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102010342434 = 237111337459047
BaseRepresentation
bin101111100000001001…
…0100100110000100010
3100202022021110022121220
41133000102210300202
53132404121424214
6114510215355510
710240624414110
oct1370022446042
9322267408556
10102010342434
113a2981a7130
121792b082b96
139809168490
144d1a04cab0
1529c09919a9
hex17c04a4c22

102010342434 has 128 divisors (see below), whose sum is σ = 281333993472. Its totient is φ = 23796944640.

The previous prime is 102010342433. The next prime is 102010342459. The reversal of 102010342434 is 434243010201.

It is a super-2 number, since 2×1020103424342 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102010342433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7302 + ... + 451745.

It is an arithmetic number, because the mean of its divisors is an integer number (2197921824).

Almost surely, 2102010342434 is an apocalyptic number.

102010342434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010342434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140666996736).

102010342434 is an abundant number, since it is smaller than the sum of its proper divisors (179323651038).

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

102010342434 is a wasteful number, since it uses less digits than its factorization.

102010342434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459120.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102010342434 its reverse (434243010201), we get a palindrome (536253352635).

It can be divided in two parts, 102010 and 342434, that added together give a palindrome (444444).

The spelling of 102010342434 in words is "one hundred two billion, ten million, three hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 459047 918094 1377141 2754282 3213329 5049517 5967611 6426658 9639987 10099034 11935222 15148551 16984739 17902833 19279974 30297102 33969478 35346619 35805666 41773277 50954217 65643721 70693238 83546554 101908434 106039857 118893173 125319831 131287442 186832129 196931163 212079714 220801607 237786346 250639662 356679519 373664258 393862326 441603214 459506047 560496387 662404821 713359038 919012094 1120992774 1307824903 1324809642 1378518141 1545611249 2428817677 2615649806 2757036282 3091222498 3923474709 4636833747 4857635354 7286453031 7846949418 9273667494 14572906062 17001723739 34003447478 51005171217 102010342434