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101311000320 = 283526383073
BaseRepresentation
bin101111001011010011…
…0110010111100000000
3100200111112112001121010
41132112212302330000
53124441104002240
6114312554200520
710214403202605
oct1362646627400
9320445461533
10101311000320
1139a69467042
1217774a23140
1397272c968a
144c912066ac
15297e39e280
hex17969b2f00

101311000320 has 72 divisors (see below), whose sum is σ = 323562019536. Its totient is φ = 27016265728.

The previous prime is 101311000303. The next prime is 101311000321. The reversal of 101311000320 is 23000113101.

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 = 101311000296 and 101311000305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311000321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13187697 + ... + 13195376.

It is an arithmetic number, because the mean of its divisors is an integer number (4493916938).

Almost surely, 2101311000320 is an apocalyptic number.

101311000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311000320 is an abundant number, since it is smaller than the sum of its proper divisors (222251019216).

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

101311000320 is an equidigital number, since it uses as much as digits as its factorization.

101311000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26383097 (or 26383083 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101311000320 its reverse (23000113101), we get a palindrome (124311113421).

The spelling of 101311000320 in words is "one hundred one billion, three hundred eleven 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 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 26383073 52766146 79149219 105532292 131915365 158298438 211064584 263830730 316596876 395746095 422129168 527661460 633193752 791492190 844258336 1055322920 1266387504 1582984380 1688516672 2110645840 2532775008 3165968760 3377033344 4221291680 5065550016 6331937520 6754066688 8442583360 10131100032 12663875040 16885166720 20262200064 25327750080 33770333440 50655500160 101311000320