Search a number
-
+
10322103204 = 2232747985513
BaseRepresentation
bin10011001110011111…
…01100101110100100
3222122100212011122200
421213033230232210
5132114424300304
64424130254500
7513535300230
oct114717545644
928570764580
1010322103204
114417615a06
122000a27430
13c86656a9a
146dcc4b5c0
154062d5e39
hex2673ecba4

10322103204 has 72 divisors (see below), whose sum is σ = 29882012160. Its totient is φ = 2942980992.

The previous prime is 10322103179. The next prime is 10322103247. The reversal of 10322103204 is 40230122301.

10322103204 is a `hidden beast` number, since 10 + 322 + 10 + 320 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77952 + ... + 163464.

Almost surely, 210322103204 is an apocalyptic number.

10322103204 is a gapful number since it is divisible by the number (14) 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 10322103204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941006080).

10322103204 is an abundant number, since it is smaller than the sum of its proper divisors (19559908956).

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

10322103204 is a wasteful number, since it uses less digits than its factorization.

10322103204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86009 (or 86004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10322103204 its reverse (40230122301), we get a palindrome (50552225505).

It can be divided in two parts, 10322 and 103204, that added together give a triangular number (113526 = T476).

The spelling of 10322103204 in words is "ten billion, three hundred twenty-two million, one hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 479 958 1437 1916 2874 3353 4311 5748 6706 8622 10059 13412 17244 20118 30177 40236 60354 85513 120708 171026 256539 342052 513078 598591 769617 1026156 1197182 1539234 1795773 2394364 3078468 3591546 5387319 7183092 10774638 21549276 40960727 81921454 122882181 163842908 245764362 286725089 368646543 491528724 573450178 737293086 860175267 1146900356 1474586172 1720350534 2580525801 3440701068 5161051602 10322103204