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101302000320 = 2635105522917
BaseRepresentation
bin101111001011000010…
…0011101101011000000
3100200110220120210220210
41132112010131223000
53124431303002240
6114312033234120
710214233536543
oct1362604355300
9320426523823
10101302000320
1139a6437a224
1217771a02940
139725498031
144c8dd4285a
15297d6c2780
hex179611dac0

101302000320 has 56 divisors (see below), whose sum is σ = 321633854064. Its totient is φ = 27013866496.

The previous prime is 101302000307. The next prime is 101302000367. The reversal of 101302000320 is 23000203101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101302000296 and 101302000305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52760499 + ... + 52762418.

Almost surely, 2101302000320 is an apocalyptic number.

101302000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101302000320 is an abundant number, since it is smaller than the sum of its proper divisors (220331853744).

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

101302000320 is a wasteful number, since it uses less digits than its factorization.

101302000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105522937 (or 105522927 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 101302000320 its reverse (23000203101), we get a palindrome (124302203421).

The spelling of 101302000320 in words is "one hundred one billion, three hundred two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 105522917 211045834 316568751 422091668 527614585 633137502 844183336 1055229170 1266275004 1582843755 1688366672 2110458340 2532550008 3165687510 3376733344 4220916680 5065100016 6331375020 6753466688 8441833360 10130200032 12662750040 16883666720 20260400064 25325500080 33767333440 50651000160 101302000320