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122311201300 = 22521399379391
BaseRepresentation
bin111000111101001010…
…0001101001000010100
3102200201002002210122121
41301322110031020110
54000443131420200
6132104453305324
711556662025421
oct1617224151024
9380632083577
10122311201300
1147965536942
121b855935244
13b6c2c81ac2
145cc428cd48
1532acd3ae1a
hex1c7a50d214

122311201300 has 72 divisors (see below), whose sum is σ = 267638564480. Its totient is φ = 48515500800.

The previous prime is 122311201297. The next prime is 122311201303. The reversal of 122311201300 is 3102113221.

It is an interprime number because it is at equal distance from previous prime (122311201297) and next prime (122311201303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311201303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13019605 + ... + 13028995.

Almost surely, 2122311201300 is an apocalyptic number.

122311201300 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 122311201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133819282240).

122311201300 is an abundant number, since it is smaller than the sum of its proper divisors (145327363180).

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

122311201300 is a wasteful number, since it uses less digits than its factorization.

122311201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122311201300 its reverse (3102113221), we get a palindrome (125413314521).

The spelling of 122311201300 in words is "one hundred twenty-two billion, three hundred eleven million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 937 1390 1874 2780 3475 3748 4685 6950 9370 9391 13900 18740 18782 23425 37564 46850 46955 93700 93910 130243 187820 234775 260486 469550 520972 651215 939100 1302430 1305349 2604860 2610698 3256075 5221396 6512150 6526745 8799367 13024300 13053490 17598734 26106980 32633725 35197468 43996835 65267450 87993670 130534900 175987340 219984175 439968350 879936700 1223112013 2446224026 4892448052 6115560065 12231120130 24462240260 30577800325 61155600650 122311201300