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20234122412211 = 3319374726984317
BaseRepresentation
bin1001001100111000111111…
…01011011100000010110011
32122122100210210002022222000
410212130133223130002303
510123003440314142321
6111011232201545043
74155603262500141
oct446343753340263
978570723068860
1020234122412211
1164a1274665604
1223296127a5183
13b3a0b9a79566
144dd4a0084591
15251508cd9826
hex12671fadc0b3

20234122412211 has 128 divisors (see below), whose sum is σ = 33219942912000. Its totient is φ = 12124117366272.

The previous prime is 20234122412201. The next prime is 20234122412213. The reversal of 20234122412211 is 11221422143202.

20234122412211 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 412 + 24 + 1 + 221 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-20234122412211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20234122412213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239934625 + ... + 240018941.

It is an arithmetic number, because the mean of its divisors is an integer number (259530804000).

Almost surely, 220234122412211 is an apocalyptic number.

20234122412211 is a deficient number, since it is larger than the sum of its proper divisors (12985820499789).

20234122412211 is a wasteful number, since it uses less digits than its factorization.

20234122412211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84698 (or 84692 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20234122412211 its reverse (11221422143202), we get a palindrome (31455544555413).

The spelling of 20234122412211 in words is "twenty trillion, two hundred thirty-four billion, one hundred twenty-two million, four hundred twelve thousand, two hundred eleven".

Divisors: 1 3 9 19 27 37 47 57 111 141 171 269 333 423 513 703 807 893 999 1269 1739 2109 2421 2679 5111 5217 6327 7263 8037 9953 12643 15333 15651 18981 24111 29859 33041 37929 45999 46953 84317 89577 99123 113787 137997 189107 240217 252951 268731 297369 341361 467791 567321 720651 758853 892107 1403373 1602023 1701963 2161953 2276559 3119729 3962899 4210119 4806069 5105889 6485859 8888029 9359187 11888697 12630357 14418207 22681273 26664087 28077561 35666091 43254621 59274851 68043819 75295081 79992261 84232683 106998273 146627263 177824553 204131457 225885243 239976783 430944187 439881789 533473659 612394371 677655729 839207101 1066019831 1292832561 1319645367 1600420977 2032967187 2517621303 2785917997 3198059493 3878497683 3958936101 7552863909 8357753991 9594178479 11635493049 15944934919 20254376789 22658591727 25073261973 28782535437 39442733747 47834804757 60763130367 75219785919 118328201241 143504414271 182289391101 354984603723 430513242813 546868173303 749411941193 1064953811169 2248235823579 6744707470737 20234122412211