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21121110202122 = 2327712360955757
BaseRepresentation
bin1001100110101101001000…
…10001010101011100001010
32202210011021111002122122100
410303112210101111130022
510232022013202431442
6112530523140334230
74306643541350130
oct463264421253412
982704244078570
1021121110202122
11680345a0a0367
1224514b50a4376
13ba293477a168
145303a5243750
1526961dca184c
hex1335a445570a

21121110202122 has 48 divisors (see below), whose sum is σ = 53036510147712. Its totient is φ = 5949608505120.

The previous prime is 21121110202067. The next prime is 21121110202139. The reversal of 21121110202122 is 22120201112112.

21121110202122 is a `hidden beast` number, since 211 + 21 + 110 + 202 + 122 = 666.

It is a super-2 number, since 2×211211102021222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21121110202095 and 21121110202104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180468933 + ... + 1180486824.

It is an arithmetic number, because the mean of its divisors is an integer number (1104927294744).

Almost surely, 221121110202122 is an apocalyptic number.

21121110202122 is an abundant number, since it is smaller than the sum of its proper divisors (31915399945590).

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

21121110202122 is a wasteful number, since it uses less digits than its factorization.

21121110202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360955843 (or 2360955840 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21121110202122 its reverse (22120201112112), we get a palindrome (43241311314234).

The spelling of 21121110202122 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4473 8946 2360955757 4721911514 7082867271 14165734542 16526690299 21248601813 33053380598 42497203626 49580070897 99160141794 148740212691 167627858747 297480425382 335255717494 502883576241 1005767152482 1173395011229 1508650728723 2346790022458 3017301457446 3520185033687 7040370067374 10560555101061 21121110202122