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114152601300 = 223521721316639
BaseRepresentation
bin110101001010000000…
…1100111011011010100
3101220122111020222110020
41222110001213123110
53332241031220200
6124235130225140
711150544046533
oct1522401473324
9356574228406
10114152601300
1144459192a11
121a1595851b0
13a9c291b53a
14574c8dc31a
152e81962ea0
hex1a940676d4

114152601300 has 108 divisors (see below), whose sum is σ = 350852960640. Its totient is φ = 28650042880.

The previous prime is 114152601151. The next prime is 114152601301. The reversal of 114152601300 is 3106251411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114152601301) 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 35 ways as a sum of consecutive naturals, for example, 571620 + ... + 745019.

Almost surely, 2114152601300 is an apocalyptic number.

114152601300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114152601300 is an abundant number, since it is smaller than the sum of its proper divisors (236700359340).

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

114152601300 is a wasteful number, since it uses less digits than its factorization.

114152601300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316690 (or 1316666 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 114152601300 its reverse (3106251411), we get a palindrome (117258852711).

The spelling of 114152601300 in words is "one hundred fourteen billion, one hundred fifty-two million, six hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 289 300 340 425 510 578 850 867 1020 1156 1275 1445 1700 1734 2550 2890 3468 4335 5100 5780 7225 8670 14450 17340 21675 28900 43350 86700 1316639 2633278 3949917 5266556 6583195 7899834 13166390 15799668 19749585 22382863 26332780 32915975 39499170 44765726 65831950 67148589 78998340 89531452 98747925 111914315 131663900 134297178 197495850 223828630 268594356 335742945 380508671 394991700 447657260 559571575 671485890 761017342 1119143150 1141526013 1342971780 1522034684 1678714725 1902543355 2238286300 2283052026 3357429450 3805086710 4566104052 5707630065 6714858900 7610173420 9512716775 11415260130 19025433550 22830520260 28538150325 38050867100 57076300650 114152601300