Search a number
-
+
201324103134 = 23731117523129
BaseRepresentation
bin1011101101111111011…
…0100000010111011110
3201020122121211002112020
42323133312200113132
511244302432300014
6232253110121010
720354666433000
oct2733766402736
9636577732466
10201324103134
1178421231510
1233027050166
1315ca574605b
149a5bcb8370
1553848261a9
hex2edfda05de

201324103134 has 128 divisors (see below), whose sum is σ = 542381184000. Its totient is φ = 49215882240.

The previous prime is 201324103121. The next prime is 201324103147. The reversal of 201324103134 is 431301423102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201324103121) and next prime (201324103147).

It is a congruent number.

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, 123282 + ... + 646410.

It is an arithmetic number, because the mean of its divisors is an integer number (4237353000).

Almost surely, 2201324103134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201324103134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271190592000).

201324103134 is an abundant number, since it is smaller than the sum of its proper divisors (341057080866).

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

201324103134 is a wasteful number, since it uses less digits than its factorization.

201324103134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523183 (or 523169 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 201324103134 its reverse (431301423102), we get a palindrome (632625526236).

The spelling of 201324103134 in words is "two hundred one billion, three hundred twenty-four million, one hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 49 51 66 77 98 102 119 147 154 187 231 238 294 343 357 374 462 539 561 686 714 833 1029 1078 1122 1309 1617 1666 2058 2499 2618 3234 3773 3927 4998 5831 7546 7854 9163 11319 11662 17493 18326 22638 27489 34986 54978 64141 128282 192423 384846 523129 1046258 1569387 3138774 3661903 5754419 7323806 8893193 10985709 11508838 17263257 17786386 21971418 25633321 26679579 34526514 40280933 51266642 53359158 62252351 76899963 80561866 97825123 120842799 124504702 153799926 179433247 186757053 195650246 241685598 281966531 293475369 358866494 373514106 435766457 538299741 563933062 586950738 684775861 845899593 871532914 1076599482 1307299371 1369551722 1691799186 1973765717 2054327583 2614598742 3050365199 3947531434 4108655166 4793431027 5921297151 6100730398 9151095597 9586862054 11842594302 14380293081 18302191194 28760586162 33554017189 67108034378 100662051567 201324103134