Search a number
-
+
20402433033102 = 2329755794722153
BaseRepresentation
bin1001010001110010011111…
…10001100000001110001110
32200020110020122012202121200
410220321033301200032032
510133233140324024402
6111220425350410330
74204012211246601
oct450711761401616
980213218182550
1020402433033102
11655669461419a
1223561656609a6
13b4cc30a05423
145076a95dc338
15255aaa17d21c
hex128e4fc6038e

20402433033102 has 96 divisors (see below), whose sum is σ = 44790444290592. Its totient is φ = 6711218122752.

The previous prime is 20402433033097. The next prime is 20402433033107. The reversal of 20402433033102 is 20133033420402.

20402433033102 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 43 + 303 + 310 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20402433033097) and next prime (20402433033107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20402433033107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920967258 + ... + 920989410.

It is an arithmetic number, because the mean of its divisors is an integer number (466567128027).

Almost surely, 220402433033102 is an apocalyptic number.

20402433033102 is an abundant number, since it is smaller than the sum of its proper divisors (24388011257490).

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

20402433033102 is a wasteful number, since it uses less digits than its factorization.

20402433033102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23762 (or 23759 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20402433033102 its reverse (20133033420402), we get a palindrome (40535466453504).

The spelling of 20402433033102 in words is "twenty trillion, four hundred two billion, four hundred thirty-three million, thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 97 194 291 557 582 873 947 1114 1671 1746 1894 2841 3342 5013 5682 8523 10026 17046 22153 44306 54029 66459 91859 108058 132918 162087 183718 199377 275577 324174 398754 486261 527479 551154 826731 972522 1054958 1582437 1653462 2148841 3164874 4297682 4747311 6446523 9494622 12339221 12893046 19339569 20978891 24678442 37017663 38679138 41957782 51165463 62936673 74035326 102330926 111052989 125873346 153496389 188810019 222105978 306992778 377620038 460489167 920978334 1196904437 2034952427 2393808874 3590713311 4069904854 6104857281 7181426622 10772139933 11685242287 12209714562 18314571843 21544279866 23370484574 35055726861 36629143686 70111453722 105167180583 210334361166 1133468501839 2266937003678 3400405505517 6800811011034 10201216516551 20402433033102