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11711020032 = 210322355249
BaseRepresentation
bin10101110100000011…
…11111110000000000
31010020011100110100200
422322001333300000
5142441010120112
65214023445200
7563132012355
oct127201776000
933204313320
1011711020032
114a6a624758
122329bb6800
13114832496a
147d14b662c
154881dbcdc
hex2ba07fc00

11711020032 has 132 divisors (see below), whose sum is σ = 35286186000. Its totient is φ = 3733880832.

The previous prime is 11711020019. The next prime is 11711020037. The reversal of 11711020032 is 23002011711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11711019987 and 11711020014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11711020037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184344 + ... + 239592.

Almost surely, 211711020032 is an apocalyptic number.

11711020032 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 11711020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643093000).

11711020032 is an abundant number, since it is smaller than the sum of its proper divisors (23575165968).

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

11711020032 is a wasteful number, since it uses less digits than its factorization.

11711020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55298 (or 55277 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 11711020032 its reverse (23002011711), we get a palindrome (34713031743).

The spelling of 11711020032 in words is "eleven billion, seven hundred eleven million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2208 2304 2944 3072 3312 4416 4608 5888 6624 8832 9216 11776 13248 17664 23552 26496 35328 52992 55249 70656 105984 110498 165747 211968 220996 331494 441992 497241 662988 883984 994482 1270727 1325976 1767968 1988964 2541454 2651952 3535936 3812181 3977928 5082908 5303904 7071872 7624362 7955856 10165816 10607808 11436543 14143744 15248724 15911712 20331632 21215616 22873086 28287488 30497448 31823424 40663264 42431232 45746172 56574976 60994896 63646848 81326528 84862464 91492344 121989792 127293696 162653056 169724928 182984688 243979584 254587392 325306112 365969376 487959168 509174784 650612224 731938752 975918336 1301224448 1463877504 1951836672 2927755008 3903673344 5855510016 11711020032