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20300123140 = 22511972633617
BaseRepresentation
bin10010111001111110…
…110100110000000100
31221101202021002210121
4102321332310300010
5313033312420030
613154210031324
71316025125323
oct227176646004
957352232717
1020300123140
118677987a80
123b26578544
131bb69197ab
14da80cc0ba
157dc2a147a
hex4b9fb4c04

20300123140 has 96 divisors (see below), whose sum is σ = 47176867584. Its totient is φ = 7275970560.

The previous prime is 20300123101. The next prime is 20300123159. The reversal of 20300123140 is 4132100302.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 5610612 + ... + 5614228.

It is an arithmetic number, because the mean of its divisors is an integer number (491425704).

Almost surely, 220300123140 is an apocalyptic number.

20300123140 is a gapful number since it is divisible by the number (20) 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 20300123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23588433792).

20300123140 is an abundant number, since it is smaller than the sum of its proper divisors (26876744444).

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

20300123140 is a wasteful number, since it uses less digits than its factorization.

20300123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20300123140 its reverse (4132100302), we get a palindrome (24432223442).

The spelling of 20300123140 in words is "twenty billion, three hundred million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 263 388 485 526 970 1052 1067 1315 1940 2134 2630 2893 3617 4268 5260 5335 5786 7234 10670 11572 14465 14468 18085 21340 25511 28930 36170 39787 51022 57860 72340 79574 102044 127555 159148 198935 255110 280621 350849 397870 510220 561242 701698 795740 951271 1122484 1403105 1403396 1754245 1902542 2806210 3508490 3805084 3859339 4756355 5612420 7016980 7718678 9512710 10463981 15437356 19025420 19296695 20927962 38593390 41855924 52319905 77186780 92273287 104639810 184546574 209279620 369093148 461366435 922732870 1015006157 1845465740 2030012314 4060024628 5075030785 10150061570 20300123140