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102121432210 = 25723477191877
BaseRepresentation
bin101111100011011101…
…0010110010010010010
3100202121000111021011001
41133012322112102102
53133121041312320
6114525224412214
710243443565030
oct1370672262222
9322530437131
10102121432210
113a344982566
121796031706a
139826192885
144d2aac9550
1529ca5d720a
hex17c6e96492

102121432210 has 128 divisors (see below), whose sum is σ = 224307118080. Its totient is φ = 32715158784.

The previous prime is 102121432181. The next prime is 102121432211. The reversal of 102121432210 is 12234121201.

It is not an unprimeable number, because it can be changed into a prime (102121432211) 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 63 ways as a sum of consecutive naturals, for example, 54405792 + ... + 54407668.

It is an arithmetic number, because the mean of its divisors is an integer number (1752399360).

Almost surely, 2102121432210 is an apocalyptic number.

102121432210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121432210 is an abundant number, since it is smaller than the sum of its proper divisors (122185685870).

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

102121432210 is a wasteful number, since it uses less digits than its factorization.

102121432210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102121432210 its reverse (12234121201), we get a palindrome (114355553411).

The spelling of 102121432210 in words is "one hundred two billion, one hundred twenty-one million, four hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 23 35 46 47 70 94 115 161 230 235 322 329 470 658 719 805 1081 1438 1610 1645 1877 2162 3290 3595 3754 5033 5405 7190 7567 9385 10066 10810 13139 15134 16537 18770 25165 26278 33074 33793 37835 43171 50330 65695 67586 75670 82685 86342 88219 115759 131390 165370 168965 176438 215855 231518 236551 302197 337930 431710 441095 473102 578795 604394 617533 777239 882190 1157590 1182755 1235066 1349563 1510985 1554478 2029037 2365510 2699126 3021970 3087665 3886195 4058074 5440673 6175330 6747815 7772390 9446941 10145185 10881346 13495630 14203259 18893882 20290370 27203365 28406518 31039949 47234705 54406730 62079898 63429461 71016295 94469410 126858922 142032590 155199745 217279643 310399490 317147305 434559286 444006227 634294610 888012454 1086398215 1458877603 2172796430 2220031135 2917755206 4440062270 7294388015 10212143221 14588776030 20424286442 51060716105 102121432210