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133020211220 = 225134755719543
BaseRepresentation
bin111101111100010011…
…1110101100000010100
3110201100101222212112122
41323320213311200110
54134411133224340
6141035244435112
712416236065611
oct1737047654024
9421311885478
10133020211220
1151460494566
1221944248a98
13c70b814670
14661c653508
1536d809adb5
hex1ef89f5814

133020211220 has 96 divisors (see below), whose sum is σ = 307798299648. Its totient is φ = 47981394432.

The previous prime is 133020211217. The next prime is 133020211223. The reversal of 133020211220 is 22112020331.

It is an interprime number because it is at equal distance from previous prime (133020211217) and next prime (133020211223).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020211223) 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, 6796769 + ... + 6816311.

It is an arithmetic number, because the mean of its divisors is an integer number (3206232288).

Almost surely, 2133020211220 is an apocalyptic number.

133020211220 is a gapful number since it is divisible by the number (10) 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 133020211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153899149824).

133020211220 is an abundant number, since it is smaller than the sum of its proper divisors (174778088428).

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

133020211220 is a wasteful number, since it uses less digits than its factorization.

133020211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20169 (or 20167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 133020211220 its reverse (22112020331), we get a palindrome (155132231551).

The spelling of 133020211220 in words is "one hundred thirty-three billion, twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 557 611 940 1114 1222 2228 2444 2785 3055 5570 6110 7241 11140 12220 14482 19543 26179 28964 36205 39086 52358 72410 78172 97715 104716 130895 144820 195430 254059 261790 340327 390860 508118 523580 680654 918521 1016236 1270295 1361308 1701635 1837042 2540590 3403270 3674084 4592605 5081180 6806540 9185210 10885451 11940773 18370420 21770902 23881546 43541804 47763092 54427255 59703865 108854510 119407730 141510863 217709020 238815460 283021726 511616197 566043452 707554315 1023232394 1415108630 2046464788 2558080985 2830217260 5116161970 6651010561 10232323940 13302021122 26604042244 33255052805 66510105610 133020211220