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150350304100 = 225219437972309
BaseRepresentation
bin1000110000000110010…
…0111001001101100100
3112101002011121210202111
42030001210321031210
54430404134212400
6153023040450404
713601551333003
oct2140144711544
9471064553674
10150350304100
1158843910877
1225180019a04
1311241010ba9
1473c40dac3a
153d9e7283ba
hex2301939364

150350304100 has 144 divisors (see below), whose sum is σ = 352011844800. Its totient is φ = 55555960320.

The previous prime is 150350304031. The next prime is 150350304109. The reversal of 150350304100 is 1403053051.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (150350304109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65113746 + ... + 65116054.

It is an arithmetic number, because the mean of its divisors is an integer number (2444526700).

Almost surely, 2150350304100 is an apocalyptic number.

150350304100 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 150350304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176005922400).

150350304100 is an abundant number, since it is smaller than the sum of its proper divisors (201661540700).

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

150350304100 is a wasteful number, since it uses less digits than its factorization.

150350304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 150350304100 its reverse (1403053051), we get a palindrome (151753357151).

The spelling of 150350304100 in words is "one hundred fifty billion, three hundred fifty million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 797 817 860 950 1075 1594 1634 1900 2150 2309 3188 3268 3985 4085 4300 4618 7970 8170 9236 11545 15143 15940 16340 19925 20425 23090 30286 34271 39850 40850 43871 46180 57725 60572 68542 75715 79700 81700 87742 99287 115450 137084 151430 171355 175484 198574 219355 230900 302860 342710 378575 397148 438710 496435 651149 685420 757150 856775 877420 992870 1096775 1302298 1514300 1713550 1840273 1886453 1985740 2193550 2482175 2604596 3255745 3427100 3680546 3772906 4387100 4964350 6511490 7361092 7545812 9201365 9432265 9928700 13022980 16278725 18402730 18864530 32557450 34965187 36805460 37729060 46006825 47161325 65114900 69930374 79131739 92013650 94322650 139860748 158263478 174825935 184027300 188645300 316526956 349651870 395658695 699303740 791317390 874129675 1503503041 1582634780 1748259350 1978293475 3007006082 3496518700 3956586950 6014012164 7517515205 7913173900 15035030410 30070060820 37587576025 75175152050 150350304100