Search a number
-
+
10030001222100 = 2235256197594931
BaseRepresentation
bin1001000111110100101010…
…1010001111000111010100
31022111212012000211020121110
42101331022222033013110
52303312420303101400
633155415143215020
72053433531463156
oct221751252170724
938455160736543
1010030001222100
113217777232252
12115ba6b147470
13579a9585a952
142696517b4ad6
15125d83c0de50
hex91f4aa8f1d4

10030001222100 has 72 divisors (see below), whose sum is σ = 29020702049248. Its totient is φ = 2674614902400.

The previous prime is 10030001222083. The next prime is 10030001222117. The reversal of 10030001222100 is 122210003001.

10030001222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10030001222083) and next prime (10030001222117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16561635 + ... + 17156565.

Almost surely, 210030001222100 is an apocalyptic number.

10030001222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10030001222100 is an abundant number, since it is smaller than the sum of its proper divisors (18990700827148).

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

10030001222100 is a wasteful number, since it uses less digits than its factorization.

10030001222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651145 (or 651138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10030001222100 its reverse (122210003001), we get a palindrome (10152211225101).

The spelling of 10030001222100 in words is "ten trillion, thirty billion, one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 56197 112394 168591 224788 280985 337182 561970 594931 674364 842955 1123940 1189862 1404925 1685910 1784793 2379724 2809850 2974655 3371820 3569586 4214775 5619700 5949310 7139172 8429550 8923965 11898620 14873275 16859100 17847930 29746550 35695860 44619825 59493100 89239650 178479300 33433337407 66866674814 100300012221 133733349628 167166687035 200600024442 334333374070 401200048884 501500061105 668666748140 835833435175 1003000122210 1671666870350 2006000244420 2507500305525 3343333740700 5015000611050 10030001222100