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23121918261 = 361331211373
BaseRepresentation
bin10101100010001011…
…000111100100110101
32012200101222011000000
4111202023013210311
5334323202341021
614342210541513
71445661030261
oct254213074465
965611864000
1023121918261
1198957a1462
124593597899
132246408250
141194b870a1
15904d93b26
hex5622c7935

23121918261 has 112 divisors (see below), whose sum is σ = 38824479232. Its totient is φ = 13667875200.

The previous prime is 23121918223. The next prime is 23121918269. The reversal of 23121918261 is 16281912132.

It is not a de Polignac number, because 23121918261 - 225 = 23088363829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121918269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61988871 + ... + 61989243.

It is an arithmetic number, because the mean of its divisors is an integer number (346647136).

Almost surely, 223121918261 is an apocalyptic number.

It is an amenable number.

23121918261 is a deficient number, since it is larger than the sum of its proper divisors (15702560971).

23121918261 is a wasteful number, since it uses less digits than its factorization.

23121918261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 631 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 23121918261 in words is "twenty-three billion, one hundred twenty-one million, nine hundred eighteen thousand, two hundred sixty-one".

Divisors: 1 3 9 13 27 31 39 81 93 117 211 243 279 351 373 403 633 729 837 1053 1119 1209 1899 2511 2743 3159 3357 3627 4849 5697 6541 7533 8229 9477 10071 10881 11563 14547 17091 19623 22599 24687 30213 32643 34689 43641 51273 58869 74061 78703 85033 90639 97929 104067 130923 150319 153819 176607 222183 236109 255099 271917 293787 312201 392769 450957 529821 666549 708327 765297 936603 1023139 1178307 1352871 1589463 1999647 2124981 2295891 2439793 2809809 3069417 3534921 4058613 4768389 6374943 6887673 7319379 8429427 9208251 12175839 19124829 20663019 21958137 27624753 31717309 36527517 57374487 61989057 65874411 82874259 95151927 109582551 197623233 248622777 285455781 592869699 745868331 856367343 1778609097 2569102029 7707306087 23121918261