Search a number
-
+
100100223321 = 3783532310789
BaseRepresentation
bin101110100111001110…
…0000011000101011001
3100120101011020012210120
41131032130003011121
53120001124121241
6113552503103453
710142401600530
oct1351634030531
9316334205716
10100100223321
11394a7a6a39a
1217497441b89
139593500a97
144bb84ad317
15290ce35666
hex174e703159

100100223321 has 32 divisors (see below), whose sum is σ = 154414740480. Its totient is φ = 56495116224.

The previous prime is 100100223319. The next prime is 100100223323. The reversal of 100100223321 is 123322001001.

It is an interprime number because it is at equal distance from previous prime (100100223319) and next prime (100100223323).

It is not a de Polignac number, because 100100223321 - 21 = 100100223319 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100223321.

It is not an unprimeable number, because it can be changed into a prime (100100223323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9272595 + ... + 9283383.

It is an arithmetic number, because the mean of its divisors is an integer number (4825460640).

Almost surely, 2100100223321 is an apocalyptic number.

It is an amenable number.

100100223321 is a deficient number, since it is larger than the sum of its proper divisors (54314517159).

100100223321 is a wasteful number, since it uses less digits than its factorization.

100100223321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16205.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100100223321 its reverse (123322001001), we get a palindrome (223422224322).

The spelling of 100100223321 in words is "one hundred billion, one hundred million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 7 21 83 249 581 1743 5323 10789 15969 32367 37261 75523 111783 226569 441809 895487 1325427 2686461 3092663 6268409 9277989 18805227 57429847 172289541 402008929 1206026787 4766677301 14300031903 33366741107 100100223321