Search a number
-
+
21131321213002 = 271113121712297057
BaseRepresentation
bin1001100111000000001001…
…11001010000000001001010
32202211010122002220202021111
410303200010321100001022
510232203421212304002
6112535332302000534
74310454560456140
oct463400471200112
982733562822244
1021131321213002
116807819a28a30
12245348487614a
13ba38a10a8630
14530a93413590
15269a1a4413d7
hex133804e5004a

21131321213002 has 128 divisors (see below), whose sum is σ = 42633852387840. Its totient is φ = 7586177679360.

The previous prime is 21131321212997. The next prime is 21131321213029. The reversal of 21131321213002 is 20031212313112.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2994373858 + ... + 2994380914.

It is an arithmetic number, because the mean of its divisors is an integer number (333076971780).

Almost surely, 221131321213002 is an apocalyptic number.

21131321213002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21131321213002 is an abundant number, since it is smaller than the sum of its proper divisors (21502531174838).

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

21131321213002 is a wasteful number, since it uses less digits than its factorization.

21131321213002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21131321213002 its reverse (20031212313112), we get a palindrome (41162533526114).

The spelling of 21131321213002 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred thirteen thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 1217 1229 2002 2434 2458 7057 8519 8603 13387 13519 14114 15821 15977 17038 17206 26774 27038 31642 31954 49399 77627 91741 93709 94633 98798 110747 111839 155254 174031 175747 183482 187418 189266 221494 223678 348062 351494 543389 642187 1009151 1086778 1218217 1230229 1284374 1495693 2018302 2436434 2460458 2991386 7064057 8588369 8673053 10469851 14128114 16452623 17176738 17346106 19444009 20939702 32905246 38888018 60118583 60711371 94472059 95403583 111648797 112749689 115168361 120237166 121422742 136108063 188944118 190807166 213884099 223297594 225499378 230336722 272216126 427768198 661304413 667825081 781541579 789247823 1228136767 1240246579 1322608826 1335650162 1497188693 1563083158 1578495646 2456273534 2480493158 2994377386 8596957369 8681726053 10555105501 17193914738 17363452106 21110211002 73885738507 116106160511 137216371513 147771477014 232212321022 274432743026 812743123577 960514600591 1509380086643 1625486247154 1921029201182 3018760173286 10565660606501 21131321213002