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10023330130100 = 2252743333001001
BaseRepresentation
bin1001000111011011110100…
…0010000010100010110100
31022111012222002222122202222
42101312331002002202310
52303210240003130400
633152353154421512
72053106315233310
oct221667502024264
938435862878688
1010023330130100
113214963607081
12115a708b91898
13579271734731
142691bb7d4b40
15125ae3214185
hex91dbd0828b4

10023330130100 has 72 divisors (see below), whose sum is σ = 25435948536768. Its totient is φ = 3356650080000.

The previous prime is 10023330130097. The next prime is 10023330130103. The reversal of 10023330130100 is 103103332001.

It is an interprime number because it is at equal distance from previous prime (10023330130097) and next prime (10023330130103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023330130103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 166470401 + ... + 166530600.

Almost surely, 210023330130100 is an apocalyptic number.

10023330130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023330130100 is an abundant number, since it is smaller than the sum of its proper divisors (15412618406668).

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

10023330130100 is a wasteful number, since it uses less digits than its factorization.

10023330130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333001065 (or 333001058 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10023330130100 its reverse (103103332001), we get a palindrome (10126433462101).

The spelling of 10023330130100 in words is "ten trillion, twenty-three billion, three hundred thirty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4300 6020 7525 15050 30100 333001001 666002002 1332004004 1665005005 2331007007 3330010010 4662014014 6660020020 8325025025 9324028028 11655035035 14319043043 16650050050 23310070070 28638086086 33300100100 46620140140 57276172172 58275175175 71595215215 100233301301 116550350350 143190430430 200466602602 233100700700 286380860860 357976076075 400933205204 501166506505 715952152150 1002333013010 1431904304300 2004666026020 2505832532525 5011665065050 10023330130100