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102122407450 = 25271933745569
BaseRepresentation
bin101111100011011111…
…0000100011000011010
3100202121002022210221001
41133012332010120122
53133121314014300
6114525301335214
710243455066220
oct1370676043032
9322532283831
10102122407450
113a345489248
121796070750a
13982644473b
144d2aca0b10
1529ca72b16a
hex17c6f8461a

102122407450 has 96 divisors (see below), whose sum is σ = 229191580800. Its totient is φ = 33071431680.

The previous prime is 102122407423. The next prime is 102122407459. The reversal of 102122407450 is 54704221201.

It is a super-2 number, since 2×1021224074502 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102122407459) 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, 2218266 + ... + 2263834.

It is an arithmetic number, because the mean of its divisors is an integer number (2387412300).

Almost surely, 2102122407450 is an apocalyptic number.

102122407450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122407450 is an abundant number, since it is smaller than the sum of its proper divisors (127069173350).

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

102122407450 is a wasteful number, since it uses less digits than its factorization.

102122407450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45944 (or 45939 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 102122407450 its reverse (54704221201), we get a palindrome (156826628651).

The spelling of 102122407450 in words is "one hundred two billion, one hundred twenty-two million, four hundred seven thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 19 25 35 38 50 70 95 133 175 190 266 337 350 475 665 674 950 1330 1685 2359 3325 3370 4718 6403 6650 8425 11795 12806 16850 23590 32015 44821 45569 58975 64030 89642 91138 117950 160075 224105 227845 318983 320150 448210 455690 637966 865811 1120525 1139225 1594915 1731622 2241050 2278450 3189830 4329055 6060677 7974575 8658110 12121354 15356753 15949150 21645275 30303385 30713506 43290550 60606770 76783765 107497271 151516925 153567530 214994542 291778307 303033850 383918825 537486355 583556614 767837650 1074972710 1458891535 2042448149 2687431775 2917783070 4084896298 5374863550 7294457675 10212240745 14588915350 20424481490 51061203725 102122407450