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122032131342 = 2311109103116453
BaseRepresentation
bin111000110100110101…
…1101000110100001110
3102122222121222120122020
41301221223220310032
53444410211200332
6132021044031010
711550033000402
oct1615153506416
9378877876566
10122032131342
1147831a58510
121b798392466
13b67a201854
145c991a7102
1532935b382c
hex1c69ae8d0e

122032131342 has 64 divisors (see below), whose sum is σ = 268971563520. Its totient is φ = 36602409600.

The previous prime is 122032131337. The next prime is 122032131401. The reversal of 122032131342 is 243131230221.

It is a super-2 number, since 2×1220321313422 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 7408788 + ... + 7425240.

It is an arithmetic number, because the mean of its divisors is an integer number (4202680680).

Almost surely, 2122032131342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122032131342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134485781760).

122032131342 is an abundant number, since it is smaller than the sum of its proper divisors (146939432178).

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

122032131342 is a wasteful number, since it uses less digits than its factorization.

122032131342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122032131342 its reverse (243131230221), we get a palindrome (365163361563).

The spelling of 122032131342 in words is "one hundred twenty-two billion, thirty-two million, one hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1031 1199 2062 2398 3093 3597 6186 7194 11341 16453 22682 32906 34023 49359 68046 98718 112379 180983 224758 337137 361966 542949 674274 1085898 1236169 1793377 2472338 3586754 3708507 5380131 7417014 10760262 16963043 19727147 33926086 39454294 50889129 59181441 101778258 118362882 186593473 373186946 559780419 1119560838 1848971687 3697943374 5546915061 11093830122 20338688557 40677377114 61016065671 122032131342