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102121442214 = 2311107131167661
BaseRepresentation
bin101111100011011101…
…0011000101110100110
3100202121000111202212120
41133012322120232212
53133121042122324
6114525224530410
710243443636141
oct1370672305646
9322530452776
10102121442214
113a34498a030
1217960320a06
1398261972ac
144d2aacd058
1529ca5da179
hex17c6e98ba6

102121442214 has 128 divisors (see below), whose sum is σ = 228311322624. Its totient is φ = 30194736000.

The previous prime is 102121442209. The next prime is 102121442233. The reversal of 102121442214 is 412244121201.

It is a happy number.

102121442214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 154495044 + ... + 154495704.

It is an arithmetic number, because the mean of its divisors is an integer number (1783682208).

Almost surely, 2102121442214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121442214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114155661312).

102121442214 is an abundant number, since it is smaller than the sum of its proper divisors (126189880410).

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

102121442214 is a wasteful number, since it uses less digits than its factorization.

102121442214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 102121442214 its reverse (412244121201), we get a palindrome (514365563415).

The spelling of 102121442214 in words is "one hundred two billion, one hundred twenty-one million, four hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 107 131 167 214 262 321 334 393 501 642 661 786 1002 1177 1322 1441 1837 1983 2354 2882 3531 3674 3966 4323 5511 7062 7271 8646 11022 14017 14542 17869 21813 21877 28034 35738 42051 43626 43754 53607 65631 70727 84102 86591 107214 110387 131262 141454 154187 173182 196559 212181 220774 240647 259773 308374 331161 393118 424362 462561 481294 519546 589677 662322 721941 777997 925122 952501 1179354 1214257 1443882 1555994 1905002 2333991 2340839 2428514 2857503 3642771 4667982 4681678 5715006 7022517 7285542 9265237 11811409 14045034 14460697 18530474 23622818 25749229 27795711 28921394 35434227 43382091 51498458 55591422 70868454 77247687 86764182 101917607 129925499 154495374 159067667 203835214 259850998 305752821 318135334 389776497 477203001 611505642 779552994 954406002 1547294579 3094589158 4641883737 9283767474 17020240369 34040480738 51060721107 102121442214