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102011342202 = 232711148149697
BaseRepresentation
bin101111100000001011…
…0011000110101111010
3100202022100100010001100
41133000112120311322
53132404400422302
6114510253032230
710240636046640
oct1370026306572
9322270303040
10102011342202
113a29881a290
121792b485676
139809428563
144d1a22d190
1529c0adcd1c
hex17c0598d7a

102011342202 has 96 divisors (see below), whose sum is σ = 275754720384. Its totient is φ = 26478028800.

The previous prime is 102011342201. The next prime is 102011342339. The reversal of 102011342202 is 202243110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102011342201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027818 + ... + 2077514.

It is an arithmetic number, because the mean of its divisors is an integer number (2872445004).

Almost surely, 2102011342202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011342202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137877360192).

102011342202 is an abundant number, since it is smaller than the sum of its proper divisors (173743378182).

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

102011342202 is a wasteful number, since it uses less digits than its factorization.

102011342202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51204 (or 51201 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102011342202 its reverse (202243110201), we get a palindrome (304254452403).

The spelling of 102011342202 in words is "one hundred two billion, eleven million, three hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1481 2962 4443 8886 10367 13329 16291 20734 26658 31101 32582 48873 49697 62202 93303 97746 99394 114037 146619 149091 186606 228074 293238 298182 342111 347879 447273 546667 684222 695758 894546 1026333 1043637 1093334 1640001 2052666 2087274 3130911 3280002 3826669 4920003 6261822 7653338 9840006 11480007 22960014 34440021 68880042 73601257 147202514 220803771 441607542 515208799 662411313 809613827 1030417598 1324822626 1545626397 1619227654 2428841481 3091252794 4636879191 4857682962 5667296789 7286524443 9273758382 11334593578 14573048886 17001890367 34003780734 51005671101 102011342202