Search a number
-
+
2100102323310 = 2335101331232663
BaseRepresentation
bin11110100011110111110…
…110100101110001101110
321102202201202000202102000
4132203313312211301232
5233402002143321220
64244435041113130
7304504331133165
oct36436766456156
97382652022360
102100102323310
1173a715014a02
1229b0200287a6
1312306731bc44
14739073483dc
15399661ca390
hex1e8f7da5c6e

2100102323310 has 128 divisors (see below), whose sum is σ = 5672832261120. Its totient is φ = 552804912000.

The previous prime is 2100102323251. The next prime is 2100102323323. The reversal of 2100102323310 is 133232010012.

2100102323310 is a `hidden beast` number, since 2 + 100 + 1 + 0 + 232 + 331 + 0 = 666.

It is a super-2 number, since 2×21001023233102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8910039 + ... + 9142701.

It is an arithmetic number, because the mean of its divisors is an integer number (44319002040).

Almost surely, 22100102323310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100102323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836416130560).

2100102323310 is an abundant number, since it is smaller than the sum of its proper divisors (3572729937810).

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

2100102323310 is a wasteful number, since it uses less digits than its factorization.

2100102323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233111 (or 233105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2100102323310 its reverse (133232010012), we get a palindrome (2233334333322).

The spelling of 2100102323310 in words is "two trillion, one hundred billion, one hundred two million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 331 505 606 662 909 993 1010 1515 1655 1818 1986 2727 2979 3030 3310 4545 4965 5454 5958 8937 9090 9930 13635 14895 17874 27270 29790 33431 44685 66862 89370 100293 167155 200586 232663 300879 334310 465326 501465 601758 697989 902637 1002930 1163315 1395978 1504395 1805274 2093967 2326630 3008790 3489945 4187934 4513185 6281901 6979890 9026370 10469835 12563802 20939670 23498963 31409505 46997926 62819010 70496889 77011453 117494815 140993778 154022906 211490667 231034359 234989630 352484445 385057265 422981334 462068718 634472001 693103077 704968890 770114530 1057453335 1155171795 1268944002 1386206154 2079309231 2114906670 2310343590 3172360005 3465515385 4158618462 6344720010 6931030770 7778156753 10396546155 15556313506 20793092310 23334470259 38890783765 46668940518 70003410777 77781567530 116672351295 140006821554 210010232331 233344702590 350017053885 420020464662 700034107770 1050051161655 2100102323310