Search a number
-
+
10211310310000 = 24542998334057
BaseRepresentation
bin1001010010011000000110…
…0001100001001001110000
31100011012011202212012212011
42110212001201201021300
52314300230414410000
633415002230212304
72102512534344112
oct224460141411160
940135152765764
1010211310310000
113287657509558
12118b02b1b4094
13590bcb76c807
142743313b93b2
1512a9463002ba
hex94981861270

10211310310000 has 100 divisors (see below), whose sum is σ = 24724153888192. Its totient is φ = 4084267968000.

The previous prime is 10211310309997. The next prime is 10211310310037. The reversal of 10211310310000 is 1301311201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×102113103100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 299812972 + ... + 299847028.

Almost surely, 210211310310000 is an apocalyptic number.

10211310310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211310310000 is an abundant number, since it is smaller than the sum of its proper divisors (14512843578192).

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

10211310310000 is an equidigital number, since it uses as much as digits as its factorization.

10211310310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64068 (or 64047 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10211310310000 its reverse (1301311201), we get a palindrome (10212611621201).

The spelling of 10211310310000 in words is "ten trillion, two hundred eleven billion, three hundred ten million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 29983 34057 59966 68114 119932 136228 149915 170285 239864 272456 299830 340570 479728 544912 599660 681140 749575 851425 1199320 1362280 1499150 1702850 2398640 2724560 2998300 3405700 3747875 4257125 5996600 6811400 7495750 8514250 11993200 13622800 14991500 17028500 18739375 21285625 29983000 34057000 37478750 42571250 59966000 68114000 74957500 85142500 149915000 170285000 299830000 340570000 1021131031 2042262062 4084524124 5105655155 8169048248 10211310310 16338096496 20422620620 25528275775 40845241240 51056551550 81690482480 102113103100 127641378875 204226206200 255282757750 408452412400 510565515500 638206894375 1021131031000 1276413788750 2042262062000 2552827577500 5105655155000 10211310310000