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102014312430220 = 225175353201106411
BaseRepresentation
bin10111001100100000001110…
…110110101011101010001100
3111101012110202211112011111221
4113030200032312223222030
5101332400302440231340
61000544421140453124
730326201522246161
oct2714401666535214
9441173684464457
10102014312430220
112a56103294a693
12b5370829aa1a4
1344bcba6949a28
141b2973a466068
15bbd95e04744a
hex5cc80edaba8c

102014312430220 has 96 divisors (see below), whose sum is σ = 231118185888576. Its totient is φ = 37679695872000.

The previous prime is 102014312430137. The next prime is 102014312430257. The reversal of 102014312430220 is 22034213410201.

It is a super-2 number, since 2×1020143124302202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958628815 + ... + 958735225.

It is an arithmetic number, because the mean of its divisors is an integer number (2407481103006).

Almost surely, 2102014312430220 is an apocalyptic number.

102014312430220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102014312430220 is an abundant number, since it is smaller than the sum of its proper divisors (129103873458356).

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

102014312430220 is a wasteful number, since it uses less digits than its factorization.

102014312430220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159691 (or 159689 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 102014312430220 its reverse (22034213410201), we get a palindrome (124048525840421).

The spelling of 102014312430220 in words is "one hundred two trillion, fourteen billion, three hundred twelve million, four hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 53201 106402 106411 212804 212822 266005 425644 532010 532055 904417 1064020 1064110 1808834 1808987 2128220 2819653 3617668 3617974 4522085 5639306 5639783 7235948 9044170 9044935 11278612 11279566 14098265 18088340 18089870 22559132 28196530 28198915 36179740 47934101 56393060 56397830 95868202 95876311 112795660 191736404 191752622 239670505 383505244 479341010 479381555 958682020 958763110 1917526220 5661171611 11322343222 22644686444 28305858055 56611716110 96239917387 113223432220 192479834774 300042095383 384959669548 481199586935 600084190766 962399173870 1200168381532 1500210476915 1924798347740 3000420953830 5100715621511 6000841907660 10201431243022 20402862486044 25503578107555 51007156215110 102014312430220