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1077003011232 = 25341567265163
BaseRepresentation
bin11111010110000100110…
…00011100010010100000
310210221221012011200210000
433223002120130102200
5120121200232324412
62142433544140000
7140545065356031
oct17530230342240
93727835150700
101077003011232
11385833138a55
12154892167600
137a73a531905
143a1ad160a88
151d036a884dc
hexfac261c4a0

1077003011232 has 120 divisors (see below), whose sum is σ = 3169469229696. Its totient is φ = 358770549888.

The previous prime is 1077003011213. The next prime is 1077003011233. The reversal of 1077003011232 is 2321103007701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1077003011196 and 1077003011205.

It is not an unprimeable number, because it can be changed into a prime (1077003011233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3929083 + ... + 4194245.

Almost surely, 21077003011232 is an apocalyptic number.

1077003011232 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 1077003011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584734614848).

1077003011232 is an abundant number, since it is smaller than the sum of its proper divisors (2092466218464).

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

1077003011232 is a wasteful number, since it uses less digits than its factorization.

1077003011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266752 (or 266735 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 1077003011232 its reverse (2321103007701), we get a palindrome (3398106018933).

The spelling of 1077003011232 in words is "one trillion, seventy-seven billion, three million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1567 2592 3134 4701 6268 9402 12536 14103 18804 25072 28206 37608 42309 50144 56412 75216 84618 112824 126927 150432 169236 225648 253854 265163 338472 451296 507708 530326 676944 795489 1015416 1060652 1353888 1590978 2030832 2121304 2386467 3181956 4061664 4242608 4772934 6363912 7159401 8485216 9545868 12727824 14318802 19091736 21478203 25455648 28637604 38183472 42956406 57275208 76366944 85912812 114550416 171825624 229100832 343651248 415510421 687302496 831020842 1246531263 1662041684 2493062526 3324083368 3739593789 4986125052 6648166736 7479187578 9972250104 11218781367 13296333472 14958375156 19944500208 22437562734 29916750312 33656344101 39889000416 44875125468 59833500624 67312688202 89750250936 119667001248 134625376404 179500501872 269250752808 359001003744 538501505616 1077003011232