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20120343320 = 23571110164679
BaseRepresentation
bin10010101111010001…
…000001001100011000
31220221012222100020202
4102233101001030120
5312201301441240
613124304441332
71311413045030
oct225721011430
956835870222
1020120343320
118595455810
123a96319248
131b885c1bbc
14d8c2908c0
157cb5dd315
hex4af441318

20120343320 has 128 divisors (see below), whose sum is σ = 57001190400. Its totient is φ = 6209088000.

The previous prime is 20120343281. The next prime is 20120343337. The reversal of 20120343320 is 2334302102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20120343292 and 20120343301.

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, 278741 + ... + 343419.

It is an arithmetic number, because the mean of its divisors is an integer number (445321800).

Almost surely, 220120343320 is an apocalyptic number.

20120343320 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 20120343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500595200).

20120343320 is an abundant number, since it is smaller than the sum of its proper divisors (36880847080).

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

20120343320 is a wasteful number, since it uses less digits than its factorization.

20120343320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64809 (or 64805 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20120343320 its reverse (2334302102), we get a palindrome (22454645422).

The spelling of 20120343320 in words is "twenty billion, one hundred twenty million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4444 5555 5656 7070 7777 8888 11110 14140 15554 22220 28280 31108 38885 44440 62216 64679 77770 129358 155540 258716 311080 323395 452753 517432 646790 711469 905506 1293580 1422938 1811012 2263765 2587160 2845876 3557345 3622024 4527530 4980283 5691752 6532579 7114690 9055060 9960566 13065158 14229380 18110120 19921132 24901415 26130316 28458760 32662895 39842264 45728053 49802830 52260632 65325790 71858369 91456106 99605660 130651580 143716738 182912212 199211320 228640265 261303160 287433476 359291845 365824424 457280530 503008583 574866952 718583690 914561060 1006017166 1437167380 1829122120 2012034332 2515042915 2874334760 4024068664 5030085830 10060171660 20120343320