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142122110323221 = 3372719193019361
BaseRepresentation
bin100000010100001001100001…
…111001101000101000010101
3200122012202000020012112022000
4200110021201321220220111
5122112012040220320341
61222133555100025513
741635661245310310
oct4024114171505025
9618182006175260
10142122110323221
1141314715186226
1213b34273232299
13613c0994229a2
142714a65499977
151166dc78758b6
hex814261e68a15

142122110323221 has 64 divisors (see below), whose sum is σ = 241780847001600. Its totient is φ = 80824885516800.

The previous prime is 142122110323211. The next prime is 142122110323229. The reversal of 142122110323221 is 122323011221241.

142122110323221 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 2 + 2 + 110 + 323 + 221 = 666.

It is not a de Polignac number, because 142122110323221 - 218 = 142122110061077 is a prime.

It is a super-4 number, since 4×1421221103232214 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142122110323229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45560581 + ... + 48579941.

It is an arithmetic number, because the mean of its divisors is an integer number (3777825734400).

Almost surely, 2142122110323221 is an apocalyptic number.

It is an amenable number.

142122110323221 is a deficient number, since it is larger than the sum of its proper divisors (99658736678379).

142122110323221 is a wasteful number, since it uses less digits than its factorization.

142122110323221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020567 (or 3020561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 142122110323221 its reverse (122323011221241), we get a palindrome (264445121544462).

The spelling of 142122110323221 in words is "one hundred forty-two trillion, one hundred twenty-two billion, one hundred ten million, three hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 271 813 919 1897 2439 2757 5691 6433 7317 8271 17073 19299 24813 51219 57897 173691 249049 747147 1743343 2241441 3019361 5230029 6724323 9058083 15690087 21135527 27174249 47070261 63406581 81522747 190219743 570659229 818246831 2454740493 2774792759 5727727817 7364221479 8324378277 17183183451 19423549313 22092664437 24973134831 51549550353 58270647939 74919404493 154648651059 174811943817 524435831451 751968837689 2255906513067 5263781863823 6767719539201 15791345591469 20303158617603 47374036774407 142122110323221