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201413240322 = 237176738310993
BaseRepresentation
bin1011101110010100101…
…0100010011000000010
3201020212211112201202120
42323211022202120002
511244443242142242
6232310012425110
720360131203120
oct2734512423002
9636784481676
10201413240322
1178467583608
1233050a78196
1315cbb055358
149a69a7c910
15538c5821ec
hex2ee52a2602

201413240322 has 128 divisors (see below), whose sum is σ = 496066166784. Its totient is φ = 53209018368.

The previous prime is 201413240267. The next prime is 201413240341. The reversal of 201413240322 is 223042314102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201413240292 and 201413240301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18316458 + ... + 18327450.

It is an arithmetic number, because the mean of its divisors is an integer number (3875516928).

Almost surely, 2201413240322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201413240322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248033083392).

201413240322 is an abundant number, since it is smaller than the sum of its proper divisors (294652926462).

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

201413240322 is a wasteful number, since it uses less digits than its factorization.

201413240322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11472.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201413240322 its reverse (223042314102), we get a palindrome (424455554424).

The spelling of 201413240322 in words is "two hundred one billion, four hundred thirteen million, two hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 67 102 119 134 201 238 357 383 402 469 714 766 938 1139 1149 1407 2278 2298 2681 2814 3417 5362 6511 6834 7973 8043 10993 13022 15946 16086 19533 21986 23919 25661 32979 39066 45577 47838 51322 65958 76951 76983 91154 136731 153902 153966 179627 186881 230853 273462 359254 373762 436237 461706 538881 560643 736531 872474 1077762 1121286 1308167 1308711 1473062 2209593 2616334 2617422 3053659 3924501 4210319 4419186 5155717 6107318 7849002 8420638 9160977 10311434 12521027 12630957 15467151 18321954 25042054 25261914 29472233 30934302 37563081 58944466 71575423 75126162 87647189 88416699 143150846 175294378 176833398 214726269 262941567 282091373 429452538 501027961 525883134 564182746 846274119 1002055922 1503083883 1692548238 1974639611 3006167766 3949279222 4795553341 5923918833 9591106682 11847837666 14386660023 28773320046 33568873387 67137746774 100706620161 201413240322