Search a number
-
+
100001210022 = 232737155913759
BaseRepresentation
bin101110100100010001…
…0010101111010100110
3100120010020220211002100
41131020202111322212
53114300302210042
6113535004552530
710140060155160
oct1351042257246
9316106824070
10100001210022
113945709221a
121746a252746
139578b4442c
144ba9297930
1529043c824c
hex1748895ea6

100001210022 has 96 divisors (see below), whose sum is σ = 254496153600. Its totient is φ = 27779713344.

The previous prime is 100001210011. The next prime is 100001210027. The reversal of 100001210022 is 220012100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001209986 and 100001210013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001210027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7261179 + ... + 7274937.

It is an arithmetic number, because the mean of its divisors is an integer number (2651001600).

Almost surely, 2100001210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127248076800).

100001210022 is an abundant number, since it is smaller than the sum of its proper divisors (154494943578).

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

100001210022 is a wasteful number, since it uses less digits than its factorization.

100001210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15370 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100001210022 its reverse (220012100001), we get a palindrome (320013310023).

The spelling of 100001210022 in words is "one hundred billion, one million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 1559 2331 3118 4662 4677 9354 10913 13759 14031 21826 27518 28062 32739 41277 57683 65478 82554 96313 98217 115366 123831 173049 192626 196434 247662 288939 346098 403781 509083 519147 577878 807562 866817 1018166 1038294 1211343 1527249 1733634 2422686 3054498 3563581 3634029 4581747 7127162 7268058 9163494 10690743 21381486 21450281 32072229 42900562 64144458 64350843 128701686 150151967 193052529 300303934 386105058 450455901 793660397 900911802 1351367703 1587320794 2380981191 2702735406 4761962382 5555622779 7142943573 11111245558 14285887146 16666868337 33333736674 50000605011 100001210022