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113020021200 = 24352173354347
BaseRepresentation
bin110100101000010000…
…1001010100111010000
3101210201120002221122010
41221100201022213100
53322431111134300
6123530511142520
711110512220662
oct1512041124720
9353646087563
10113020021200
1143a279457a9
1219aa2214a40
13a8720a13b8
14568231c532
152e172e3a50
hex1a5084a9d0

113020021200 has 120 divisors (see below), whose sum is σ = 362256376608. Its totient is φ = 30120727040.

The previous prime is 113020021199. The next prime is 113020021207. The reversal of 113020021200 is 2120020311.

113020021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113020021207) 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, 2052427 + ... + 2106773.

Almost surely, 2113020021200 is an apocalyptic number.

113020021200 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 113020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181128188304).

113020021200 is an abundant number, since it is smaller than the sum of its proper divisors (249236355408).

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

113020021200 is a wasteful number, since it uses less digits than its factorization.

113020021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56101 (or 56090 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 113020021200 its reverse (2120020311), we get a palindrome (115140041511).

The spelling of 113020021200 in words is "one hundred thirteen billion, twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1733 3466 5199 6932 8665 10398 13864 17330 20796 25995 27728 34660 41592 43325 51990 54347 69320 83184 86650 103980 108694 129975 138640 163041 173300 207960 217388 259950 271735 326082 346600 415920 434776 519900 543470 652164 693200 815205 869552 1039800 1086940 1304328 1358675 1630410 2079600 2173880 2608656 2717350 3260820 4076025 4347760 5434700 6521640 8152050 10869400 13043280 16304100 21738800 32608200 65216400 94183351 188366702 282550053 376733404 470916755 565100106 753466808 941833510 1130200212 1412750265 1506933616 1883667020 2260400424 2354583775 2825500530 3767334040 4520800848 4709167550 5651001060 7063751325 7534668080 9418335100 11302002120 14127502650 18836670200 22604004240 28255005300 37673340400 56510010600 113020021200