Search a number
-
+
142420100020 = 225112583910079
BaseRepresentation
bin1000010010100011100…
…1100100001110110100
3111121121111112200212021
42010220321210032310
54313134021200040
6145232113002524
713201205606332
oct2045071441664
9447544480767
10142420100020
1155444485100
1223728253444
1310579097743
146c70c00b52
153a8841824a
hex2128e643b4

142420100020 has 72 divisors (see below), whose sum is σ = 328832179200. Its totient is φ = 51775120320.

The previous prime is 142420099981. The next prime is 142420100021. The reversal of 142420100020 is 20001024241.

It is a junction number, because it is equal to n+sod(n) for n = 142420099967 and 142420100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142420100021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14125341 + ... + 14135419.

It is an arithmetic number, because the mean of its divisors is an integer number (4567113600).

Almost surely, 2142420100020 is an apocalyptic number.

142420100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142420100020 is an abundant number, since it is smaller than the sum of its proper divisors (186412079180).

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

142420100020 is a wasteful number, since it uses less digits than its factorization.

142420100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15949 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 142420100020 its reverse (20001024241), we get a palindrome (162421124261).

The spelling of 142420100020 in words is "one hundred forty-two billion, four hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5839 10079 11678 20158 23356 29195 40316 50395 58390 64229 100790 110869 116780 128458 201580 221738 256916 321145 443476 554345 642290 706519 1108690 1219559 1284580 1413038 2217380 2439118 2826076 3532595 4878236 6097795 7065190 12195590 14130380 24391180 58851281 117702562 235405124 294256405 588512810 647364091 1177025620 1294728182 2589456364 3236820455 6473640910 7121005001 12947281820 14242010002 28484020004 35605025005 71210050010 142420100020