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220311020100 = 223523153446969
BaseRepresentation
bin1100110100101110001…
…1110110001001000100
3210001122212001102010010
43031023203312021010
512102144110120400
6245113125430220
721626340526023
oct3151343661104
9701585042103
10220311020100
1185484911226
123684586b370
1317a10282872
14a93d8088ba
155ae6679450
hex334b8f6244

220311020100 has 144 divisors (see below), whose sum is σ = 670412090880. Its totient is φ = 55781606400.

The previous prime is 220311020089. The next prime is 220311020113. The reversal of 220311020100 is 1020113022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269416 + ... + 716384.

It is an arithmetic number, because the mean of its divisors is an integer number (4655639520).

Almost surely, 2220311020100 is an apocalyptic number.

220311020100 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 220311020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335206045440).

220311020100 is an abundant number, since it is smaller than the sum of its proper divisors (450101070780).

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

220311020100 is a wasteful number, since it uses less digits than its factorization.

220311020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447070 (or 447063 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 220311020100 its reverse (1020113022), we get a palindrome (221331133122).

The spelling of 220311020100 in words is "two hundred twenty billion, three hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 53 60 62 75 93 100 106 124 150 155 159 186 212 265 300 310 318 372 465 530 620 636 775 795 930 1060 1325 1550 1590 1643 1860 2325 2650 3100 3180 3286 3975 4650 4929 5300 6572 7950 8215 9300 9858 15900 16430 19716 24645 32860 41075 49290 82150 98580 123225 164300 246450 446969 492900 893938 1340907 1787876 2234845 2681814 4469690 5363628 6704535 8939380 11174225 13409070 13856039 22348450 23689357 26818140 27712078 33522675 41568117 44696900 47378714 55424156 67045350 69280195 71068071 83136234 94757428 118446785 134090700 138560390 142136142 166272468 207840585 236893570 277120780 284272284 346400975 355340355 415681170 473787140 592233925 692801950 710680710 734370067 831362340 1039202925 1184467850 1385603900 1421361420 1468740134 1776701775 2078405850 2203110201 2368935700 2937480268 3553403550 3671850335 4156811700 4406220402 7106807100 7343700670 8812440804 11015551005 14687401340 18359251675 22031102010 36718503350 44062204020 55077755025 73437006700 110155510050 220311020100