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202103120100 = 223527769125149
BaseRepresentation
bin1011110000111001001…
…0001110000011100100
3201022122220200020220110
42330032102032003210
511302401344320400
6232502255133020
720413206114330
oct2741622160344
9638586606813
10202103120100
1178790a40492
1233203b14170
131609ac6023b
149ad35407c0
1553cce05e50
hex2f0e48e0e4

202103120100 has 144 divisors (see below), whose sum is σ = 669162032000. Its totient is φ = 46134558720.

The previous prime is 202103120081. The next prime is 202103120119. The reversal of 202103120100 is 1021301202.

It is an interprime number because it is at equal distance from previous prime (202103120081) and next prime (202103120119).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1552326 + ... + 1677474.

Almost surely, 2202103120100 is an apocalyptic number.

202103120100 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 202103120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334581016000).

202103120100 is an abundant number, since it is smaller than the sum of its proper divisors (467058911900).

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

202103120100 is a wasteful number, since it uses less digits than its factorization.

202103120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125942 (or 125935 counting only the distinct ones).

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

Adding to 202103120100 its reverse (1021301202), we get a palindrome (203124421302).

The spelling of 202103120100 in words is "two hundred two billion, one hundred three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 769 1050 1538 2100 2307 3076 3845 4614 5383 7690 9228 10766 11535 15380 16149 19225 21532 23070 26915 32298 38450 46140 53830 57675 64596 76900 80745 107660 115350 125149 134575 161490 230700 250298 269150 322980 375447 403725 500596 538300 625745 750894 807450 876043 1251490 1501788 1614900 1752086 1877235 2502980 2628129 3128725 3504172 3754470 4380215 5256258 6257450 7508940 8760430 9386175 10512516 12514900 13140645 17520860 18772350 21901075 26281290 37544700 43802150 52562580 65703225 87604300 96239581 131406450 192479162 262812900 288718743 384958324 481197905 577437486 673677067 962395810 1154874972 1347354134 1443593715 1924791620 2021031201 2405989525 2694708268 2887187430 3368385335 4042062402 4811979050 5774374860 6736770670 7217968575 8084124804 9623958100 10105156005 13473541340 14435937150 16841926675 20210312010 28871874300 33683853350 40420624020 50525780025 67367706700 101051560050 202103120100