Search a number
-
+
210203442133104 = 24377955691421989
BaseRepresentation
bin101111110010110111001101…
…011111111011100001110000
31000120021020211022010110211110
4233302313031133323201300
5210022433122141224404
62023022043405313320
762163461152404450
oct5762671537734160
91016236738113743
10210203442133104
1160a82863101072
121b6aaa03565840
13903a13a8c1b04
1439c9c8804bd60
151947d19732b89
hexbf2dcd7fb870

210203442133104 has 160 divisors (see below), whose sum is σ = 628569634048000. Its totient is φ = 59287207329792.

The previous prime is 210203442133093. The next prime is 210203442133109. The reversal of 210203442133104 is 401331244302012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210203442133109) 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, 147112542 + ... + 148534530.

It is an arithmetic number, because the mean of its divisors is an integer number (3928560212800).

Almost surely, 2210203442133104 is an apocalyptic number.

210203442133104 is a gapful number since it is divisible by the number (24) 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 210203442133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314284817024000).

210203442133104 is an abundant number, since it is smaller than the sum of its proper divisors (418366191914896).

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

210203442133104 is a wasteful number, since it uses less digits than its factorization.

210203442133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427655 (or 1427649 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 210203442133104 its reverse (401331244302012), we get a palindrome (611534686435116).

The spelling of 210203442133104 in words is "two hundred ten trillion, two hundred three billion, four hundred forty-two million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 5569 6636 8848 11138 13272 16707 22276 26544 33414 38983 44552 66828 77966 89104 116949 133656 155932 233898 267312 311864 439951 467796 623728 879902 935592 1319853 1421989 1759804 1871184 2639706 2843978 3079657 3519608 4265967 5279412 5687956 6159314 7039216 8531934 9238971 9953923 10558824 11375912 12318628 17063868 18477942 19907846 21117648 22751824 24637256 29861769 34127736 36955884 39815692 49274512 59723538 68255472 73911768 79631384 112337131 119447076 147823536 159262768 224674262 238894152 337011393 449348524 477788304 674022786 786359917 898697048 1348045572 1572719834 1797394096 2359079751 2696091144 3145439668 4718159502 5392182288 6290879336 7919056741 9436319004 12581758672 15838113482 18872638008 23757170223 31676226964 37745276016 47514340446 55433397187 63352453928 95028680892 110866794374 126704907856 166300191561 190057361784 221733588748 332600383122 380114723568 443467177496 625605482539 665200766244 886934354992 1251210965078 1330401532488 1876816447617 2502421930156 2660803064976 3753632895234 4379238377773 5004843860312 7507265790468 8758476755546 10009687720624 13137715133319 15014531580936 17516953511092 26275430266638 30029063161872 35033907022184 52550860533276 70067814044368 105101721066552 210203442133104