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102202234120 = 2357253983849
BaseRepresentation
bin101111100101110111…
…0100101010100001000
3100202210122112102112101
41133023232211110020
53133302232442440
6114541232323144
710245444441100
oct1371356452410
9322718472471
10102202234120
113a3865511a8
12179833a34b4
139839b43c5c
144d37720200
1529d274869a
hex17cbba5508

102202234120 has 96 divisors (see below), whose sum is σ = 272546127000. Its totient is φ = 34379584512.

The previous prime is 102202234111. The next prime is 102202234129. The reversal of 102202234120 is 21432202201.

It is an interprime number because it is at equal distance from previous prime (102202234111) and next prime (102202234129).

It can be written as a sum of positive squares in 4 ways, for example, as 96884032644 + 5318201476 = 311262^2 + 72926^2 .

It is not an unprimeable number, because it can be changed into a prime (102202234129) 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 23 ways as a sum of consecutive naturals, for example, 388045 + ... + 595804.

Almost surely, 2102202234120 is an apocalyptic number.

102202234120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202234120 is an abundant number, since it is smaller than the sum of its proper divisors (170343892880).

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

102202234120 is a wasteful number, since it uses less digits than its factorization.

102202234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983927 (or 983916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 102202234120 its reverse (21432202201), we get a palindrome (123634436321).

The spelling of 102202234120 in words is "one hundred two billion, two hundred two million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 53 56 70 98 106 140 196 212 245 265 280 371 392 424 490 530 742 980 1060 1484 1855 1960 2120 2597 2968 3710 5194 7420 10388 12985 14840 20776 25970 51940 103880 983849 1967698 3935396 4919245 6886943 7870792 9838490 13773886 19676980 27547772 34434715 39353960 48208601 52143997 55095544 68869430 96417202 104287994 137738860 192834404 208575988 241043005 260719985 275477720 365007979 385668808 417151976 482086010 521439970 730015958 964172020 1042879940 1460031916 1825039895 1928344040 2085759880 2555055853 2920063832 3650079790 5110111706 7300159580 10220223412 12775279265 14600319160 20440446824 25550558530 51101117060 102202234120