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101233312016 = 2471891001279
BaseRepresentation
bin101111001000111111…
…0011100000100010000
3100200022010100002021112
41132101332130010100
53124311211441031
6114301141112452
710212440645234
oct1362176340420
9320263302245
10101233312016
1139a29624731
12177529b8728
139714198575
144c84b825c4
15297765562b
hex1791f9c110

101233312016 has 40 divisors (see below), whose sum is σ = 201137126400. Its totient is φ = 49342979840.

The previous prime is 101233312013. The next prime is 101233312039. The reversal of 101233312016 is 610213332101.

It is a junction number, because it is equal to n+sod(n) for n = 101233311982 and 101233312000.

It is not an unprimeable number, because it can be changed into a prime (101233312013) 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 7 ways as a sum of consecutive naturals, for example, 399536 + ... + 601743.

It is an arithmetic number, because the mean of its divisors is an integer number (5028428160).

Almost surely, 2101233312016 is an apocalyptic number.

101233312016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101233312016 is a deficient number, since it is larger than the sum of its proper divisors (99903814384).

101233312016 is a wasteful number, since it uses less digits than its factorization.

101233312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001447 (or 1001441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101233312016 its reverse (610213332101), we get a palindrome (711446644117).

The spelling of 101233312016 in words is "one hundred one billion, two hundred thirty-three million, three hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 71 89 142 178 284 356 568 712 1136 1424 6319 12638 25276 50552 101104 1001279 2002558 4005116 8010232 16020464 71090809 89113831 142181618 178227662 284363236 356455324 568726472 712910648 1137452944 1425821296 6327082001 12654164002 25308328004 50616656008 101233312016