Search a number
-
+
102000121112012 = 221719598179163601
BaseRepresentation
bin10111001100010011000000…
…111111000110010111001100
3111101011010010211001111200212
4113030103000333012113030
5101332132222001041022
61000534113031341552
730325160042112464
oct2714230077062714
9441133124044625
10102000121112012
112a556010259232
12b5343822218b8
1344bb754803416
141b28b917caba4
15bbd3cd2223e2
hex5cc4c0fc65cc

102000121112012 has 96 divisors (see below), whose sum is σ = 202345571232000. Its totient is φ = 44697258086400.

The previous prime is 102000121112011. The next prime is 102000121112039. The reversal of 102000121112012 is 210211121000201.

It is a super-2 number, since 2×1020001211120122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102000121112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623387012 + ... + 623550612.

It is an arithmetic number, because the mean of its divisors is an integer number (2107766367000).

Almost surely, 2102000121112012 is an apocalyptic number.

It is an amenable number.

102000121112012 is a deficient number, since it is larger than the sum of its proper divisors (100345450119988).

102000121112012 is a wasteful number, since it uses less digits than its factorization.

102000121112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171879 (or 171877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102000121112012 its reverse (210211121000201), we get a palindrome (312211242112213).

The spelling of 102000121112012 in words is "one hundred two trillion, one hundred twenty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 17 19 34 38 59 68 76 118 236 323 646 1003 1121 1292 2006 2242 4012 4484 8179 16358 19057 32716 38114 76228 139043 155401 163601 278086 310802 327202 482561 556172 621604 654404 965122 1930244 2641817 2781217 3108419 5283634 5562434 6216838 8203537 9168659 9652459 10567268 11124868 12433676 16407074 18337318 19304918 32814148 36674636 38609836 52843123 105686246 155867203 164091803 183396721 211372492 311734406 328183606 366793442 623468812 656367212 733586884 1338092579 2676185158 3117744257 5352370316 6235488514 12470977028 22747573843 25423759001 45495147686 50847518002 78947462161 90990295372 101695036004 157894924322 315789848644 432203903017 864407806034 1342106856737 1500001781059 1728815612068 2684213713474 3000003562118 5368427426948 6000007124236 25500030278003 51000060556006 102000121112012