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102024144020 = 22531592789069
BaseRepresentation
bin101111100000100011…
…1001110010010010100
3100202100020102111211202
41133001013032102110
53132421140102040
6114511431252032
710241152626011
oct1370107162224
9322306374752
10102024144020
113a2a4a734a7
121793381a018
13980bc8b4b6
144d1bc02708
1529c1cbb015
hex17c11ce494

102024144020 has 48 divisors (see below), whose sum is σ = 224910604800. Its totient is φ = 38823826560.

The previous prime is 102024143993. The next prime is 102024144031. The reversal of 102024144020 is 20441420201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102024143983 and 102024144001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357955 + ... + 1431114.

It is an arithmetic number, because the mean of its divisors is an integer number (4685637600).

Almost surely, 2102024144020 is an apocalyptic number.

102024144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102024144020 is an abundant number, since it is smaller than the sum of its proper divisors (122886460780).

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

102024144020 is a wasteful number, since it uses less digits than its factorization.

102024144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789168 (or 2789166 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102024144020 its reverse (20441420201), we get a palindrome (122465564221).

The spelling of 102024144020 in words is "one hundred two billion, twenty-four million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 7316 9145 18290 36580 2789069 5578138 11156276 13945345 27890690 55781380 86461139 164555071 172922278 329110142 345844556 432305695 658220284 822775355 864611390 1645550710 1729222780 3291101420 5101207201 10202414402 20404828804 25506036005 51012072010 102024144020