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100301131200 = 2635220896069
BaseRepresentation
bin101110101101001101…
…0011100110111000000
3100120220011021101121010
41131122122130313000
53120404042144300
6114024441200520
710150361356014
oct1353232346700
9316804241533
10100301131200
11395a0412466
1217532790140
1395c601539a
144bd704a544
1529208bda50
hex175a69cdc0

100301131200 has 84 divisors (see below), whose sum is σ = 329071310360. Its totient is φ = 26746967040.

The previous prime is 100301131159. The next prime is 100301131211. The reversal of 100301131200 is 2131103001.

It is a super-2 number, since 2×1003011312002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10443235 + ... + 10452834.

Almost surely, 2100301131200 is an apocalyptic number.

100301131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100301131200 is an abundant number, since it is smaller than the sum of its proper divisors (228770179160).

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

100301131200 is a wasteful number, since it uses less digits than its factorization.

100301131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20896094 (or 20896079 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100301131200 its reverse (2131103001), we get a palindrome (102432234201).

The spelling of 100301131200 in words is "one hundred billion, three hundred one million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 20896069 41792138 62688207 83584276 104480345 125376414 167168552 208960690 250752828 313441035 334337104 417921380 501505656 522401725 626882070 668674208 835842760 1003011312 1044803450 1253764140 1337348416 1567205175 1671685520 2006022624 2089606900 2507528280 3134410350 3343371040 4012045248 4179213800 5015056560 6268820700 6686742080 8358427600 10030113120 12537641400 16716855200 20060226240 25075282800 33433710400 50150565600 100301131200