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102123322120 = 23523791405109
BaseRepresentation
bin101111100011100000…
…1100011101100001000
3100202121011001021121201
41133013001203230020
53133122032301440
6114525333113544
710243465626001
oct1370701435410
9322534037551
10102123322120
113a345a53476
1217960a888b4
1398266a4b71
144d2b05c1a8
1529ca85c19a
hex17c7063b08

102123322120 has 64 divisors (see below), whose sum is σ = 242803008000. Its totient is φ = 38578645248.

The previous prime is 102123322099. The next prime is 102123322123. The reversal of 102123322120 is 21223321201.

It is not an unprimeable number, because it can be changed into a prime (102123322123) by changing a digit.

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, 629875 + ... + 775234.

It is an arithmetic number, because the mean of its divisors is an integer number (3793797000).

Almost surely, 2102123322120 is an apocalyptic number.

102123322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123322120 is an abundant number, since it is smaller than the sum of its proper divisors (140679685880).

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

102123322120 is a wasteful number, since it uses less digits than its factorization.

102123322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405222 (or 1405218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102123322120 its reverse (21223321201), we get a palindrome (123346643321).

The spelling of 102123322120 in words is "one hundred two billion, one hundred twenty-three million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 395 460 632 790 920 1580 1817 3160 3634 7268 9085 14536 18170 36340 72680 1405109 2810218 5620436 7025545 11240872 14051090 28102180 32317507 56204360 64635014 111003611 129270028 161587535 222007222 258540056 323175070 444014444 555018055 646350140 888028888 1110036110 1292700280 2220072220 2553083053 4440144440 5106166106 10212332212 12765415265 20424664424 25530830530 51061661060 102123322120