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20131455120 = 2435711983009
BaseRepresentation
bin10010101111111011…
…011010000010010000
31220221222212212202220
4102233323122002100
5312212123030440
613125342541040
71311606354660
oct225773320220
956858785686
1020131455120
1185a0755217
123a99b97780
131b8a9b282a
14d8d9441a0
157cc5858d0
hex4afeda090

20131455120 has 80 divisors (see below), whose sum is σ = 71322875520. Its totient is φ = 4601475072.

The previous prime is 20131455119. The next prime is 20131455121. The reversal of 20131455120 is 2155413102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20131455119) and next prime (20131455121).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20131455121) 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 15 ways as a sum of consecutive naturals, for example, 5989825 + ... + 5993184.

It is an arithmetic number, because the mean of its divisors is an integer number (891535944).

Almost surely, 220131455120 is an apocalyptic number.

20131455120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131455120 is an abundant number, since it is smaller than the sum of its proper divisors (51191420400).

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

20131455120 is a wasteful number, since it uses less digits than its factorization.

20131455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983032 (or 11983026 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 20131455120 its reverse (2155413102), we get a palindrome (22286868222).

The spelling of 20131455120 in words is "twenty billion, one hundred thirty-one million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 11983009 23966018 35949027 47932036 59915045 71898054 83881063 95864072 119830090 143796108 167762126 179745135 191728144 239660180 251643189 287592216 335524252 359490270 419405315 479320360 503286378 575184432 671048504 718980540 838810630 958640720 1006572756 1258215945 1342097008 1437961080 1677621260 2013145512 2516431890 2875922160 3355242520 4026291024 5032863780 6710485040 10065727560 20131455120