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102044223320 = 235136123313807
BaseRepresentation
bin101111100001001001…
…1110100011101011000
3100202101122012122110112
41133002103310131120
53132441310121240
6114513425503452
710241515405154
oct1370223643530
9322348178415
10102044223320
113a305338366
121793a4a1b88
13981319ba40
144d2074c064
1529c3935665
hex17c24f4758

102044223320 has 128 divisors (see below), whose sum is σ = 252411344640. Its totient is φ = 36898467840.

The previous prime is 102044223311. The next prime is 102044223331. The reversal of 102044223320 is 23322440201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7383857 + ... + 7397663.

It is an arithmetic number, because the mean of its divisors is an integer number (1971963630).

Almost surely, 2102044223320 is an apocalyptic number.

102044223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102044223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126205672320).

102044223320 is an abundant number, since it is smaller than the sum of its proper divisors (150367121320).

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

102044223320 is a wasteful number, since it uses less digits than its factorization.

102044223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14125 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 102044223320 its reverse (23322440201), we get a palindrome (125366663521).

The spelling of 102044223320 in words is "one hundred two billion, forty-four million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 233 244 260 305 466 488 520 610 793 932 1165 1220 1586 1864 2330 2440 3029 3172 3965 4660 6058 6344 7930 9320 12116 13807 14213 15145 15860 24232 27614 28426 30290 31720 55228 56852 60580 69035 71065 110456 113704 121160 138070 142130 179491 184769 276140 284260 358982 369538 552280 568520 717964 739076 842227 897455 923845 1435928 1478152 1684454 1794910 1847690 3217031 3368908 3589820 3695380 4211135 6434062 6737816 7179640 7390760 8422270 10948951 12868124 16085155 16844540 21897902 25736248 32170310 33689080 41821403 43795804 54744755 64340620 83642806 87591608 109489510 128681240 167285612 196238891 209107015 218979020 334571224 392477782 418214030 437958040 784955564 836428060 981194455 1569911128 1672856120 1962388910 2551105583 3924777820 5102211166 7849555640 10204422332 12755527915 20408844664 25511055830 51022111660 102044223320