Search a number
-
+
10110002210000 = 2454711472571087
BaseRepresentation
bin1001001100011110101100…
…0101110010010011010000
31022210111200102210111202022
42103013223011302103100
52311120241031210000
633300245414111012
72062265164611020
oct223075305622320
938714612714668
1010110002210000
11324869a753580
12117347734b468
135844a4c4a304
1426d480729a80
15127eb7325585
hex931eb1724d0

10110002210000 has 800 divisors, whose sum is σ = 31316541898752. Its totient is φ = 3069296640000.

The previous prime is 10110002209997. The next prime is 10110002210023. The reversal of 10110002210000 is 1220001101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10110002210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9300829457 + ... + 9300830543.

Almost surely, 210110002210000 is an apocalyptic number.

10110002210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658270949376).

10110002210000 is an abundant number, since it is smaller than the sum of its proper divisors (21206539688752).

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

10110002210000 is a wasteful number, since it uses less digits than its factorization.

10110002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10110002210000 its reverse (1220001101), we get a palindrome (10111222211101).

The spelling of 10110002210000 in words is "ten trillion, one hundred ten billion, two million, two hundred ten thousand".