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150030100 = 2252111771113
BaseRepresentation
bin10001111000101…
…00011100010100
3101110022022121101
420330110130110
5301401430400
622515355444
73501143353
oct1074243424
9343268541
10150030100
1177762920
12422b2b84
132510c80c
1415cd599a
15d28856a
hex8f14714

150030100 has 144 divisors (see below), whose sum is σ = 384725376. Its totient is φ = 50176000.

The previous prime is 150030043. The next prime is 150030113. The reversal of 150030100 is 1030051.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 1327644 + ... + 1327756.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2150030100 is an apocalyptic number.

150030100 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 150030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362688).

150030100 is an abundant number, since it is smaller than the sum of its proper divisors (234695276).

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

150030100 is a wasteful number, since it uses less digits than its factorization.

150030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 150030100 is about 12248.6774796302. The cubic root of 150030100 is about 531.3648222398.

Adding to 150030100 its reverse (1030051), we get a palindrome (151060151).

The spelling of 150030100 in words is "one hundred fifty million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 71 85 100 110 113 142 170 187 220 226 275 284 340 355 374 425 452 550 565 710 748 781 850 935 1100 1130 1207 1243 1420 1562 1700 1775 1870 1921 2260 2414 2486 2825 3124 3550 3740 3842 3905 4675 4828 4972 5650 6035 6215 7100 7684 7810 8023 9350 9605 11300 12070 12430 13277 15620 16046 18700 19210 19525 21131 24140 24860 26554 30175 31075 32092 38420 39050 40115 42262 48025 53108 60350 62150 66385 78100 80230 84524 88253 96050 105655 120700 124300 132770 136391 160460 176506 192100 200575 211310 265540 272782 331925 353012 401150 422620 441265 528275 545564 663850 681955 802300 882530 1056550 1327700 1363910 1500301 1765060 2113100 2206325 2727820 3000602 3409775 4412650 6001204 6819550 7501505 8825300 13639100 15003010 30006020 37507525 75015050 150030100