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1342140220122 = 23132371103102301
BaseRepresentation
bin10011100001111101110…
…010101000001011011010
311202022022001121102210120
4103201331302220023122
5133442200344020442
62504323134454110
7165652325432112
oct23417562501332
94668261542716
101342140220122
1147822018a299
12198148064336
13997426aa630
1448d620b2042
1524da376b4ec
hex1387dca82da

1342140220122 has 128 divisors (see below), whose sum is σ = 3088662700032. Its totient is φ = 385662816000.

The previous prime is 1342140220103. The next prime is 1342140220123. The reversal of 1342140220122 is 2210220412431.

It is a super-2 number, since 2×13421402201222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1342140220092 and 1342140220101.

It is not an unprimeable number, because it can be changed into a prime (1342140220123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13068372 + ... + 13170672.

It is an arithmetic number, because the mean of its divisors is an integer number (24130177344).

Almost surely, 21342140220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342140220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544331350016).

1342140220122 is an abundant number, since it is smaller than the sum of its proper divisors (1746522479910).

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

1342140220122 is a wasteful number, since it uses less digits than its factorization.

1342140220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102516.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1342140220122 its reverse (2210220412431), we get a palindrome (3552360632553).

The spelling of 1342140220122 in words is "one trillion, three hundred forty-two billion, one hundred forty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 71 78 103 138 142 206 213 299 309 426 598 618 897 923 1339 1633 1794 1846 2369 2678 2769 3266 4017 4738 4899 5538 7107 7313 8034 9798 14214 14626 21229 21939 30797 42458 43878 61594 63687 92391 95069 102301 127374 168199 184782 190138 204602 285207 306903 336398 504597 570414 613806 1009194 1329913 2186587 2352923 2659826 3989739 4373174 4705846 6559761 7058769 7263371 7979478 10537003 13119522 14117538 14526742 21074006 21790113 30587999 31611009 43580226 61175998 63222018 91763997 94423823 136981039 167057533 183527994 188847646 242351069 273962078 283271469 334115066 410943117 484702138 501172599 566542938 727053207 748127213 821886234 1002345198 1454106414 1496254426 2171747929 2244381639 3150563897 4343495858 4488763278 6301127794 6515243787 9451691691 9725653769 13030487574 17206925899 18903383382 19451307538 29176961307 34413851798 51620777697 58353922614 103241555394 223690036687 447380073374 671070110061 1342140220122