Search a number
-
+
12420101013144 = 23311105974439543
BaseRepresentation
bin1011010010111100011110…
…1101010111111010011000
31121222100110012020202000120
42310233013231113322120
53111442331324410034
642225414324433240
72421215452502256
oct264570755277230
947870405222016
1012420101013144
113a59376259960
121487122848820
136c1297612536
1430d1c963d5d6
1516811e389c49
hexb4bc7b57e98

12420101013144 has 64 divisors (see below), whose sum is σ = 33876206864640. Its totient is φ = 3763310962560.

The previous prime is 12420101013137. The next prime is 12420101013163. The reversal of 12420101013144 is 44131010102421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577837 + ... + 5017379.

It is an arithmetic number, because the mean of its divisors is an integer number (529315732260).

Almost surely, 212420101013144 is an apocalyptic number.

It is an amenable number.

12420101013144 is an abundant number, since it is smaller than the sum of its proper divisors (21456105851496).

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

12420101013144 is a wasteful number, since it uses less digits than its factorization.

12420101013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450160 (or 4450156 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12420101013144 its reverse (44131010102421), we get a palindrome (56551111115565).

The spelling of 12420101013144 in words is "twelve trillion, four hundred twenty billion, one hundred one million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 10597 21194 31791 42388 63582 84776 116567 127164 233134 254328 349701 466268 699402 932536 1398804 2797608 4439543 8879086 13318629 17758172 26637258 35516344 48834973 53274516 97669946 106549032 146504919 195339892 293009838 390679784 586019676 1172039352 47045837171 94091674342 141137511513 188183348684 282275023026 376366697368 517504208881 564550046052 1035008417762 1129100092104 1552512626643 2070016835524 3105025253286 4140033671048 6210050506572 12420101013144