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122313144341152 = 2543792334829161
BaseRepresentation
bin11011110011111000111111…
…100001010001001010100000
3121001002000121022221121221201
4123303320333201101022200
5112012434304422404102
61112045514403530544
734522555511523112
oct3363707741211240
9531060538847851
10122313144341152
1135a77793313356
1211875134689a54
135333106a5b8ab
14222bdb86413b2
15e219a3c56987
hex6f3e3f8512a0

122313144341152 has 96 divisors (see below), whose sum is σ = 250594101838080. Its totient is φ = 58725058129920.

The previous prime is 122313144341147. The next prime is 122313144341209. The reversal of 122313144341152 is 251143441313221.

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, 22913452 + ... + 27742612.

It is an arithmetic number, because the mean of its divisors is an integer number (2610355227480).

Almost surely, 2122313144341152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122313144341152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125297050919040).

122313144341152 is an abundant number, since it is smaller than the sum of its proper divisors (128280957496928).

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

122313144341152 is a wasteful number, since it uses less digits than its factorization.

122313144341152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829526 (or 4829518 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

Adding to 122313144341152 its reverse (251143441313221), we get a palindrome (373456585654373).

The spelling of 122313144341152 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred forty-four million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 79 86 158 172 233 316 344 466 632 688 932 1264 1376 1864 2528 3397 3728 6794 7456 10019 13588 18407 20038 27176 36814 40076 54352 73628 80152 108704 147256 160304 294512 320608 589024 791501 1583002 3166004 4829161 6332008 9658322 12664016 19316644 25328032 38633288 77266576 154533152 207653923 381503719 415307846 763007438 830615692 1125194513 1526014876 1661231384 2250389026 3052029752 3322462768 4500778052 6104059504 6644925536 9001556104 12208119008 16404659917 18003112208 32809319834 36006224416 48383364059 65618639668 88890366527 96766728118 131237279336 177780733054 193533456236 262474558672 355561466108 387066912472 524949117344 711122932216 774133824944 1422245864432 1548267649888 2844491728864 3822285760661 7644571521322 15289143042644 30578286085288 61156572170576 122313144341152