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1242022202421 = 3711213371016201
BaseRepresentation
bin10010000100101110010…
…010101100110000110101
311101201212122220011200220
4102010232102230300311
5130322130140434141
62350324354124553
7155506316346510
oct22045622546065
94351778804626
101242022202421
11439814176800
12180866880759
13901785b9340
14441854cdd77
1522493ebd766
hex1212e4acc35

1242022202421 has 96 divisors (see below), whose sum is σ = 2300876438784. Its totient is φ = 579477888000.

The previous prime is 1242022202413. The next prime is 1242022202441.

1242022202421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1242022202421 - 23 = 1242022202413 is a prime.

It is a super-2 number, since 2×12420222024212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1242022202391 and 1242022202400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242022202411) 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, 714121 + ... + 1730321.

It is an arithmetic number, because the mean of its divisors is an integer number (23967462904).

Almost surely, 21242022202421 is an apocalyptic number.

1242022202421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1242022202421 is a deficient number, since it is larger than the sum of its proper divisors (1058854236363).

1242022202421 is a wasteful number, since it uses less digits than its factorization.

1242022202421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016283 (or 1016272 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 1242022202421 in words is "one trillion, two hundred forty-two billion, twenty-two million, two hundred two thousand, four hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1443 1573 2541 2849 3003 3367 4477 4719 5291 8547 10101 11011 13431 15873 31339 33033 37037 58201 94017 111111 174603 407407 1016201 1222221 3048603 7113407 11178211 13210613 21340221 33534633 37599437 39631839 78247477 92474291 112798311 122960321 145316743 234742431 263196059 277422873 368880963 413593807 435950229 488792681 789588177 860722247 1017217201 1240781421 1466378043 1598484173 2582166741 2895156649 3051651603 3421548767 4549531877 4795452519 5376719491 8685469947 10264646301 11189389211 13648595631 16130158473 31846723139 33568167633 37637036437 59143914401 95540169417 112911109311 177431743203 414007400807 1242022202421