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102022020210 = 235113110979091
BaseRepresentation
bin101111100000011111…
…1000111110001110010
3100202100002102121112010
41133000333013301302
53132420114121320
6114511313543350
710241125602105
oct1370077076162
9322302377463
10102022020210
113a2a3852890
1217932b74b56
13980b6c68c6
144d1b80c73c
1529c19ebae0
hex17c0fc7c72

102022020210 has 128 divisors (see below), whose sum is σ = 276010426368. Its totient is φ = 23910336000.

The previous prime is 102022020193. The next prime is 102022020227. The reversal of 102022020210 is 12020220201.

It is an interprime number because it is at equal distance from previous prime (102022020193) and next prime (102022020227).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11217765 + ... + 11226855.

It is an arithmetic number, because the mean of its divisors is an integer number (2156331456).

Almost surely, 2102022020210 is an apocalyptic number.

102022020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138005213184).

102022020210 is an abundant number, since it is smaller than the sum of its proper divisors (173988406158).

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

102022020210 is a wasteful number, since it uses less digits than its factorization.

102022020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102022020210 its reverse (12020220201), we get a palindrome (114042240411).

Subtracting from 102022020210 its reverse (12020220201), we obtain a square (90001800009 = 3000032).

The spelling of 102022020210 in words is "one hundred two billion, twenty-two million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1097 1705 2046 2194 3291 3410 5115 5485 6582 9091 10230 10970 12067 16455 18182 24134 27273 32910 34007 36201 45455 54546 60335 68014 72402 90910 100001 102021 120670 136365 170035 181005 200002 204042 272730 281821 300003 340070 362010 374077 500005 510105 563642 600006 748154 845463 1000010 1020210 1122231 1409105 1500015 1690926 1870385 2244462 2818210 3000030 3100031 3740770 4227315 5611155 6200062 8454630 9300093 9972827 11222310 15500155 18600186 19945654 29918481 31000310 46500465 49864135 59836962 93000930 99728270 109701097 149592405 219402194 299184810 309157637 329103291 548505485 618315274 658206582 927472911 1097010970 1545788185 1645516455 1854945822 3091576370 3291032910 3400734007 4637364555 6801468014 9274729110 10202202021 17003670035 20404404042 34007340070 51011010105 102022020210