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114242130000020 = 2251110110947168899
BaseRepresentation
bin11001111110011100010001…
…100100111011100010010100
3112222111102220110112220202202
4121332130101210323202110
5104433220340240000040
61042550035432024032
733030502323543251
oct3176342144734224
9488442813486682
10114242130000020
11334458a710a5a0
1210990a82232018
134b98ca9831449
14202d4c4788428
15d31a7761a015
hex67e71193b894

114242130000020 has 96 divisors (see below), whose sum is σ = 266734469232000. Its totient is φ = 40753927872000.

The previous prime is 114242130000007. The next prime is 114242130000041. The reversal of 114242130000020 is 20000031242411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114242129999947 and 114242130000001.

It is a congruent number.

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, 21162470 + ... + 26006429.

It is an arithmetic number, because the mean of its divisors is an integer number (2778484054500).

Almost surely, 2114242130000020 is an apocalyptic number.

114242130000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114242130000020 is an abundant number, since it is smaller than the sum of its proper divisors (152492339231980).

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

114242130000020 is a wasteful number, since it uses less digits than its factorization.

114242130000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47169129 (or 47169127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114242130000020 its reverse (20000031242411), we get a palindrome (134242161242431).

The spelling of 114242130000020 in words is "one hundred fourteen trillion, two hundred forty-two billion, one hundred thirty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 101 109 110 202 218 220 404 436 505 545 1010 1090 1111 1199 2020 2180 2222 2398 4444 4796 5555 5995 11009 11110 11990 22018 22220 23980 44036 55045 110090 121099 220180 242198 484396 605495 1210990 2421980 47168899 94337798 188675596 235844495 471688990 518857889 943377980 1037715778 2075431556 2594289445 4764058799 5141409991 5188578890 9528117598 10282819982 10377157780 19056235196 20565639964 23820293995 25707049955 47640587990 51414099910 52404646789 56555509901 95281175980 102828199820 104809293578 113111019802 209618587156 226222039604 262023233945 282777549505 519282409091 524046467890 565555099010 1038564818182 1048092935780 1131110198020 2077129636364 2596412045455 5192824090910 5712106500001 10385648181820 11424213000002 22848426000004 28560532500005 57121065000010 114242130000020