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110000121021 = 3272416479403
BaseRepresentation
bin110011001110010000…
…1001010010010111101
3101111221002122010101100
41212130201022102331
53300240012333041
6122311112203313
710642622413200
oct1463441122275
9344832563340
10110000121021
114271822302a
121939a999539
13a4b054000b
145477215937
152cdc11d6b6
hex199c84a4bd

110000121021 has 72 divisors (see below), whose sum is σ = 189650994624. Its totient is φ = 61222815360.

The previous prime is 110000121013. The next prime is 110000121041. The reversal of 110000121021 is 120121000011.

It is a happy number.

It is not a de Polignac number, because 110000121021 - 23 = 110000121013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000120994 and 110000121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000121041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11693706 + ... + 11703108.

It is an arithmetic number, because the mean of its divisors is an integer number (2634041592).

Almost surely, 2110000121021 is an apocalyptic number.

It is an amenable number.

110000121021 is a deficient number, since it is larger than the sum of its proper divisors (79650873603).

110000121021 is a wasteful number, since it uses less digits than its factorization.

110000121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110000121021 its reverse (120121000011), we get a palindrome (230121121032).

The spelling of 110000121021 in words is "one hundred ten billion, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 647 861 1941 2009 2583 4529 5823 6027 9403 13587 18081 26527 28209 31703 40761 65821 79581 84627 95109 185689 197463 238743 285327 385523 460747 557067 592389 1156569 1299823 1382241 1671201 2698661 3469707 3899469 4146723 6083741 8095983 11698407 18251223 18890627 24287949 42586187 54753669 56671881 127758561 170015643 249433381 298103309 383275683 748300143 894309927 1746033667 2244900429 2682929781 5238101001 12222235669 15714303003 36666707007 110000121021