Search a number
-
+
21121202022219 = 32132961102048103
BaseRepresentation
bin1001100110101101010011…
…01111100110011101001011
32202210011111212212121010200
410303112221233212131023
510232022210204202334
6112530540220343243
74306646034663165
oct463265157463513
982704455777120
1021121202022219
1168034a6a05142
12245151b9a4b23
13ba294a7b8690
145303b3505935
15269626d8c799
hex1335a9be674b

21121202022219 has 48 divisors (see below), whose sum is σ = 34545324166080. Its totient is φ = 12343738417920.

The previous prime is 21121202022197. The next prime is 21121202022241. The reversal of 21121202022219 is 91222020212112.

21121202022219 is a `hidden beast` number, since 2 + 112 + 120 + 202 + 221 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (21121202022197) and next prime (21121202022241).

It is not a de Polignac number, because 21121202022219 - 28 = 21121202021963 is a prime.

It is a super-2 number, since 2×211212020222192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121202022192 and 21121202022201.

It is not an unprimeable number, because it can be changed into a prime (21121202122219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50817079 + ... + 51231024.

It is an arithmetic number, because the mean of its divisors is an integer number (719694253460).

Almost surely, 221121202022219 is an apocalyptic number.

21121202022219 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

21121202022219 is a deficient number, since it is larger than the sum of its proper divisors (13424122143861).

21121202022219 is a wasteful number, since it uses less digits than its factorization.

21121202022219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102048212 (or 102048209 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 21121202022219 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred two million, twenty-two thousand, two hundred nineteen".

Divisors: 1 3 9 13 29 39 61 87 117 183 261 377 549 793 1131 1769 2379 3393 5307 7137 15921 22997 68991 206973 102048103 306144309 918432927 1326625339 2959394987 3979876017 6224934283 8878184961 11939628051 18674802849 26634554883 38472134831 56024408547 80924145679 115416404493 180523094207 242772437037 346249213479 541569282621 728317311111 1624707847863 2346800224691 7040400674073 21121202022219