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101223003616 = 2572471373521
BaseRepresentation
bin101111001000101011…
…1000111010111100000
3100200021101221100210221
41132101113013113200
53124301042103431
6114300132132424
710212254222500
oct1362127072740
9320241840727
10101223003616
1139a23823899
121774b467114
139711cc9517
144c8365ba00
1529767bb111
hex17915c75e0

101223003616 has 72 divisors (see below), whose sum is σ = 236751240096. Its totient is φ = 42458250240.

The previous prime is 101223003601. The next prime is 101223003619. The reversal of 101223003616 is 616300322101.

It is a super-2 number, since 2×1012230036162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223003619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613065 + ... + 760456.

It is an arithmetic number, because the mean of its divisors is an integer number (3288211668).

Almost surely, 2101223003616 is an apocalyptic number.

101223003616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101223003616 is an abundant number, since it is smaller than the sum of its proper divisors (135528236480).

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

101223003616 is a wasteful number, since it uses less digits than its factorization.

101223003616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373592 (or 1373577 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 101223003616 its reverse (616300322101), we get a palindrome (717523325717).

The spelling of 101223003616 in words is "one hundred one billion, two hundred twenty-three million, three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 658 752 784 1316 1504 1568 2303 2632 4606 5264 9212 10528 18424 36848 73696 1373521 2747042 5494084 9614647 10988168 19229294 21976336 38458588 43952672 64555487 67302529 76917176 129110974 134605058 153834352 258221948 269210116 307668704 451888409 516443896 538420232 903776818 1032887792 1076840464 1807553636 2065775584 2153680928 3163218863 3615107272 6326437726 7230214544 12652875452 14460429088 25305750904 50611501808 101223003616