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210002112101200 = 245225115269136987
BaseRepresentation
bin101111101111111011101101…
…010010110011101101010000
31000112120000011021011011120011
4233233323231102303231100
5210011133311144214300
62022345345524124304
762143103051356426
oct5757735522635520
91015500137134504
10210002112101200
1160a054395a0251
121b677996536694
139024163b81313
1439c022946d116
151942984639eba
hexbefeed4b3b50

210002112101200 has 120 divisors (see below), whose sum is σ = 506577026682720. Its totient is φ = 83660089920000.

The previous prime is 210002112101183. The next prime is 210002112101207. The reversal of 210002112101200 is 2101211200012.

Adding to 210002112101200 its reverse (2101211200012), we get a palindrome (212103323301212).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002112101207) 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, 1532939107 + ... + 1533076093.

It is an arithmetic number, because the mean of its divisors is an integer number (4221475222356).

Almost surely, 2210002112101200 is an apocalyptic number.

210002112101200 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 210002112101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253288513341360).

210002112101200 is an abundant number, since it is smaller than the sum of its proper divisors (296574914581520).

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

210002112101200 is a wasteful number, since it uses less digits than its factorization.

210002112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152525 (or 152514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 210002112101200 in words is "two hundred ten trillion, two billion, one hundred twelve million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 400 502 1004 1255 2008 2510 4016 5020 6275 10040 12550 15269 20080 25100 30538 50200 61076 76345 100400 122152 136987 152690 244304 273974 305380 381725 547948 610760 684935 763450 1095896 1221520 1369870 1526900 2191792 2739740 3053800 3424675 3832519 5479480 6107600 6849350 7665038 10958960 13698700 15330076 19162595 27397400 30660152 34383737 38325190 54794800 61320304 68767474 76650380 95812975 137534948 153300760 171918685 191625950 275069896 306601520 343837370 383251900 550139792 687674740 766503800 859593425 1375349480 1533007600 1719186850 2091654503 2750698960 3438373700 4183309006 6876747400 8366618012 10458272515 13753494800 16733236024 20916545030 33466472048 41833090060 52291362575 83666180120 104582725150 167332360240 209165450300 418330900600 525005280253 836661801200 1050010560506 2100021121012 2625026401265 4200042242024 5250052802530 8400084484048 10500105605060 13125132006325 21000211210120 26250264012650 42000422420240 52500528025300 105001056050600 210002112101200