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101542050 = 232522931251
BaseRepresentation
bin1100000110101…
…10100010100010
321002001212111200
412003112202202
5201443321200
614024222030
72342043651
oct603264242
9232055450
10101542050
1152355055
122a00a916
131806366c
14d6b3198
158dab800
hex60d68a2

101542050 has 144 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 25200000.

The previous prime is 101542039. The next prime is 101542057. The reversal of 101542050 is 50245101.

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

It is not an unprimeable number, because it can be changed into a prime (101542057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404425 + ... + 404675.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2101542050 is an apocalyptic number.

101542050 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 101542050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

101542050 is an abundant number, since it is smaller than the sum of its proper divisors (190939230).

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

101542050 is a wasteful number, since it uses less digits than its factorization.

101542050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

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

The square root of 101542050 is about 10076.8075301655. The cubic root of 101542050 is about 466.5325776886.

Adding to 101542050 its reverse (50245101), we get a palindrome (151787151).

The spelling of 101542050 in words is "one hundred one million, five hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 31 45 50 58 62 75 87 90 93 145 150 155 174 186 225 251 261 279 290 310 435 450 465 502 522 558 725 753 775 870 899 930 1255 1305 1395 1450 1506 1550 1798 2175 2259 2325 2510 2610 2697 2790 3765 4350 4495 4518 4650 5394 6275 6525 6975 7279 7530 7781 8091 8990 11295 12550 13050 13485 13950 14558 15562 16182 18825 21837 22475 22590 23343 26970 36395 37650 38905 40455 43674 44950 46686 56475 65511 67425 70029 72790 77810 80910 109185 112950 116715 131022 134850 140058 181975 194525 202275 218370 225649 233430 327555 350145 363950 389050 404550 451298 545925 583575 655110 676947 700290 1091850 1128245 1167150 1353894 1637775 1750725 2030841 2256490 3275550 3384735 3501450 4061682 5641225 6769470 10154205 11282450 16923675 20308410 33847350 50771025 101542050