Search a number
-
+
130279972950 = 232522337340201
BaseRepresentation
bin111100101010101001…
…0101010000001010110
3110110021102202100022100
41321111102222001112
54113303133113300
6135503315542530
712261313333011
oct1712522520126
9413242670270
10130279972950
1150284714a36
12212ba5baa46
13c392bacaba
14643c748378
1535c7718700
hex1e554aa056

130279972950 has 144 divisors (see below), whose sum is σ = 375109446816. Its totient is φ = 32332608000.

The previous prime is 130279972943. The next prime is 130279972951. The reversal of 130279972950 is 59279972031.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130279972951) 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 71 ways as a sum of consecutive naturals, for example, 212850 + ... + 553050.

It is an arithmetic number, because the mean of its divisors is an integer number (2604926714).

Almost surely, 2130279972950 is an apocalyptic number.

130279972950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130279972950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187554723408).

130279972950 is an abundant number, since it is smaller than the sum of its proper divisors (244829473866).

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

130279972950 is a wasteful number, since it uses less digits than its factorization.

130279972950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340279 (or 340271 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 130279972950 in words is "one hundred thirty billion, two hundred seventy-nine million, nine hundred seventy-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 37 45 46 50 69 74 75 90 111 115 138 150 185 207 222 225 230 333 345 370 414 450 555 575 666 690 851 925 1035 1110 1150 1665 1702 1725 1850 2070 2553 2775 3330 3450 4255 5106 5175 5550 7659 8325 8510 10350 12765 15318 16650 21275 25530 38295 42550 63825 76590 127650 191475 340201 382950 680402 1020603 1701005 2041206 3061809 3402010 5103015 6123618 7824623 8505025 10206030 12587437 15309045 15649246 17010050 23473869 25174874 25515075 30618090 37762311 39123115 46947738 51030150 62937185 70421607 75524622 76545225 78246230 113286933 117369345 125874370 140843214 153090450 188811555 195615575 226573866 234738690 289511051 314685925 352108035 377623110 391231150 566434665 579022102 586846725 629371850 704216070 868533153 944057775 1132869330 1173693450 1447555255 1737066306 1760540175 1888115550 2605599459 2832173325 2895110510 3521080350 4342665765 5211198918 5664346650 7237776275 8685331530 13027997295 14475552550 21713328825 26055994590 43426657650 65139986475 130279972950