Search a number
-
+
31302202222302 = 231159313125920399
BaseRepresentation
bin1110001111000000111001…
…01001001110011011011110
311002211110110021220200210020
413013200130221032123132
513100323402232103202
6150324011100053010
76410336515554024
oct707403451163336
9132743407820706
1031302202222302
119a7920a120480
1236166b0234166
131460a288656bb
147a306b1d0714
153943972095bc
hex1c781ca4e6de

31302202222302 has 128 divisors (see below), whose sum is σ = 69733923840000. Its totient is φ = 9287114753280.

The previous prime is 31302202222297. The next prime is 31302202222349. The reversal of 31302202222302 is 20322220220313.

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, 1534486699 + ... + 1534507097.

It is an arithmetic number, because the mean of its divisors is an integer number (544796280000).

Almost surely, 231302202222302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31302202222302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34866961920000).

31302202222302 is an abundant number, since it is smaller than the sum of its proper divisors (38431721617698).

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

31302202222302 is a wasteful number, since it uses less digits than its factorization.

31302202222302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22046.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31302202222302 its reverse (20322220220313), we get a palindrome (51624422442615).

The spelling of 31302202222302 in words is "thirty-one trillion, three hundred two billion, two hundred two million, two hundred twenty-two thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 313 354 626 649 939 1259 1298 1878 1947 2518 3443 3777 3894 6886 7554 10329 13849 18467 20399 20658 27698 36934 40798 41547 55401 61197 74281 83094 110802 122394 148562 203137 222843 224389 394067 406274 445686 448778 609411 673167 788134 817091 1182201 1203541 1218822 1346334 1634182 2364402 2407082 2451273 3610623 4334737 4902546 6384887 7221246 8669474 12769774 13004211 13238951 19154661 23249953 25682341 26008422 26477902 38309322 39716853 46499906 51364682 69749859 70233757 77047023 79433706 139499718 140467514 154094046 210701271 255749483 282505751 376708333 421402542 511498966 565011502 753416666 767248449 847517253 1130124999 1515258119 1534496898 1695034506 2260249998 3030516238 4143791663 4545774357 8038572733 8287583326 9091548714 12431374989 16077145466 16667839309 24115718199 24862749978 33335678618 48231436398 50003517927 88424300063 100007035854 176848600126 265272900189 474275791247 530545800378 948551582494 1422827373741 2845654747482 5217033703717 10434067407434 15651101111151 31302202222302