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1133212032 = 273536433
BaseRepresentation
bin100001110001011…
…0111000110000000
32220222100010200000
41003202313012000
54310100241112
6304240400000
740040100111
oct10342670600
92828303600
101133212032
11531739a77
12277616000
13150a0b984
14aa706208
15697467dc
hex438b7180

1133212032 has 96 divisors (see below), whose sum is σ = 3381803880. Its totient is φ = 377726976.

The previous prime is 1133212019. The next prime is 1133212049. The reversal of 1133212032 is 2302123311.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1133211996 and 1133212014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12888 + ... + 49320.

Almost surely, 21133212032 is an apocalyptic number.

1133212032 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 1133212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690901940).

1133212032 is an abundant number, since it is smaller than the sum of its proper divisors (2248591848).

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

1133212032 is an frugal number, since it uses more digits than its factorization.

1133212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36462 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1133212032 is about 33663.2148197406. The cubic root of 1133212032 is about 1042.5664033061.

Adding to 1133212032 its reverse (2302123311), we get a palindrome (3435335343).

The spelling of 1133212032 in words is "one billion, one hundred thirty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 36433 72866 109299 145732 218598 291464 327897 437196 582928 655794 874392 983691 1165856 1311588 1748784 1967382 2331712 2623176 2951073 3497568 3934764 4663424 5246352 5902146 6995136 7869528 8853219 10492704 11804292 13990272 15739056 17706438 20985408 23608584 31478112 35412876 41970816 47217168 62956224 70825752 94434336 125912448 141651504 188868672 283303008 377737344 566606016 1133212032