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101223214300 = 225213591319729
BaseRepresentation
bin101111001000101011…
…1111010110011011100
3100200021102100001211001
41132101113322303130
53124301120324200
6114300140440044
710212256060645
oct1362127726334
9320242301731
10101223214300
1139a2395810a
121774b549024
1397120713a0
144c836b46cc
15297680d76a
hex17915facdc

101223214300 has 72 divisors (see below), whose sum is σ = 240560384400. Its totient is φ = 36741227520.

The previous prime is 101223214283. The next prime is 101223214307. The reversal of 101223214300 is 3412322101.

It is a happy number.

It is a super-2 number, since 2×1012232143002 (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 (101223214307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583165 + ... + 736564.

It is an arithmetic number, because the mean of its divisors is an integer number (3341116450).

Almost surely, 2101223214300 is an apocalyptic number.

101223214300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223214300 is an abundant number, since it is smaller than the sum of its proper divisors (139337170100).

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

101223214300 is a wasteful number, since it uses less digits than its factorization.

101223214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319815 (or 1319808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 101223214300 its reverse (3412322101), we get a palindrome (104635536401).

The spelling of 101223214300 in words is "one hundred one billion, two hundred twenty-three million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 236 260 295 325 590 650 767 1180 1300 1475 1534 2950 3068 3835 5900 7670 15340 19175 38350 76700 1319729 2639458 5278916 6598645 13197290 17156477 26394580 32993225 34312954 65986450 68625908 77864011 85782385 131972900 155728022 171564770 311456044 343129540 389320055 428911925 778640110 857823850 1012232143 1557280220 1715647700 1946600275 2024464286 3893200550 4048928572 5061160715 7786401100 10122321430 20244642860 25305803575 50611607150 101223214300