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151243210000 = 245438892
BaseRepresentation
bin1000110011011011001…
…1000011110100010000
3112110101101210010101101
42030312303003310100
54434221230210000
6153251414514144
713632643034131
oct2146663036420
9473341703341
10151243210000
1159161938233
122538b065954
1311353cc258c
14746a92bc88
153e02d02e6a
hex2336cc3d10

151243210000 has 75 divisors (see below), whose sum is σ = 366269116521. Its totient is φ = 60481728000.

The previous prime is 151243209977. The next prime is 151243210003. The reversal of 151243210000 is 12342151.

The square root of 151243210000 is 388900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 83259948304 + 67983261696 = 288548^2 + 260736^2 .

It is a super-2 number, since 2×1512432100002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 151243210000.

It is not an unprimeable number, because it can be changed into a prime (151243210003) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 38888056 + ... + 38891944.

Almost surely, 2151243210000 is an apocalyptic number.

151243210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151243210000 is the 388900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151243210000

151243210000 is an abundant number, since it is smaller than the sum of its proper divisors (215025906521).

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

151243210000 is an frugal number, since it uses more digits than its factorization.

151243210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 3896 counting only the distinct ones).

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

Adding to 151243210000 its reverse (12342151), we get a palindrome (151255552151).

The spelling of 151243210000 in words is "one hundred fifty-one billion, two hundred forty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3889 5000 7778 10000 15556 19445 31112 38890 62224 77780 97225 155560 194450 311120 388900 486125 777800 972250 1555600 1944500 2430625 3889000 4861250 7778000 9722500 15124321 19445000 30248642 38890000 60497284 75621605 120994568 151243210 241989136 302486420 378108025 604972840 756216050 1209945680 1512432100 1890540125 3024864200 3781080250 6049728400 7562160500 9452700625 15124321000 18905401250 30248642000 37810802500 75621605000 151243210000