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20310101120 = 275411973929
BaseRepresentation
bin10010111010100100…
…111000110010000000
31221102110001001000102
4102322210320302000
5313043341213440
613155203541532
71316206003541
oct227244706200
957373031012
1020310101120
118682582641
123b2998a8a8
131bb8a0131a
14da95684c8
157dd0c2b15
hex4ba938c80

20310101120 has 128 divisors (see below), whose sum is σ = 50003276400. Its totient is φ = 7883653120.

The previous prime is 20310101111. The next prime is 20310101153. The reversal of 20310101120 is 2110101302.

It can be written as a sum of positive squares in 8 ways, for example, as 5622600256 + 14687500864 = 74984^2 + 121192^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5167316 + ... + 5171244.

Almost surely, 220310101120 is an apocalyptic number.

20310101120 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 20310101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25001638200).

20310101120 is an abundant number, since it is smaller than the sum of its proper divisors (29693175280).

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

20310101120 is a wasteful number, since it uses less digits than its factorization.

20310101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20310101120 its reverse (2110101302), we get a palindrome (22420202422).

The spelling of 20310101120 in words is "twenty billion, three hundred ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 197 205 320 328 394 410 640 656 788 820 985 1312 1576 1640 1970 2624 3152 3280 3929 3940 5248 6304 6560 7858 7880 8077 12608 13120 15716 15760 16154 19645 25216 26240 31432 31520 32308 39290 40385 62864 63040 64616 78580 80770 125728 126080 129232 157160 161089 161540 251456 258464 314320 322178 323080 502912 516928 628640 644356 646160 774013 805445 1033856 1257280 1288712 1292320 1548026 1610890 2514560 2577424 2584640 3096052 3221780 3870065 5154848 5169280 6192104 6443560 7740130 10309696 12384208 12887120 15480260 20619392 24768416 25774240 30960520 31734533 49536832 51548480 61921040 63469066 99073664 103096960 123842080 126938132 158672665 247684160 253876264 317345330 495368320 507752528 634690660 1015505056 1269381320 2031010112 2538762640 4062020224 5077525280 10155050560 20310101120