Search a number
-
+
10002311310030 = 23513195979289603
BaseRepresentation
bin1001000110001101100000…
…1101100110101011001110
31022102012201021100222010120
42101203120031212223032
52302334213143410110
633134555352245410
72051433412222434
oct221433015465316
938365637328116
1010002311310030
113206a57a7a4a6
1211566219a0866
135772a1c605b0
142681860a2d54
151252b2cea870
hex918d8366ace

10002311310030 has 256 divisors, whose sum is σ = 28024399872000. Its totient is φ = 2263955526144.

The previous prime is 10002311309933. The next prime is 10002311310053. The reversal of 10002311310030 is 3001311320001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 10002311309991 and 10002311310009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34393209 + ... + 34682811.

It is an arithmetic number, because the mean of its divisors is an integer number (109470312000).

Almost surely, 210002311310030 is an apocalyptic number.

10002311310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002311310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012199936000).

10002311310030 is an abundant number, since it is smaller than the sum of its proper divisors (18022088561970).

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

10002311310030 is a wasteful number, since it uses less digits than its factorization.

10002311310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289783.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10002311310030 its reverse (3001311320001), we get a palindrome (13003622630031).

The spelling of 10002311310030 in words is "ten trillion, two billion, three hundred eleven million, three hundred ten thousand, thirty".