330400
6200024553231335020
710065331116630354
oct755126313772524
9142885704133743
1033890298230100
11a886881918274
123974200381470
1315baac27690b0
14852428d78b64
153db86ee4ae50
hex1ed2b32ff554

33890298230100 has 72 divisors (see below), whose sum is σ = 105598693369120. Its totient is φ = 8342227255680.

The previous prime is 33890298230099. The next prime is 33890298230111. The reversal of 33890298230100 is 103289209833.

It is a happy number.

It is a super-2 number, since 2×338902982301002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33890298230100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4344906130 + ... + 4344913929.

Almost surely, 233890298230100 is an apocalyptic number.

33890298230100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33890298230100 is an abundant number, since it is smaller than the sum of its proper divisors (71708395139020).

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

33890298230100 is a wasteful number, since it uses less digits than its factorization.

33890298230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689820089 (or 8689820082 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 33890298230100 in words is "thirty-three trillion, eight hundred ninety billion, two hundred ninety-eight million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 8689820059 17379640118 26069460177 34759280236 43449100295 52138920354 86898200590 104277840708 112967660767 130347300885 173796401180 217245501475 225935321534 260694601770 338902982301 434491002950 451870643068 521389203540 564838303835 651736504425 677805964602 868982005900 1129676607670 1303473008850 1355611929204 1694514911505 2259353215340 2606946017700 2824191519175 3389029823010 5648383038350 6778059646020 8472574557525 11296766076700 16945149115050 33890298230100