Search a number
-
+
201044134324 = 221129379914297
BaseRepresentation
bin1011101100111100101…
…0100000100110110100
3201012221010000012112001
42323033022200212310
511243214244244244
6232205225305044
720345026642255
oct2731712404664
9635833005461
10201044134324
1178298199830
1232b69335184
1315c5c73c937
149a32a3ab2c
155369e725d4
hex2ecf2a09b4

201044134324 has 96 divisors (see below), whose sum is σ = 408283868160. Its totient is φ = 85741286400.

The previous prime is 201044134289. The next prime is 201044134409. The reversal of 201044134324 is 423431440102.

201044134324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201044134292 and 201044134301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 46784944 + ... + 46789240.

It is an arithmetic number, because the mean of its divisors is an integer number (4252956960).

Almost surely, 2201044134324 is an apocalyptic number.

It is an amenable number.

201044134324 is an abundant number, since it is smaller than the sum of its proper divisors (207239733836).

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

201044134324 is a wasteful number, since it uses less digits than its factorization.

201044134324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 201044134324 its reverse (423431440102), we get a palindrome (624475574426).

The spelling of 201044134324 in words is "two hundred one billion, forty-four million, one hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 29 37 44 58 74 116 148 319 407 638 814 991 1073 1276 1628 1982 2146 3964 4292 4297 8594 10901 11803 17188 21802 23606 28739 36667 43604 47212 47267 57478 73334 94534 114956 124613 146668 158989 189068 249226 316129 317978 403337 498452 632258 635956 806674 1063343 1264516 1370743 1613348 1748879 2126686 2741486 3497758 4253372 4258327 4610681 5482972 6995516 8516654 9221362 11696773 17033308 18442724 23393546 46787092 46841597 50717491 93683194 101434982 123491483 157558099 187366388 202869964 246982966 315116198 493965932 630232396 1358406313 1733139089 2716812626 3466278178 4569184871 5433625252 6932556356 9138369742 18276739484 50261033581 100522067162 201044134324