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150344020100 = 2252311072811613
BaseRepresentation
bin1000110000000100110…
…0111011000010000100
3112101001201210112201202
42030001030323002010
54430401032120400
6153022254042032
713601444041211
oct2140114730204
9471051715652
10150344020100
115884030958a
1225179aa9318
131123c920851
1473c3342b08
153d9ddd64d5
hex230133b084

150344020100 has 144 divisors (see below), whose sum is σ = 341339152896. Its totient is φ = 57412992000.

The previous prime is 150344020067. The next prime is 150344020103. The reversal of 150344020100 is 1020443051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (150344020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93206894 + ... + 93208506.

It is an arithmetic number, because the mean of its divisors is an integer number (2370410784).

Almost surely, 2150344020100 is an apocalyptic number.

150344020100 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 150344020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170669576448).

150344020100 is an abundant number, since it is smaller than the sum of its proper divisors (190995132796).

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

150344020100 is a wasteful number, since it uses less digits than its factorization.

150344020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 150344020100 its reverse (1020443051), we get a palindrome (151364463151).

The spelling of 150344020100 in words is "one hundred fifty billion, three hundred forty-four million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 107 124 155 214 281 310 428 535 562 620 775 1070 1124 1405 1550 1613 2140 2675 2810 3100 3226 3317 5350 5620 6452 6634 7025 8065 8711 10700 13268 14050 16130 16585 17422 28100 30067 32260 33170 34844 40325 43555 50003 60134 66340 80650 82925 87110 100006 120268 150335 161300 165850 172591 174220 200012 217775 250015 300670 331700 345182 435550 453253 500030 601340 690364 751675 862955 871100 906506 932077 1000060 1250075 1503350 1725910 1813012 1864154 2266265 2500150 3006700 3451820 3728308 4314775 4532530 4660385 5000300 5350321 8629550 9065060 9320770 10700642 11331325 14050843 17259100 18641540 21401284 22662650 23301925 26751605 28101686 45325300 46603850 48498071 53503210 56203372 70254215 93207700 96996142 107006420 133758025 140508430 193992284 242490355 267516050 281016860 351271075 484980710 535032100 702542150 969961420 1212451775 1405084300 1503440201 2424903550 3006880402 4849807100 6013760804 7517201005 15034402010 30068804020 37586005025 75172010050 150344020100