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2013221101220 = 2257172113440339
BaseRepresentation
bin11101010010111101010…
…101000001111010100100
321010110110211200101021122
4131102331111001322210
5230441034100214340
64140505551033112
7265310332003460
oct35227525017244
97113424611248
102013221101220
1170689091091a
1228621380b798
13117acc69aaa4
146d6247314a0
153757da55db5
hex1d4bd541ea4

2013221101220 has 144 divisors (see below), whose sum is σ = 5178102491520. Its totient is φ = 643893927936.

The previous prime is 2013221101217. The next prime is 2013221101231. The reversal of 2013221101220 is 221011223102.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 4351811 + ... + 4792149.

It is an arithmetic number, because the mean of its divisors is an integer number (35959045080).

Almost surely, 22013221101220 is an apocalyptic number.

2013221101220 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 2013221101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589051245760).

2013221101220 is an abundant number, since it is smaller than the sum of its proper divisors (3164881390300).

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

2013221101220 is a wasteful number, since it uses less digits than its factorization.

2013221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440502 (or 440483 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2013221101220 its reverse (221011223102), we get a palindrome (2234232324322).

The spelling of 2013221101220 in words is "two trillion, thirteen billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 113 119 140 170 226 238 289 340 452 476 565 578 595 791 1130 1156 1190 1445 1582 1921 2023 2260 2380 2890 3164 3842 3955 4046 5780 7684 7910 8092 9605 10115 13447 15820 19210 20230 26894 32657 38420 40460 53788 65314 67235 130628 134470 163285 228599 268940 326570 440339 457198 653140 880678 914396 1142995 1761356 2201695 2285990 3082373 4403390 4571980 6164746 7485763 8806780 12329492 14971526 15411865 29943052 30823730 37428815 49758307 52400341 61647460 74857630 99516614 104800682 127257971 149715260 199033228 209601364 248791535 254515942 262001705 348308149 497583070 509031884 524003410 636289855 696616298 845891219 890805797 995166140 1048006820 1272579710 1393232596 1691782438 1741540745 1781611594 2545159420 3383564876 3483081490 3563223188 4229456095 4454028985 5921238533 6966162980 8458912190 8908057970 11842477066 14380150723 16917824380 17816115940 23684954132 28760301446 29606192665 57520602892 59212385330 71900753615 100661055061 118424770660 143801507230 201322110122 287603014460 402644220244 503305275305 1006610550610 2013221101220