Search a number
-
+
101455050 = 23522983281
BaseRepresentation
bin1100000110000…
…01010011001010
321001220110011110
412003001103022
5201433030200
614022311150
72341232214
oct603012312
9231813143
10101455050
11522a5754
1229b884b6
1318032b98
14d68d5b4
158d90b50
hex60c14ca

101455050 has 96 divisors (see below), whose sum is σ = 264358080. Its totient is φ = 25715200.

The previous prime is 101455049. The next prime is 101455061. The reversal of 101455050 is 50554101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360910 + ... + 361190.

It is an arithmetic number, because the mean of its divisors is an integer number (2753730).

Almost surely, 2101455050 is an apocalyptic number.

101455050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101455050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132179040).

101455050 is an abundant number, since it is smaller than the sum of its proper divisors (162903030).

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

101455050 is a wasteful number, since it uses less digits than its factorization.

101455050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 101455050 is about 10072.4897617223. The cubic root of 101455050 is about 466.3992997949.

It can be divided in two parts, 1014550 and 50, that added together give a triangular number (1014600 = T1424).

The spelling of 101455050 in words is "one hundred one million, four hundred fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 83 87 145 150 166 174 249 281 290 415 435 498 562 725 830 843 870 1245 1405 1450 1686 2075 2175 2407 2490 2810 4150 4215 4350 4814 6225 7025 7221 8149 8430 12035 12450 14050 14442 16298 21075 23323 24070 24447 36105 40745 42150 46646 48894 60175 69969 72210 81490 116615 120350 122235 139938 180525 203725 233230 244470 349845 361050 407450 583075 611175 676367 699690 1166150 1222350 1352734 1749225 2029101 3381835 3498450 4058202 6763670 10145505 16909175 20291010 33818350 50727525 101455050