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20314322341302 = 231129127184745247
BaseRepresentation
bin1001001111001110010111…
…11101111000110110110110
32122221000211001101212010010
410213213023331320312312
510130312213004410202
6111112134300441050
74164442562602323
oct447471375706666
978830731355103
1020314322341302
11652228a406340
122341075549186
13b4482b4422c2
1450330b5c3b4a
1525364eaeb76c
hex1279cbf78db6

20314322341302 has 128 divisors (see below), whose sum is σ = 46237577379840. Its totient is φ = 5893461624960.

The previous prime is 20314322341283. The next prime is 20314322341319.

It is a happy number.

20314322341302 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 20314322341302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448942443 + ... + 448987689.

It is an arithmetic number, because the mean of its divisors is an integer number (361231073280).

Almost surely, 220314322341302 is an apocalyptic number.

20314322341302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314322341302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23118788689920).

20314322341302 is an abundant number, since it is smaller than the sum of its proper divisors (25923255038538).

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

20314322341302 is a wasteful number, since it uses less digits than its factorization.

20314322341302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47266.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2031432 and 2341302, that added together give a palindrome (4372734).

The spelling of 20314322341302 in words is "twenty trillion, three hundred fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, three hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 127 174 254 319 381 638 762 957 1397 1847 1914 2794 3683 3694 4191 5541 7366 8382 11049 11082 20317 22098 40513 40634 45247 53563 60951 81026 90494 107126 121539 121902 135741 160689 234569 243078 271482 321378 469138 497717 589193 703707 995434 1178386 1312163 1407414 1493151 1767579 2580259 2624326 2986302 3535158 3936489 5160518 5746369 6802501 7740777 7872978 11492738 13605002 14433793 15481554 17239107 20407503 28867586 34478214 40815006 43301379 63210059 74827511 83571209 86602758 126420118 149655022 166644701 167142418 189630177 224482533 250713627 333289402 379260354 448965066 499934103 501427254 919283299 999868206 1833091711 1838566598 2423565061 2757849897 3666183422 4847130122 5499275133 5515699794 7270695183 10613543543 10998550266 14541390366 21227087086 26659215671 31840630629 53318431342 63681261258 79977647013 116748978973 159955294026 233497957946 307792762747 350246936919 615585525494 700493873838 923378288241 1846756576482 3385720390217 6771440780434 10157161170651 20314322341302