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1431210121341 = 3711213101428977
BaseRepresentation
bin10100110100111010110…
…001010101100001111101
312001211012111100020020220
4110310322301111201331
5141422104242340331
63013253331531553
7205254502210320
oct24647261254175
95054174306226
101431210121341
11501a77890400
121b1465459bb9
13a4c688c82b0
144d3b165a7b7
1527368123296
hex14d3ac5587d

1431210121341 has 96 divisors (see below), whose sum is σ = 2607142965504. Its totient is φ = 679497984000.

The previous prime is 1431210121337. The next prime is 1431210121349.

1431210121341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1431210121341 - 22 = 1431210121337 is a prime.

It is a super-2 number, since 2×14312101213412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431210121349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3121845 + ... + 3550821.

It is an arithmetic number, because the mean of its divisors is an integer number (27157739224).

Almost surely, 21431210121341 is an apocalyptic number.

1431210121341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1431210121341 is a deficient number, since it is larger than the sum of its proper divisors (1175932844163).

1431210121341 is a wasteful number, since it uses less digits than its factorization.

1431210121341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429123 (or 429112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1431210 and 121341, that added together give a palindrome (1552551).

The spelling of 1431210121341 in words is "one trillion, four hundred thirty-one billion, two hundred ten million, one hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 121 143 231 273 303 363 429 707 847 1001 1111 1313 1573 2121 2541 3003 3333 3939 4719 7777 9191 11011 12221 14443 23331 27573 33033 36663 43329 85547 101101 158873 256641 303303 428977 476619 1112111 1286931 3002839 3336333 4718747 5576701 9008517 14156241 16730103 33031229 39036907 43326677 51906217 61343711 99093687 117110721 129980031 155718651 184031133 303286739 363343519 429405977 476593447 563246801 674780821 909860217 1090030557 1288217931 1429780341 1689740403 2024342463 3336154129 3942727607 4723465747 5242527917 6195714811 10008462387 11828182821 14170397241 15727583751 18587144433 36697695419 43370003677 68152862921 110093086257 130110011031 204458588763 477070040447 1431210121341