Search a number
-
+
1131272819404 = 2272131074149389
BaseRepresentation
bin10000011101100101000…
…111010101001011001100
311000011000100101121002021
4100131211013111023030
5122013321320210104
62223411034335524
7144505665210100
oct20354507251314
94004010347067
101131272819404
113a6852018092
121632b8b8a5a4
13828a8a7c740
143ca7a999900
151e6611eb754
hex107651d52cc

1131272819404 has 72 divisors (see below), whose sum is σ = 2503277194320. Its totient is φ = 443353809024.

The previous prime is 1131272819393. The next prime is 1131272819431. The reversal of 1131272819404 is 4049182721311.

It is a super-3 number, since 3×11312728194043 (a number of 37 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1802059 + ... + 2347330.

It is an arithmetic number, because the mean of its divisors is an integer number (34767738810).

Almost surely, 21131272819404 is an apocalyptic number.

1131272819404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1131272819404 is an abundant number, since it is smaller than the sum of its proper divisors (1372004374916).

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

1131272819404 is a wasteful number, since it uses less digits than its factorization.

1131272819404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149527 (or 4149518 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 1131272819404 in words is "one trillion, one hundred thirty-one billion, two hundred seventy-two million, eight hundred nineteen thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 107 182 196 214 364 428 637 749 1274 1391 1498 2548 2782 2996 5243 5564 9737 10486 19474 20972 38948 68159 136318 272636 4149389 8298778 16597556 29045723 53942057 58091446 107884114 116182892 203320061 215768228 377594399 406640122 443984623 755188798 813280244 887969246 1510377596 1775938492 2643160793 3107892361 5286321586 5771800099 6215784722 10572643172 11543600198 12431569444 21755246527 23087200396 40402600693 43510493054 80805201386 87020986108 161610402772 282818204851 565636409702 1131272819404