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201024040120 = 23589137412171
BaseRepresentation
bin1011101100110111110…
…1110110110010111000
3201012212201012022110021
42323031331312302320
511243144123240440
6232203230500224
720344364101501
oct2731575666270
9635781168407
10201024040120
1178287914752
1232b62664674
1315c58525687
149a300c9ba8
15536830384a
hex2ecdf76cb8

201024040120 has 64 divisors (see below), whose sum is σ = 460725861600. Its totient is φ = 78925608960.

The previous prime is 201024040099. The next prime is 201024040159. The reversal of 201024040120 is 21040420102.

It is a super-2 number, since 2×2010240401202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201024040094 and 201024040103.

It is a congruent number.

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, 281635 + ... + 693805.

Almost surely, 2201024040120 is an apocalyptic number.

201024040120 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 201024040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230362930800).

201024040120 is an abundant number, since it is smaller than the sum of its proper divisors (259701821480).

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

201024040120 is a wasteful number, since it uses less digits than its factorization.

201024040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412408 (or 412404 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201024040120 its reverse (21040420102), we get a palindrome (222064460222).

The spelling of 201024040120 in words is "two hundred one billion, twenty-four million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 137 178 274 356 445 548 685 712 890 1096 1370 1780 2740 3560 5480 12193 24386 48772 60965 97544 121930 243860 412171 487720 824342 1648684 2060855 3297368 4121710 8243420 16486840 36683219 56467427 73366438 112934854 146732876 183416095 225869708 282337135 293465752 366832190 451739416 564674270 733664380 1129348540 1467328760 2258697080 5025601003 10051202006 20102404012 25128005015 40204808024 50256010030 100512020060 201024040120