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102123203420 = 225717229318713
BaseRepresentation
bin101111100011100000…
…1000110101101011100
3100202121010211020210102
41133013001012231130
53133122020002140
6114525330400232
710243464622640
oct1370701065534
9322533736712
10102123203420
113a345982277
1217960a30078
139826662b24
144d2b02ac20
1529ca836e15
hex17c7046b5c

102123203420 has 96 divisors (see below), whose sum is σ = 259640131968. Its totient is φ = 32937910272.

The previous prime is 102123203401. The next prime is 102123203431. The reversal of 102123203420 is 24302321201.

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 = 102123203392 and 102123203401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5447984 + ... + 5466696.

It is an arithmetic number, because the mean of its divisors is an integer number (2704584708).

Almost surely, 2102123203420 is an apocalyptic number.

102123203420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123203420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129820065984).

102123203420 is an abundant number, since it is smaller than the sum of its proper divisors (157516928548).

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

102123203420 is a wasteful number, since it uses less digits than its factorization.

102123203420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102123203420 its reverse (24302321201), we get a palindrome (126425524621).

The spelling of 102123203420 in words is "one hundred two billion, one hundred twenty-three million, two hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2293 2380 4586 9172 11465 16051 18713 22930 32102 37426 38981 45860 64204 74852 77962 80255 93565 130991 155924 160510 187130 194905 261982 272867 318121 321020 374260 389810 523964 545734 636242 654955 779620 1091468 1272484 1309910 1364335 1590605 2226847 2619820 2728670 3181210 4453694 5457340 6362420 8907388 11134235 22268470 42908909 44536940 85817818 171635636 214544545 300362363 429089090 600724726 729451453 858178180 1201449452 1458902906 1501811815 2917805812 3003623630 3647257265 5106160171 6007247260 7294514530 10212320342 14589029060 20424640684 25530800855 51061601710 102123203420