Search a number
-
+
1112433333132 = 2231129577503647
BaseRepresentation
bin10000001100000010001…
…100011001001110001100
310221100101101120112101110
4100030002030121032030
5121211230413130012
62211013403012020
7143241064213122
oct20140214311614
93840341515343
101112433333132
11399864685220
1215b71b80a010
1380b95952524
143bbb0885912
151de0c2bb73c
hex1030231938c

1112433333132 has 96 divisors (see below), whose sum is σ = 2934374123520. Its totient is φ = 324912107520.

The previous prime is 1112433333107. The next prime is 1112433333191. The reversal of 1112433333132 is 2313333342111.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1112433333132.

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, 1956933 + ... + 2460579.

It is an arithmetic number, because the mean of its divisors is an integer number (30566397120).

Almost surely, 21112433333132 is an apocalyptic number.

1112433333132 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 1112433333132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467187061760).

1112433333132 is an abundant number, since it is smaller than the sum of its proper divisors (1821940790388).

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

1112433333132 is a wasteful number, since it uses less digits than its factorization.

1112433333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504271 (or 504269 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 1112433333132 its reverse (2313333342111), we get a palindrome (3425766675243).

The spelling of 1112433333132 in words is "one trillion, one hundred twelve billion, four hundred thirty-three million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 577 638 957 1154 1276 1731 1914 2308 3462 3828 6347 6924 12694 16733 19041 25388 33466 38082 50199 66932 76164 100398 184063 200796 368126 503647 552189 736252 1007294 1104378 1510941 2014588 2208756 3021882 5540117 6043764 11080234 14605763 16620351 22160468 29211526 33240702 43817289 58423052 66481404 87634578 160663393 175269156 290604319 321326786 481990179 581208638 642653572 871812957 963980358 1162417276 1743625914 1927960716 3196647509 3487251828 6393295018 8427525251 9589942527 12786590036 16855050502 19179885054 25282575753 33710101004 38359770108 50565151506 92702777761 101130303012 185405555522 278108333283 370811111044 556216666566 1112433333132