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2231212121322 = 2337471012117233
BaseRepresentation
bin100000011101111110100…
…110110001110011101010
321220022011000020120200220
4200131332212301303222
5243024010300340242
64425001003110510
7320125342052232
oct40357646616352
97808130216626
102231212121322
11790285090778
12300510512436
131325300c5092
1479dc3d82cc2
153d08b6acbec
hex2077e9b1cea

2231212121322 has 64 divisors (see below), whose sum is σ = 4726885814784. Its totient is φ = 701227238400.

The previous prime is 2231212121293. The next prime is 2231212121363.

2231212121322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22312121213223 (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2231212121292 and 2231212121301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4783 + ... + 2112450.

It is an arithmetic number, because the mean of its divisors is an integer number (73857590856).

Almost surely, 22231212121322 is an apocalyptic number.

2231212121322 is an abundant number, since it is smaller than the sum of its proper divisors (2495673693462).

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

2231212121322 is a wasteful number, since it uses less digits than its factorization.

2231212121322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117423.

The product of its digits is 1152, while the sum is 24.

The spelling of 2231212121322 in words is "two trillion, two hundred thirty-one billion, two hundred twelve million, one hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 37 47 74 94 101 111 141 202 222 282 303 606 1739 3478 3737 4747 5217 7474 9494 10434 11211 14241 22422 28482 175639 351278 526917 1053834 2117233 4234466 6351699 12703398 78337621 99509951 156675242 199019902 213840533 235012863 298529853 427681066 470025726 597059706 641521599 1283043198 3681868187 7363736374 7912099721 10050505051 11045604561 15824199442 20101010102 22091209122 23736299163 30151515153 47472598326 60303030306 371868686887 743737373774 1115606060661 2231212121322