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10131323203122 = 23111316827171641
BaseRepresentation
bin1001001101101110000111…
…1010111010111000110010
31022212112201100000011220020
42103123201322322320302
52311442422214444442
633314133213024310
72063651430221562
oct223334172727062
938775640004806
1010131323203122
113256740909250
121177627785096
135864c2200384
14270504238da2
1512881402b9ec
hex936e1ebae32

10131323203122 has 64 divisors (see below), whose sum is σ = 22276835716608. Its totient is φ = 3046198064000.

The previous prime is 10131323203103. The next prime is 10131323203159. The reversal of 10131323203122 is 22130232313101.

It is a super-2 number, since 2×101313232031222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131323203092 and 10131323203101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58940422 + ... + 59112062.

It is an arithmetic number, because the mean of its divisors is an integer number (348075558072).

Almost surely, 210131323203122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131323203122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138417858304).

10131323203122 is an abundant number, since it is smaller than the sum of its proper divisors (12145512513486).

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

10131323203122 is a wasteful number, since it uses less digits than its factorization.

10131323203122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178615.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10131323203122 its reverse (22130232313101), we get a palindrome (32261555516223).

The spelling of 10131323203122 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 2882 4323 6827 8646 13654 20481 40962 75097 150194 171641 225291 343282 450582 514923 894337 1029846 1788674 1888051 2683011 3776102 5366022 5664153 9837707 11328306 19675414 22484971 29513121 44969942 59026242 67454913 134909826 247334681 494669362 742004043 1171793107 1484008086 2343586214 3515379321 7030758642 12889724177 25779448354 38669172531 77338345062 153504897017 307009794034 460514691051 921029382102 1688553867187 3377107734374 5065661601561 10131323203122