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101455020 = 223251095171
BaseRepresentation
bin1100000110000…
…01010010101100
321001220110010100
412003001102230
5201433030040
614022311100
72341232142
oct603012254
9231813110
10101455020
11522a5727
1229b88490
1318032b74
14d68d592
158d90b30
hex60c14ac

101455020 has 72 divisors (see below), whose sum is σ = 310630320. Its totient is φ = 26801280.

The previous prime is 101455009. The next prime is 101455037. The reversal of 101455020 is 20554101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101454984 and 101455002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17035 + ... + 22205.

It is an arithmetic number, because the mean of its divisors is an integer number (4314310).

Almost surely, 2101455020 is an apocalyptic number.

101455020 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 101455020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155315160).

101455020 is an abundant number, since it is smaller than the sum of its proper divisors (209175300).

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

101455020 is a wasteful number, since it uses less digits than its factorization.

101455020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 101455020 is about 10072.4882725174. The cubic root of 101455020 is about 466.3992538238.

The spelling of 101455020 in words is "one hundred one million, four hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 5171 6540 9810 10342 15513 19620 20684 25855 31026 46539 51710 62052 77565 93078 103420 155130 186156 232695 310260 465390 563639 930780 1127278 1690917 2254556 2818195 3381834 5072751 5636390 6763668 8454585 10145502 11272780 16909170 20291004 25363755 33818340 50727510 101455020