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122000213300 = 22527237577653
BaseRepresentation
bin111000110011111000…
…1111000010100110100
3102122220101220222022112
41301213301320110310
53444324023311200
6132013543550152
711546164463030
oct1614761702464
9378811828275
10122000213300
1147815a37a69
121b78975b358
13b673707834
145c94c591c0
1532908ab535
hex1c67c78534

122000213300 has 72 divisors (see below), whose sum is σ = 315715376256. Its totient is φ = 40010002560.

The previous prime is 122000213299. The next prime is 122000213333. The reversal of 122000213300 is 3312000221.

It is a happy number.

It is a super-3 number, since 3×1220002133003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3772727 + ... + 3804926.

Almost surely, 2122000213300 is an apocalyptic number.

122000213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000213300 is an abundant number, since it is smaller than the sum of its proper divisors (193715162956).

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

122000213300 is a wasteful number, since it uses less digits than its factorization.

122000213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577697 (or 7577690 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 122000213300 its reverse (3312000221), we get a palindrome (125312213521).

The spelling of 122000213300 in words is "one hundred twenty-two billion, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 7577653 15155306 30310612 37888265 53043571 75776530 106087142 151553060 174286019 189441325 212174284 265217855 348572038 378882650 530435710 697144076 757765300 871430095 1060871420 1220002133 1326089275 1742860190 2440004266 2652178550 3485720380 4357150475 4880008532 5304357100 6100010665 8714300950 12200021330 17428601900 24400042660 30500053325 61000106650 122000213300