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1033132131332 = 2272937211162973
BaseRepresentation
bin11110000100010110111…
…10010100010000000100
310122202200202101002022022
433002023132110100010
5113411323311200312
62110340411022312
7134432656136060
oct17021336242004
93582622332268
101033132131332
11369170177614
12148289a3a998
1376568528a92
143800a850aa0
151bd1a334172
hexf08b794404

1033132131332 has 96 divisors (see below), whose sum is σ = 2205703153920. Its totient is φ = 413974955520.

The previous prime is 1033132131329. The next prime is 1033132131341. The reversal of 1033132131332 is 2331312313301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6257798 + ... + 6420770.

It is an arithmetic number, because the mean of its divisors is an integer number (22976074520).

Almost surely, 21033132131332 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 1033132131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102851576960).

1033132131332 is an abundant number, since it is smaller than the sum of its proper divisors (1172571022588).

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

1033132131332 is a wasteful number, since it uses less digits than its factorization.

1033132131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163261 (or 163259 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1033132131332 its reverse (2331312313301), we get a palindrome (3364444444633).

The spelling of 1033132131332 in words is "one trillion, thirty-three billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 211 259 406 422 518 812 844 1036 1073 1477 2146 2954 4292 5908 6119 7511 7807 12238 15022 15614 24476 30044 31228 42833 54649 85666 109298 162973 171332 218596 226403 325946 452806 651892 905612 1140811 1584821 2281622 3169642 4563244 4726217 6030001 6339284 9452434 12060002 18904868 24120004 33083519 34387303 42210007 66167038 68774606 84420014 132334076 137549212 168840028 174870029 240711121 349740058 481422242 699480116 962844484 997231787 1224090203 1272330211 1994463574 2448180406 2544660422 3988927148 4896360812 5089320844 6980622509 8906311477 13961245018 17812622954 27922490036 35625245908 36897576119 73795152238 147590304476 258283032833 516566065666 1033132131332