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122847702140 = 225172989139991
BaseRepresentation
bin111001001101001001…
…0110010110001111100
3102202002110121212110002
41302122102302301330
54003043002432030
6132234020333432
711606165145002
oct1623222626174
9382073555402
10122847702140
1148110363969
121b985544278
13b77a176b17
145d35626a72
1532deeb4245
hex1c9a4b2c7c

122847702140 has 96 divisors (see below), whose sum is σ = 285751670400. Its totient is φ = 44151726080.

The previous prime is 122847702139. The next prime is 122847702149. The reversal of 122847702140 is 41207748221.

It is a happy number.

122847702140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122847702094 and 122847702103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122847702149) by changing a digit.

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, 807545 + ... + 947535.

It is an arithmetic number, because the mean of its divisors is an integer number (2976579900).

Almost surely, 2122847702140 is an apocalyptic number.

122847702140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122847702140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142875835200).

122847702140 is an abundant number, since it is smaller than the sum of its proper divisors (162903968260).

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

122847702140 is a wasteful number, since it uses less digits than its factorization.

122847702140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140135 (or 140133 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The spelling of 122847702140 in words is "one hundred twenty-two billion, eight hundred forty-seven million, seven hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 89 116 145 170 178 290 340 356 445 493 580 890 986 1513 1780 1972 2465 2581 3026 4930 5162 6052 7565 9860 10324 12905 15130 25810 30260 43877 51620 87754 139991 175508 219385 279982 438770 559964 699955 877540 1399910 2379847 2799820 4059739 4759694 8119478 9519388 11899235 12459199 16238956 20298695 23798470 24918398 40597390 47596940 49836796 62295995 69015563 81194780 124591990 138031126 211806383 249183980 276062252 345077815 361316771 423612766 690155630 722633542 847225532 1059031915 1380311260 1445267084 1806583855 2118063830 3613167710 4236127660 6142385107 7226335420 12284770214 24569540428 30711925535 61423851070 122847702140