Search a number
-
+
151203012400 = 245211109315269
BaseRepresentation
bin1000110011010001100…
…1101101111100110000
3112110021121010212122101
42030310121231330300
54434130432344100
6153243421150144
713631644254016
oct2146431557460
9473247125571
10151203012400
1159141182180
12253796bb354
1311348889b0b
1474654668b6
153dee51286a
hex233466df30

151203012400 has 120 divisors (see below), whose sum is σ = 399926300400. Its totient is φ = 54478310400.

The previous prime is 151203012353. The next prime is 151203012463. The reversal of 151203012400 is 4210302151.

151203012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321966 + ... + 637234.

It is an arithmetic number, because the mean of its divisors is an integer number (3332719170).

Almost surely, 2151203012400 is an apocalyptic number.

151203012400 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 151203012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199963150200).

151203012400 is an abundant number, since it is smaller than the sum of its proper divisors (248723288000).

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

151203012400 is a wasteful number, since it uses less digits than its factorization.

151203012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315407 (or 315396 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 151203012400 its reverse (4210302151), we get a palindrome (155413314551).

The spelling of 151203012400 in words is "one hundred fifty-one billion, two hundred three million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 109 110 176 200 218 220 275 400 436 440 545 550 872 880 1090 1100 1199 1744 2180 2200 2398 2725 4360 4400 4796 5450 5995 8720 9592 10900 11990 19184 21800 23980 29975 43600 47960 59950 95920 119900 239800 315269 479600 630538 1261076 1576345 2522152 3152690 3467959 5044304 6305380 6935918 7881725 12610760 13871836 15763450 17339795 25221520 27743672 31526900 34364321 34679590 55487344 63053800 68728642 69359180 86698975 126107600 137457284 138718360 171821605 173397950 274914568 277436720 343643210 346795900 378007531 549829136 687286420 693591800 756015062 859108025 1374572840 1387183600 1512030124 1718216050 1890037655 2749145680 3024060248 3436432100 3780075310 6048120496 6872864200 7560150620 9450188275 13745728400 15120301240 18900376550 30240602480 37800753100 75601506200 151203012400