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2132033130 = 233519676203
BaseRepresentation
bin111111100010100…
…0011111001101010
312111120210111122000
41333011003321222
513331300030010
6551320511430
7103555661013
oct17705037152
95446714560
102132033130
119a4528057
124b601b576
1327c925386
1416322800a
15c72937c0
hex7f143e6a

2132033130 has 128 divisors (see below), whose sum is σ = 6074956800. Its totient is φ = 530494272.

The previous prime is 2132033083. The next prime is 2132033147. The reversal of 2132033130 is 313302312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340609 + ... + 346811.

It is an arithmetic number, because the mean of its divisors is an integer number (47460600).

Almost surely, 22132033130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037478400).

2132033130 is an abundant number, since it is smaller than the sum of its proper divisors (3942923670).

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

2132033130 is a wasteful number, since it uses less digits than its factorization.

2132033130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2132033130 is about 46173.9442759659. The cubic root of 2132033130 is about 1287.0575987175.

Adding to 2132033130 its reverse (313302312), we get a palindrome (2445335442).

The spelling of 2132033130 in words is "two billion, one hundred thirty-two million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 67 90 95 114 134 135 171 190 201 270 285 335 342 402 513 570 603 670 855 1005 1026 1206 1273 1710 1809 2010 2546 2565 3015 3618 3819 5130 6030 6203 6365 7638 9045 11457 12406 12730 18090 18609 19095 22914 31015 34371 37218 38190 55827 57285 62030 68742 93045 111654 114570 117857 167481 171855 186090 235714 279135 334962 343710 353571 415601 558270 589285 707142 831202 837405 1060713 1178570 1246803 1674810 1767855 2078005 2121426 2493606 3182139 3535710 3740409 4156010 5303565 6234015 6364278 7480818 7896419 10607130 11221227 12468030 15792838 15910695 18702045 22442454 23689257 31821390 37404090 39482095 47378514 56106135 71067771 78964190 112212270 118446285 142135542 213203313 236892570 355338855 426406626 710677710 1066016565 2132033130