Search a number
-
+
112020012100000 = 25558313496387
BaseRepresentation
bin11001011110000110110001…
…000001110110100110100000
3112200122000020020200122102001
4121132012301001312212200
5104140313441044200000
61034125141053333344
732411115220205524
oct3136066101664640
9480560206618361
10112020012100000
11327694695249a4
121069228b497254
134a67598888b04
141d93b24545d84
15ce3d6e54b46a
hex65e1b10769a0

112020012100000 has 144 divisors (see below), whose sum is σ = 278977789966176. Its totient is φ = 44268146080000.

The previous prime is 112020012099967. The next prime is 112020012100001. The reversal of 112020012100000 is 1210020211.

It is a super-2 number, since 2×1120200121000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 112020012100000.

It is not an unprimeable number, because it can be changed into a prime (112020012100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551807 + ... + 15048193.

It is an arithmetic number, because the mean of its divisors is an integer number (1937345763654).

Almost surely, 2112020012100000 is an apocalyptic number.

112020012100000 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 112020012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139488894983088).

112020012100000 is an abundant number, since it is smaller than the sum of its proper divisors (166957777866176).

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

112020012100000 is an frugal number, since it uses more digits than its factorization.

112020012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13496505 (or 13496477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112020012100000 its reverse (1210020211), we get a palindrome (112021222120211).

The spelling of 112020012100000 in words is "one hundred twelve trillion, twenty billion, twelve million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 625 664 800 830 1000 1250 1328 1660 2000 2075 2500 2656 3125 3320 4000 4150 5000 6250 6640 8300 10000 10375 12500 13280 16600 20000 20750 25000 33200 41500 50000 51875 66400 83000 100000 103750 166000 207500 259375 332000 415000 518750 830000 1037500 1660000 2075000 4150000 8300000 13496387 26992774 53985548 67481935 107971096 134963870 215942192 269927740 337409675 431884384 539855480 674819350 1079710960 1120200121 1349638700 1687048375 2159421920 2240400242 2699277400 3374096750 4480800484 5398554800 5601000605 6748193500 8435241875 8961600968 10797109600 11202001210 13496387000 16870483750 17923201936 22404002420 26992774000 28005003025 33740967500 35846403872 42176209375 44808004840 53985548000 56010006050 67481935000 84352418750 89616009680 112020012100 134963870000 140025015125 168704837500 179232019360 224040024200 269927740000 280050030250 337409675000 448080048400 560100060500 674819350000 700125075625 896160096800 1120200121000 1349638700000 1400250151250 2240400242000 2800500302500 3500625378125 4480800484000 5601000605000 7001250756250 11202001210000 14002501512500 22404002420000 28005003025000 56010006050000 112020012100000