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150100130000 = 245459254407
BaseRepresentation
bin1000101111001010101…
…0100011100011010000
3112100102201212122102002
42023302222203203100
54424401113130000
6152542142413132
713562423024312
oct2136252434320
9470381778362
10150100130000
1158725679317
12251102911a8
131120123a192
14739cbb77b2
153d877ac8d5
hex22f2aa38d0

150100130000 has 100 divisors (see below), whose sum is σ = 369568325280. Its totient is φ = 59022192000.

The previous prime is 150100129999. The next prime is 150100130023. The reversal of 150100130000 is 31001051.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 462797 + ... + 717203.

Almost surely, 2150100130000 is an apocalyptic number.

150100130000 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 150100130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184784162640).

150100130000 is an abundant number, since it is smaller than the sum of its proper divisors (219468195280).

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

150100130000 is an equidigital number, since it uses as much as digits as its factorization.

150100130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254494 (or 254473 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 150100130000 its reverse (31001051), we get a palindrome (150131131051).

The spelling of 150100130000 in words is "one hundred fifty billion, one hundred million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 625 944 1000 1180 1250 1475 2000 2360 2500 2950 4720 5000 5900 7375 10000 11800 14750 23600 29500 36875 59000 73750 118000 147500 254407 295000 508814 590000 1017628 1272035 2035256 2544070 4070512 5088140 6360175 10176280 12720350 15010013 20352560 25440700 30020026 31800875 50881400 60040052 63601750 75050065 101762800 120080104 127203500 150100130 159004375 240160208 254407000 300200260 318008750 375250325 508814000 600400520 636017500 750500650 1200801040 1272035000 1501001300 1876251625 2544070000 3002002600 3752503250 6004005200 7505006500 9381258125 15010013000 18762516250 30020026000 37525032500 75050065000 150100130000