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102110010020220 = 223517210158303933
BaseRepresentation
bin10111001101111001010110…
…111000000001000101111100
3111101112121210011102102210010
4113031321112320001011330
5101340432300031121340
61001100405132143220
730336130144323246
oct2715712670010574
9441477704372703
10102110010020220
112a598680721444
12b55172b907b10
1344c8c17ca5027
141b30217d33096
15bc11b06c3b80
hex5cde56e0117c

102110010020220 has 144 divisors (see below), whose sum is σ = 306722537398368. Its totient is φ = 25373871206400.

The previous prime is 102110010020177. The next prime is 102110010020231. The reversal of 102110010020220 is 22020010011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102110010020196 and 102110010020205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27400627 + ... + 30903306.

It is an arithmetic number, because the mean of its divisors is an integer number (2130017620822).

Almost surely, 2102110010020220 is an apocalyptic number.

102110010020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110010020220 is an abundant number, since it is smaller than the sum of its proper divisors (204612527378148).

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

102110010020220 is a wasteful number, since it uses less digits than its factorization.

102110010020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58304080 (or 58304061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102110010020220 its reverse (22020010011201), we get a palindrome (124130020031421).

The spelling of 102110010020220 in words is "one hundred two trillion, one hundred ten billion, ten million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 289 303 340 404 505 510 578 606 867 1010 1020 1156 1212 1445 1515 1717 1734 2020 2890 3030 3434 3468 4335 5151 5780 6060 6868 8585 8670 10302 17170 17340 20604 25755 29189 34340 51510 58378 87567 103020 116756 145945 175134 291890 350268 437835 583780 875670 1751340 58303933 116607866 174911799 233215732 291519665 349823598 583039330 699647196 874558995 991166861 1166078660 1749117990 1982333722 2973500583 3498235980 3964667444 4955834305 5888697233 5947001166 9911668610 11777394466 11894002332 14867502915 16849836637 17666091699 19823337220 23554788932 29443486165 29735005830 33699673274 35332183398 50549509911 58886972330 59470011660 67399346548 70664366796 84249183185 88330458495 100107852961 101099019822 117773944660 168498366370 176660916990 200215705922 202198039644 252747549555 300323558883 336996732740 353321833980 400431411844 500539264805 505495099110 600647117766 1001078529610 1010990198220 1201294235532 1501617794415 1701833500337 2002157059220 3003235588830 3403667000674 5105500501011 6006471177660 6807334001348 8509167501685 10211001002022 17018335003370 20422002004044 25527502505055 34036670006740 51055005010110 102110010020220