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1133010331232 = 251334743118211
BaseRepresentation
bin10000011111001100101…
…011011010011001100000
311000022111102211100020012
4100133030223122121200
5122030401121044412
62224255303304052
7144600023625203
oct20371453323140
94008442740205
101133010331232
113a756388147a
12163702a4b028
1382ac4a31150
143cba364793a
151e713a0ec22
hex107ccada660

1133010331232 has 96 divisors (see below), whose sum is σ = 2414844762624. Its totient is φ = 520182489600.

The previous prime is 1133010331217. The next prime is 1133010331241. The reversal of 1133010331232 is 2321330103311.

It is a junction number, because it is equal to n+sod(n) for n = 1133010331198 and 1133010331207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 62206607 + ... + 62224817.

It is an arithmetic number, because the mean of its divisors is an integer number (25154632944).

Almost surely, 21133010331232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133010331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207422381312).

1133010331232 is an abundant number, since it is smaller than the sum of its proper divisors (1281834431392).

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

1133010331232 is a wasteful number, since it uses less digits than its factorization.

1133010331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19012 (or 19004 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1133010331232 its reverse (2321330103311), we get a palindrome (3454340434543).

The spelling of 1133010331232 in words is "one trillion, one hundred thirty-three billion, ten million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 347 416 431 694 862 1388 1724 2776 3448 4511 5552 5603 6896 9022 11104 11206 13792 18044 18211 22412 36088 36422 44824 72176 72844 89648 144352 145688 149557 179296 236743 291376 299114 473486 582752 598228 946972 1196456 1893944 1944241 2392912 3787888 3888482 4785824 6319217 7575776 7776964 7848941 12638434 15553928 15697882 25276868 31107856 31395764 50553736 62215712 62791528 82149821 101107472 102036233 125583056 164299642 202214944 204072466 251166112 328599284 408144932 657198568 816289864 1314397136 1632579728 2628794272 2723582527 3265159456 5447165054 10894330108 21788660216 35406572851 43577320432 70813145702 87154640864 141626291404 283252582808 566505165616 1133010331232