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106216330000 = 245411965603
BaseRepresentation
bin110001011101011111…
…1001001001100010000
3101011011101202121220011
41202322333021030100
53220012340030000
6120443424324304
710450065623404
oct1427277111420
9334141677804
10106216330000
1141056392910
1218703773694
13a02965c611
1451d88a3104
152b69d552ba
hex18bafc9310

106216330000 has 100 divisors (see below), whose sum is σ = 280538861328. Its totient is φ = 38624080000.

The previous prime is 106216329991. The next prime is 106216330009. The reversal of 106216330000 is 33612601.

It is an interprime number because it is at equal distance from previous prime (106216329991) and next prime (106216330009).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1062163300002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (106216330009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 372802 + ... + 592801.

Almost surely, 2106216330000 is an apocalyptic number.

106216330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106216330000 is an abundant number, since it is smaller than the sum of its proper divisors (174322531328).

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

106216330000 is an equidigital number, since it uses as much as digits as its factorization.

106216330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965642 (or 965621 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 106216330000 its reverse (33612601), we get a palindrome (106249942601).

The spelling of 106216330000 in words is "one hundred six billion, two hundred sixteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 965603 1931206 3862412 4828015 7724824 9656030 10621633 15449648 19312060 21243266 24140075 38624120 42486532 48280150 53108165 77248240 84973064 96560300 106216330 120700375 169946128 193120600 212432660 241400750 265540825 386241200 424865320 482801500 531081650 603501875 849730640 965603000 1062163300 1207003750 1327704125 1931206000 2124326600 2414007500 2655408250 4248653200 4828015000 5310816500 6638520625 9656030000 10621633000 13277041250 21243266000 26554082500 53108165000 106216330000