Search a number
-
+
1242143002212 = 22372103310931871
BaseRepresentation
bin10010000100110101011…
…111100000111001100100
311101202012002012102212020
4102010311133200321210
5130322402102032322
62350344351223140
7155512314211500
oct22046537407144
94352162172766
101242143002212
11439876384442
1218089b217ab0
13901976332c8
1444197577300
152249e8d105c
hex121357e0e64

1242143002212 has 144 divisors (see below), whose sum is σ = 3379687863552. Its totient is φ = 354040727040.

The previous prime is 1242143002129. The next prime is 1242143002223. The reversal of 1242143002212 is 2122003412421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663891637 + ... + 663893507.

It is an arithmetic number, because the mean of its divisors is an integer number (23470054608).

Almost surely, 21242143002212 is an apocalyptic number.

1242143002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242143002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689843931776).

1242143002212 is an abundant number, since it is smaller than the sum of its proper divisors (2137544861340).

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

1242143002212 is a wasteful number, since it uses less digits than its factorization.

1242143002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1242143002212 its reverse (2122003412421), we get a palindrome (3364146414633).

The spelling of 1242143002212 in words is "one trillion, two hundred forty-two billion, one hundred forty-three million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1033 1093 1871 2066 2186 3099 3279 3742 4132 4372 5613 6198 6558 7231 7484 7651 11226 12396 13097 13116 14462 15302 21693 22452 22953 26194 28924 30604 39291 43386 45906 50617 52388 53557 78582 86772 91679 91812 101234 107114 151851 157164 160671 183358 202468 214228 275037 303702 321342 366716 550074 607404 642684 1100148 1129069 1932743 2045003 2258138 3387207 3865486 4090006 4516276 5798229 6135009 6774414 7730972 7903483 8180012 11596458 12270018 13529201 13548828 14315021 15806966 23192916 23710449 24540036 27058402 28630042 31613932 40587603 42945063 47420898 54116804 55324381 57260084 81175206 85890126 94704407 94841796 100205147 110648762 162350412 165973143 171780252 189408814 200410294 221297524 284113221 300615441 331946286 378817628 400820588 568226442 601230882 663892572 1136452884 1202461764 2112488099 4224976198 6337464297 8449952396 12674928594 14787416693 25349857188 29574833386 44362250079 59149666772 88724500158 103511916851 177449000316 207023833702 310535750553 414047667404 621071501106 1242143002212