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11452303201152 = 2731119073142151
BaseRepresentation
bin1010011010100111001001…
…1101101101001110000000
31111112211101200220221221110
42212221302131231032000
53000113304104414102
640205040534523320
72261254515023262
oct246516235551600
944484350827843
1011452303201152
113715992661490
12134b649206540
13650c41a28318
142b8419ccbb32
1514cd79c4c86c
hexa6a7276d380

11452303201152 has 128 divisors (see below), whose sum is σ = 33187624715520. Its totient is φ = 3470188544000.

The previous prime is 11452303201147. The next prime is 11452303201187. The reversal of 11452303201152 is 25110230325411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×114523032011522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80493277 + ... + 80635427.

It is an arithmetic number, because the mean of its divisors is an integer number (259278318090).

Almost surely, 211452303201152 is an apocalyptic number.

11452303201152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11452303201152 is an abundant number, since it is smaller than the sum of its proper divisors (21735321514368).

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

11452303201152 is a wasteful number, since it uses less digits than its factorization.

11452303201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161252 (or 161240 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11452303201152 its reverse (25110230325411), we get a palindrome (36562533526563).

The spelling of 11452303201152 in words is "eleven trillion, four hundred fifty-two billion, three hundred three million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 19073 38146 57219 76292 114438 142151 152584 209803 228876 284302 305168 419606 426453 457752 568604 610336 629409 839212 852906 915504 1137208 1220672 1258818 1563661 1678424 1705812 1831008 2274416 2441344 2517636 3127322 3356848 3411624 3662016 4548832 4690983 5035272 6254644 6713696 6823248 7324032 9097664 9381966 10070544 12509288 13427392 13646496 18195328 18763932 20141088 25018576 26854784 27292992 37527864 40282176 50037152 54585984 75055728 80564352 100074304 150111456 200148608 300222912 600445824 2711246023 5422492046 8133738069 10844984092 16267476138 21689968184 29823706253 32534952276 43379936368 59647412506 65069904552 86759872736 89471118759 119294825012 130139809104 173519745472 178942237518 238589650024 260279618208 347039490944 357884475036 477179300048 520559236416 715768950072 954358600096 1041118472832 1431537900144 1908717200192 2863075800288 3817434400384 5726151600576 11452303201152