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101120023300 = 22525961280967
BaseRepresentation
bin101111000101100111…
…0010001101100000100
3100200000020011102101011
41132023032101230010
53124043211221200
6114242013012004
710206564005362
oct1361316215404
9320006142334
10101120023300
113998068719a
1217720a84004
1396c688131a
144c73ad2632
15296c7285ba
hex178b391b04

101120023300 has 72 divisors (see below), whose sum is σ = 226808608320. Its totient is φ = 39110467200.

The previous prime is 101120023231. The next prime is 101120023313. The reversal of 101120023300 is 3320021101.

It is a super-2 number, since 2×1011200233002 (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, 219417 + ... + 500383.

It is an arithmetic number, because the mean of its divisors is an integer number (3150119560).

Almost surely, 2101120023300 is an apocalyptic number.

101120023300 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 101120023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113404304160).

101120023300 is an abundant number, since it is smaller than the sum of its proper divisors (125688585020).

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

101120023300 is a wasteful number, since it uses less digits than its factorization.

101120023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281101 (or 281094 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101120023300 its reverse (3320021101), we get a palindrome (104440044401).

The spelling of 101120023300 in words is "one hundred one billion, one hundred twenty million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 61 100 118 122 236 244 295 305 590 610 1180 1220 1475 1525 2950 3050 3599 5900 6100 7198 14396 17995 35990 71980 89975 179950 280967 359900 561934 1123868 1404835 2809670 5619340 7024175 14048350 16577053 17138987 28096700 33154106 34277974 66308212 68555948 82885265 85694935 165770530 171389870 331541060 342779740 414426325 428474675 828852650 856949350 1011200233 1657705300 1713898700 2022400466 4044800932 5056001165 10112002330 20224004660 25280005825 50560011650 101120023300