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1312111211232 = 25356392423803
BaseRepresentation
bin10011000101111111111…
…011000011001011100000
311122102210021201201201010
4103011333323003023200
5132444200432224412
62442435304540520
7163540224163203
oct23057773031340
94572707651633
101312111211232
11466510632478
12192367481740
13969682c9713
1447713c7593a
15241e731233c
hex1317fec32e0

1312111211232 has 48 divisors (see below), whose sum is σ = 3444904149120. Its totient is φ = 437292661632.

The previous prime is 1312111211227. The next prime is 1312111211233. The reversal of 1312111211232 is 2321121112131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13121112112322 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1312111211199 and 1312111211208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312111211233) 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, 670558 + ... + 1753245.

It is an arithmetic number, because the mean of its divisors is an integer number (71768836440).

Almost surely, 21312111211232 is an apocalyptic number.

1312111211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312111211232 is an abundant number, since it is smaller than the sum of its proper divisors (2132792937888).

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

1312111211232 is a wasteful number, since it uses less digits than its factorization.

1312111211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429455 (or 2429447 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

Adding to 1312111211232 its reverse (2321121112131), we get a palindrome (3633232323363).

The spelling of 1312111211232 in words is "one trillion, three hundred twelve billion, one hundred eleven million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5639 11278 16917 22556 33834 45112 67668 90224 135336 180448 270672 541344 2423803 4847606 7271409 9695212 14542818 19390424 29085636 38780848 58171272 77561696 116342544 232685088 13667825117 27335650234 41003475351 54671300468 82006950702 109342600936 164013901404 218685201872 328027802808 437370403744 656055605616 1312111211232