Search a number
-
+
2100322113204 = 2237219238173859
BaseRepresentation
bin11110100100000100111…
…101000001011010110100
321102210022001121020110110
4132210010331001122310
5233402424430110304
64244512532023020
7304512640253100
oct36440475013264
97383261536413
102100322113204
1173a818094347
1229b081761a70
131230a0a14b33
14739285dc900
153997a643289
hex1e904f416b4

2100322113204 has 144 divisors (see below), whose sum is σ = 6261830668800. Its totient is φ = 543790425024.

The previous prime is 2100322113191. The next prime is 2100322113269. The reversal of 2100322113204 is 4023112230012.

It is a super-2 number, since 2×21003221132042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3829974 + ... + 4343885.

It is an arithmetic number, because the mean of its divisors is an integer number (43484935200).

Almost surely, 22100322113204 is an apocalyptic number.

It is an amenable number.

2100322113204 is an abundant number, since it is smaller than the sum of its proper divisors (4161508555596).

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

2100322113204 is a wasteful number, since it uses less digits than its factorization.

2100322113204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173922 (or 8173913 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2100322113204 its reverse (4023112230012), we get a palindrome (6123434343216).

The spelling of 2100322113204 in words is "two trillion, one hundred billion, three hundred twenty-two million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 49 57 69 76 84 92 98 114 133 138 147 161 196 228 266 276 294 322 399 437 483 532 588 644 798 874 931 966 1127 1311 1596 1748 1862 1932 2254 2622 2793 3059 3381 3724 4508 5244 5586 6118 6762 9177 11172 12236 13524 18354 21413 36708 42826 64239 85652 128478 256956 8173859 16347718 24521577 32695436 49043154 57217013 98086308 114434026 155303321 171651039 187998757 228868052 310606642 343302078 375997514 400519091 465909963 563996271 621213284 686604156 751995028 801038182 931819926 1087123247 1127992542 1201557273 1315991299 1602076364 1863639852 2174246494 2255985084 2403114546 2631982598 3261369741 3571976383 3947973897 4348492988 4806229092 5263965196 6522739482 7143952766 7609862729 7895947794 9211939093 10715929149 13045478964 14287905532 15219725458 15791895588 18423878186 21431858298 22829588187 25003834681 27635817279 30439450916 36847756372 42863716596 45659176374 50007669362 55271634558 75011504043 91318352748 100015338724 110543269116 150023008086 175026842767 300046016172 350053685534 525080528301 700107371068 1050161056602 2100322113204