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202111300100 = 225222324137607
BaseRepresentation
bin1011110000111011000…
…1011011001000000100
3201022200111001211202102
42330032301123020010
511302410443100400
6232503150331232
720413335463613
oct2741661331004
9638614054672
10202111300100
1178795618216
12332067b9b18
131609c865588
149ad466d87a
1553cd9be9d5
hex2f0ec5b204

202111300100 has 72 divisors (see below), whose sum is σ = 442388018688. Its totient is φ = 80145907200.

The previous prime is 202111300063. The next prime is 202111300117. The reversal of 202111300100 is 1003111202.

202111300100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2021113001002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5355497 + ... + 5393103.

Almost surely, 2202111300100 is an apocalyptic number.

202111300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202111300100 is an abundant number, since it is smaller than the sum of its proper divisors (240276718588).

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

202111300100 is a wasteful number, since it uses less digits than its factorization.

202111300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38085 (or 38078 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 202111300100 its reverse (1003111202), we get a palindrome (203114411302).

The spelling of 202111300100 in words is "two hundred two billion, one hundred eleven million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 223 241 446 482 892 964 1115 1205 2230 2410 4460 4820 5575 6025 11150 12050 22300 24100 37607 53743 75214 107486 150428 188035 214972 268715 376070 537430 752140 940175 1074860 1343575 1880350 2687150 3760700 5374300 8386361 9063287 16772722 18126574 33545444 36253148 41931805 45316435 83863610 90632870 167727220 181265740 209659025 226582175 419318050 453164350 838636100 906328700 2021113001 4042226002 8084452004 10105565005 20211130010 40422260020 50527825025 101055650050 202111300100