Search a number
-
+
301121011100112 = 24372819978132503
BaseRepresentation
bin100010001110111100011001…
…0111001101010100111010000
31110111011212222000002211102220
41010131320302321222213100
5303432031312320200422
62544233025514341040
7120266163236553210
oct10435706271524720
91414155860084386
10301121011100112
1187a45781614a65
122993332942a780
13cc037881b03b8
1454504985c2240
1524c2cadc00e5c
hex111de32e6a9d0

301121011100112 has 160 divisors (see below), whose sum is σ = 889457595832320. Its totient is φ = 85992616327680.

The previous prime is 301121011100101. The next prime is 301121011100123. The reversal of 301121011100112 is 211001110121103.

It is an interprime number because it is at equal distance from previous prime (301121011100101) and next prime (301121011100123).

It is a junction number, because it is equal to n+sod(n) for n = 301121011100091 and 301121011100100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9264390453 + ... + 9264422955.

It is an arithmetic number, because the mean of its divisors is an integer number (5559109973952).

Almost surely, 2301121011100112 is an apocalyptic number.

It is an amenable number.

301121011100112 is an abundant number, since it is smaller than the sum of its proper divisors (588336584732208).

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

301121011100112 is a wasteful number, since it uses less digits than its factorization.

301121011100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45121 (or 45115 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 301121011100112 its reverse (211001110121103), we get a palindrome (512122121221215).

The spelling of 301121011100112 in words is "three hundred one trillion, one hundred twenty-one billion, eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2819 5638 8457 9781 11276 16914 19562 19733 22552 29343 32503 33828 39124 39466 45104 58686 59199 65006 67656 68467 78248 78932 97509 117372 118398 130012 135312 136934 156496 157864 195018 205401 227521 234744 236796 260024 273868 315728 390036 410802 455042 469488 473592 520048 547736 682563 780072 821604 910084 947184 1095472 1365126 1560144 1643208 1820168 2730252 3286416 3640336 5460504 10921008 27572639 55145278 82717917 91625957 110290556 165435834 183251914 193008473 220581112 274877871 317911843 330871668 366503828 386016946 441162224 549755742 579025419 635823686 641381699 661743336 733007656 772033892 953735529 1099511484 1158050838 1271647372 1282763398 1323486672 1466015312 1544067784 1907471058 1924145097 2199022968 2225382901 2316101676 2543294744 2565526796 3088135568 3814942116 3848290194 4398045936 4450765802 4632203352 5086589488 5131053592 6676148703 7629884232 7696580388 8901531604 9264406704 10262107184 13352297406 15259768464 15393160776 17803063208 26704594812 30786321552 35606126416 53409189624 106818379248 896193485417 1792386970834 2688580456251 3584773941668 5377160912502 6273354397919 7169547883336 10754321825004 12546708795838 14339095766672 18820063193757 21508643650008 25093417591676 37640126387514 43017287300016 50186835183352 75280252775028 100373670366704 150560505550056 301121011100112