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1023000132 = 2237116831621
BaseRepresentation
bin111100111110011…
…011111001000100
32122021221210100210
4330332123321010
54043342001012
6245302235420
734231233450
oct7476337104
92567853323
101023000132
11485503160
12246725b70
13133c3102b
1499c17660
155ec2623c
hex3cf9be44

1023000132 has 96 divisors (see below), whose sum is σ = 2982196224. Its totient is φ = 265161600.

The previous prime is 1023000131. The next prime is 1023000133. The reversal of 1023000132 is 2310003201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1023000131) and next prime (1023000133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1023000131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630282 + ... + 631902.

It is an arithmetic number, because the mean of its divisors is an integer number (31064544).

Almost surely, 21023000132 is an apocalyptic number.

1023000132 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 1023000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491098112).

1023000132 is an abundant number, since it is smaller than the sum of its proper divisors (1959196092).

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

1023000132 is a wasteful number, since it uses less digits than its factorization.

1023000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1023000132 is about 31984.3732469467. The cubic root of 1023000132 is about 1007.6086719510.

Adding to 1023000132 its reverse (2310003201), we get a palindrome (3333003333).

The spelling of 1023000132 in words is "one billion, twenty-three million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 683 924 1366 1621 2049 2732 3242 4098 4781 4863 6484 7513 8196 9562 9726 11347 14343 15026 17831 19124 19452 22539 22694 28686 30052 34041 35662 45078 45388 52591 53493 57372 68082 71324 90156 105182 106986 124817 136164 157773 210364 213972 249634 315546 374451 499268 631092 748902 1107143 1497804 2214286 3321429 4428572 6642858 7750001 12178573 13285716 15500002 23250003 24357146 31000004 36535719 46500006 48714292 73071438 85250011 93000012 146142876 170500022 255750033 341000044 511500066 1023000132