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20133220232120 = 2356722946171161
BaseRepresentation
bin1001001001111101000010…
…11100001010101110111000
32122021201100201211111021212
410210332201130022232320
510114330313334411440
6110453023530022252
74145401652223032
oct444764134125670
978251321744255
1020133220232120
1164624a5a49226
122311b52877988
13b3072938c058
144d864b29ac52
1524daa0792465
hex124fa170abb8

20133220232120 has 128 divisors (see below), whose sum is σ = 46277445614400. Its totient is φ = 7881203404800.

The previous prime is 20133220232119. The next prime is 20133220232159. The reversal of 20133220232120 is 2123202233102.

It is a super-2 number, since 2×201332202321202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282889340 + ... + 282960500.

Almost surely, 220133220232120 is an apocalyptic number.

20133220232120 is a gapful number since it is divisible by the number (20) 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 20133220232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23138722807200).

20133220232120 is an abundant number, since it is smaller than the sum of its proper divisors (26144225382280).

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

20133220232120 is a wasteful number, since it uses less digits than its factorization.

20133220232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71929 (or 71925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20133220232120 its reverse (2123202233102), we get a palindrome (22256422465222).

The spelling of 20133220232120 in words is "twenty trillion, one hundred thirty-three billion, two hundred twenty million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 229 268 335 458 461 536 670 916 922 1145 1340 1832 1844 2290 2305 2680 3688 4580 4610 9160 9220 15343 18440 30686 30887 61372 61774 71161 76715 105569 122744 123548 142322 153430 154435 211138 247096 284644 306860 308870 355805 422276 527845 569288 613720 617740 711610 844552 1055690 1235480 1423220 2111380 2846440 4222760 4767787 7073123 9535574 14146246 16295869 19071148 23838935 28292492 32591738 32805221 35365615 38142296 47677870 56584984 65183476 65610442 70731230 81479345 95355740 130366952 131220884 141462460 162958690 164026105 190711480 262441768 282924920 325917380 328052210 651834760 656104420 1091823223 1312208840 2183646446 2197949807 4367292892 4395899614 5459116115 7512395609 8734585784 8791799228 10918232230 10989749035 15024791218 17583598456 21836464460 21979498070 30049582436 37561978045 43672928920 43958996140 60099164872 75123956090 87917992280 150247912180 300495824360 503330505803 1006661011606 2013322023212 2516652529015 4026644046424 5033305058030 10066610116060 20133220232120