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102024210120 = 23357121457393
BaseRepresentation
bin101111100000100011…
…1011110011011001000
3100202100020112212111220
41133001013132123020
53132421144210440
6114511432522040
710241153322510
oct1370107363310
9322306485456
10102024210120
113a2a5009128
1217933850320
13980bcb2601
144d1bc1c840
1529c1cd08d0
hex17c11de6c8

102024210120 has 64 divisors (see below), whose sum is σ = 349797294720. Its totient is φ = 23319819264.

The previous prime is 102024210109. The next prime is 102024210121. The reversal of 102024210120 is 21012420201.

102024210120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 102024210120.

It is not an unprimeable number, because it can be changed into a prime (102024210121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60727857 + ... + 60729536.

It is an arithmetic number, because the mean of its divisors is an integer number (5465582730).

Almost surely, 2102024210120 is an apocalyptic number.

102024210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102024210120 is an abundant number, since it is smaller than the sum of its proper divisors (247773084600).

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

102024210120 is a wasteful number, since it uses less digits than its factorization.

102024210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121457414 (or 121457410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102024210120 its reverse (21012420201), we get a palindrome (123036630321).

The spelling of 102024210120 in words is "one hundred two billion, twenty-four million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 121457393 242914786 364372179 485829572 607286965 728744358 850201751 971659144 1214573930 1457488716 1700403502 1821860895 2429147860 2550605253 2914977432 3400807004 3643721790 4251008755 4858295720 5101210506 6801614008 7287443580 8502017510 10202421012 12753026265 14574887160 17004035020 20404842024 25506052530 34008070040 51012105060 102024210120