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20100132330 = 23541472711283
BaseRepresentation
bin10010101110000011…
…111010110111101010
31220212210221111222120
4102232003322313222
5312131113213310
613122303332110
71311046206615
oct225603726752
956783844876
1020100132330
118585000a13
123a8b5b1036
131b84366735
14d8970d17c
157c9949b70
hex4ae0fadea

20100132330 has 128 divisors (see below), whose sum is σ = 50694045696. Its totient is φ = 5095180800.

The previous prime is 20100132317. The next prime is 20100132337. The reversal of 20100132330 is 3323100102.

It is a super-2 number, since 2×201001323302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20100132337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15665869 + ... + 15667151.

It is an arithmetic number, because the mean of its divisors is an integer number (396047232).

Almost surely, 220100132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347022848).

20100132330 is an abundant number, since it is smaller than the sum of its proper divisors (30593913366).

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

20100132330 is a wasteful number, since it uses less digits than its factorization.

20100132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20100132330 its reverse (3323100102), we get a palindrome (23423232432).

The spelling of 20100132330 in words is "twenty billion, one hundred million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 94 123 141 205 235 246 271 282 410 470 542 615 705 813 1230 1283 1355 1410 1626 1927 2566 2710 3849 3854 4065 5781 6415 7698 8130 9635 11111 11562 12737 12830 19245 19270 22222 25474 28905 33333 38211 38490 52603 55555 57810 60301 63685 66666 76422 105206 111110 120602 127370 157809 166665 180903 191055 263015 301505 315618 333330 347693 361806 382110 522217 526030 603010 695386 789045 904515 1043079 1044434 1566651 1578090 1738465 1809030 2086158 2472341 2611085 3133302 3476930 4944682 5215395 5222170 7417023 7833255 10430790 12361705 14255413 14834046 15666510 16341571 24723410 28510826 32683142 37085115 42766239 49024713 71277065 74170230 81707855 85532478 98049426 142554130 163415710 213831195 245123565 427662390 490247130 670004411 1340008822 2010013233 3350022055 4020026466 6700044110 10050066165 20100132330