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102022130220 = 223512744929819
BaseRepresentation
bin101111100000011111…
…1100010101000101100
3100202100002122012102120
41133000333202220230
53132420131131340
6114511320152540
710241126540613
oct1370077425054
9322302565376
10102022130220
113a2a39184aa
1217933008750
13980b7349ba
144d1b83a87a
1529c1a1e4d0
hex17c0fe2a2c

102022130220 has 96 divisors (see below), whose sum is σ = 288562176000. Its totient is φ = 26930663424.

The previous prime is 102022130159. The next prime is 102022130251. The reversal of 102022130220 is 22031220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102022130220.

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, 3406471 + ... + 3436289.

It is an arithmetic number, because the mean of its divisors is an integer number (3005856000).

Almost surely, 2102022130220 is an apocalyptic number.

102022130220 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 102022130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144281088000).

102022130220 is an abundant number, since it is smaller than the sum of its proper divisors (186540045780).

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

102022130220 is a wasteful number, since it uses less digits than its factorization.

102022130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30407 (or 30405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102022130220 its reverse (22031220201), we get a palindrome (124053350421).

The spelling of 102022130220 in words is "one hundred two billion, twenty-two million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 449 508 635 762 898 1270 1347 1524 1796 1905 2245 2540 2694 3810 4490 5388 6735 7620 8980 13470 26940 29819 57023 59638 89457 114046 119276 149095 171069 178914 228092 285115 298190 342138 357828 447285 570230 596380 684276 855345 894570 1140460 1710690 1789140 3421380 3787013 7574026 11361039 13388731 15148052 18935065 22722078 26777462 37870130 40166193 45444156 53554924 56805195 66943655 75740260 80332386 113610390 133887310 160664772 200830965 227220780 267774620 401661930 803323860 1700368837 3400737674 5101106511 6801475348 8501844185 10202213022 17003688370 20404426044 25505532555 34007376740 51011065110 102022130220