Search a number
-
+
20133322032 = 24319173127607
BaseRepresentation
bin10010110000000010…
…100001110100110000
31220222010101201200210
4102300002201310300
5312213112301112
613125450544120
71311631261605
oct226002416460
956863351623
1020133322032
1185a180a91a
123a9a738040
131b8b1b7505
14d8dcac6ac
157cc803b3c
hex4b00a1d30

20133322032 has 80 divisors (see below), whose sum is σ = 55065404160. Its totient is φ = 6321090816.

The previous prime is 20133322009. The next prime is 20133322039. The reversal of 20133322032 is 23022333102.

It is not an unprimeable number, because it can be changed into a prime (20133322039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93973 + ... + 221579.

It is an arithmetic number, because the mean of its divisors is an integer number (688317552).

Almost surely, 220133322032 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 20133322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27532702080).

20133322032 is an abundant number, since it is smaller than the sum of its proper divisors (34932082128).

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

20133322032 is a wasteful number, since it uses less digits than its factorization.

20133322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127810 (or 127804 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20133322032 its reverse (23022333102), we get a palindrome (43155655134).

The spelling of 20133322032 in words is "twenty billion, one hundred thirty-three million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 173 228 304 346 456 519 692 912 1038 1384 2076 2768 3287 4152 6574 8304 9861 13148 19722 26296 39444 52592 78888 127607 157776 255214 382821 510428 765642 1020856 1531284 2041712 2424533 3062568 4849066 6125136 7273599 9698132 14547198 19396264 22076011 29094396 38792528 44152022 58188792 66228033 88304044 116377584 132456066 176608088 264912132 353216176 419444209 529824264 838888418 1059648528 1258332627 1677776836 2516665254 3355553672 5033330508 6711107344 10066661016 20133322032