Search a number
-
+
122420550105340 = 22541260957222443
BaseRepresentation
bin11011110101011101000001…
…011001101111100011111100
3121001110021211121211202210221
4123311131001121233203330
5112021214241311332330
61112211120242111124
734533410232460624
oct3365350131574374
9531407747752727
10122420550105340
113600929a045723
1211891b0a64b4a4
135340292953406
142233287083884
15e2468d20bb7a
hex6f574166f8fc

122420550105340 has 48 divisors (see below), whose sum is σ = 263454421073760. Its totient is φ = 47755561195520.

The previous prime is 122420550105289. The next prime is 122420550105379. The reversal of 122420550105340 is 43501055024221.

It is a happy number.

It is a super-2 number, since 2×1224205501053402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122420550105296 and 122420550105305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26471842 + ... + 30750601.

It is an arithmetic number, because the mean of its divisors is an integer number (5488633772370).

Almost surely, 2122420550105340 is an apocalyptic number.

122420550105340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122420550105340 is an abundant number, since it is smaller than the sum of its proper divisors (141033870968420).

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

122420550105340 is a wasteful number, since it uses less digits than its factorization.

122420550105340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57225102 (or 57225100 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 122420550105340 in words is "one hundred twenty-two trillion, four hundred twenty billion, five hundred fifty million, one hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2609 5218 10436 13045 26090 52180 106969 213938 427876 534845 1069690 2139380 57222443 114444886 228889772 286112215 572224430 1144448860 2346120163 4692240326 9384480652 11730600815 23461201630 46922403260 149293353787 298586707574 597173415148 746466768935 1492933537870 2985867075740 6121027505267 12242055010534 24484110021068 30605137526335 61210275052670 122420550105340