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1132001016 = 233478571171
BaseRepresentation
bin100001101111000…
…1111011011111000
32220220001121110120
41003132033123320
54304243013031
6304154413240
740023564336
oct10336173370
92826047416
101132001016
11530a92133
12277131220
131506a66b3
14aa4acb56
15695a7a96
hex4378f6f8

1132001016 has 64 divisors (see below), whose sum is σ = 2896058880. Its totient is φ = 368559360.

The previous prime is 1132001009. The next prime is 1132001023. The reversal of 1132001016 is 6101002311.

It is an interprime number because it is at equal distance from previous prime (1132001009) and next prime (1132001023).

It is a junction number, because it is equal to n+sod(n) for n = 1132000986 and 1132001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966111 + ... + 967281.

It is an arithmetic number, because the mean of its divisors is an integer number (45250920).

Almost surely, 21132001016 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 1132001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448029440).

1132001016 is an abundant number, since it is smaller than the sum of its proper divisors (1764057864).

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

1132001016 is a wasteful number, since it uses less digits than its factorization.

1132001016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1132001016 is about 33645.2227812508. Note that the first 3 decimals coincide. The cubic root of 1132001016 is about 1042.1948886566.

Adding to 1132001016 its reverse (6101002311), we get a palindrome (7233003327).

The spelling of 1132001016 in words is "one billion, one hundred thirty-two million, one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 857 1128 1171 1714 2342 2571 3428 3513 4684 5142 6856 7026 9368 10284 14052 20568 28104 40279 55037 80558 110074 120837 161116 165111 220148 241674 322232 330222 440296 483348 660444 966696 1003547 1320888 2007094 3010641 4014188 6021282 8028376 12042564 24085128 47166709 94333418 141500127 188666836 283000254 377333672 566000508 1132001016