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132211021200 = 24352195798729
BaseRepresentation
bin111101100100001100…
…1000001010110010000
3110122021000100202111220
41323020121001112100
54131232010134300
6140423101005040
712360212065206
oct1731031012620
9418230322456
10132211021200
1151085747085
1221759253780
13c60cc947bb
146582db5076
15368c00ada0
hex1ec8641590

132211021200 has 120 divisors (see below), whose sum is σ = 445806362400. Its totient is φ = 33400673280.

The previous prime is 132211021193. The next prime is 132211021207. The reversal of 132211021200 is 2120112231.

It is an interprime number because it is at equal distance from previous prime (132211021193) and next prime (132211021207).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 132211021200.

It is not an unprimeable number, because it can be changed into a prime (132211021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2876565 + ... + 2922164.

It is an arithmetic number, because the mean of its divisors is an integer number (3715053020).

Almost surely, 2132211021200 is an apocalyptic number.

132211021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132211021200 is an abundant number, since it is smaller than the sum of its proper divisors (313595341200).

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

132211021200 is a wasteful number, since it uses less digits than its factorization.

132211021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798769 (or 5798758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132211021200 its reverse (2120112231), we get a palindrome (134331133431).

The spelling of 132211021200 in words is "one hundred thirty-two billion, two hundred eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 5798729 11597458 17396187 23194916 28993645 34792374 46389832 57987290 69584748 86980935 92779664 110175851 115974580 139169496 144968225 173961870 220351702 231949160 278338992 289936450 330527553 347923740 434904675 440703404 463898320 550879255 579872900 661055106 695847480 869809350 881406808 1101758510 1159745800 1322110212 1391694960 1652637765 1739618700 1762813616 2203517020 2319491600 2644220424 2754396275 3305275530 3479237400 4407034040 5288440848 5508792550 6610551060 6958474800 8263188825 8814068080 11017585100 13221102120 16526377650 22035170200 26442204240 33052755300 44070340400 66105510600 132211021200