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1131242330432 = 26174125359629
BaseRepresentation
bin10000011101100011010…
…011000001100101000000
311000010221020000121002002
4100131203103001211000
5122013241014033212
62223404025043132
7144505145104004
oct20354323014500
94003836017062
101131242330432
113a6836893295
121632aa9264a8
13828a2666026
143ca76900704
151e65d6c7ac2
hex107634c1940

1131242330432 has 56 divisors (see below), whose sum is σ = 2434828795560. Its totient is φ = 519365181440.

The previous prime is 1131242330431. The next prime is 1131242330453. The reversal of 1131242330432 is 2340332421311.

It can be written as a sum of positive squares in 4 ways, for example, as 210225918016 + 921016412416 = 458504^2 + 959696^2 .

It is a super-2 number, since 2×11312423304322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131242330395 and 1131242330404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131242330431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12635207 + ... + 12724422.

It is an arithmetic number, because the mean of its divisors is an integer number (43479085635).

Almost surely, 21131242330432 is an apocalyptic number.

It is an amenable number.

1131242330432 is an abundant number, since it is smaller than the sum of its proper divisors (1303586465128).

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

1131242330432 is a wasteful number, since it uses less digits than its factorization.

1131242330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25359699 (or 25359689 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1131242330432 its reverse (2340332421311), we get a palindrome (3471574751743).

The spelling of 1131242330432 in words is "one trillion, one hundred thirty-one billion, two hundred forty-two million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 2624 2788 5576 11152 22304 44608 25359629 50719258 101438516 202877032 405754064 431113693 811508128 862227386 1039744789 1623016256 1724454772 2079489578 3448909544 4158979156 6897819088 8317958312 13795638176 16635916624 17675661413 27591276352 33271833248 35351322826 66543666496 70702645652 141405291304 282810582608 565621165216 1131242330432