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150101000 = 2353741523
BaseRepresentation
bin10001111001001…
…01110000001000
3101110102220212022
420330211300020
5301411213000
622521104012
73501560150
oct1074456010
9343386768
10150101000
1177801115
1242328008
1325135b7a
1415d13760
15d29e585
hex8f25c08

150101000 has 128 divisors (see below), whose sum is σ = 411989760. Its totient is φ = 50112000.

The previous prime is 150100997. The next prime is 150101009. The reversal of 150101000 is 101051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (150101009) 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 31 ways as a sum of consecutive naturals, for example, 286739 + ... + 287261.

It is an arithmetic number, because the mean of its divisors is an integer number (3218670).

Almost surely, 2150101000 is an apocalyptic number.

150101000 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 150101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205994880).

150101000 is an abundant number, since it is smaller than the sum of its proper divisors (261888760).

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

150101000 is a wasteful number, since it uses less digits than its factorization.

150101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 150101000 is about 12251.5713277930. The cubic root of 150101000 is about 531.4485117415.

Adding to 150101000 its reverse (101051), we get a palindrome (150202051).

The spelling of 150101000 in words is "one hundred fifty million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 125 140 164 175 200 205 250 280 287 328 350 410 500 523 574 700 820 875 1000 1025 1046 1148 1400 1435 1640 1750 2050 2092 2296 2615 2870 3500 3661 4100 4184 5125 5230 5740 7000 7175 7322 8200 10250 10460 11480 13075 14350 14644 18305 20500 20920 21443 26150 28700 29288 35875 36610 41000 42886 52300 57400 65375 71750 73220 85772 91525 104600 107215 130750 143500 146440 150101 171544 183050 214430 261500 287000 300202 366100 428860 457625 523000 536075 600404 732200 750505 857720 915250 1072150 1200808 1501010 1830500 2144300 2680375 3002020 3661000 3752525 4288600 5360750 6004040 7505050 10721500 15010100 18762625 21443000 30020200 37525250 75050500 150101000