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221130010320 = 24357699071321
BaseRepresentation
bin1100110111110001100…
…0000010111011010000
3210010202221010102111020
43031330120002323100
512110333240312240
6245330303315440
721655544034432
oct3157430027320
9703687112436
10221130010320
118586514274a
1236a33babb80
1317b10b5436b
14a9ba4b8652
155b435030d0
hex337c602ed0

221130010320 has 160 divisors (see below), whose sum is σ = 687671402880. Its totient is φ = 58781859840.

The previous prime is 221130010303. The next prime is 221130010333. The reversal of 221130010320 is 23010031122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221130010320.

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, 167395260 + ... + 167396580.

It is an arithmetic number, because the mean of its divisors is an integer number (4297946268).

Almost surely, 2221130010320 is an apocalyptic number.

221130010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221130010320 is an abundant number, since it is smaller than the sum of its proper divisors (466541392560).

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

221130010320 is a wasteful number, since it uses less digits than its factorization.

221130010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221130010320 its reverse (23010031122), we get a palindrome (244140041442).

The spelling of 221130010320 in words is "two hundred twenty-one billion, one hundred thirty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 769 907 1321 1538 1814 2307 2642 2721 3076 3628 3845 3963 4535 4614 5284 5442 6152 6605 7256 7690 7926 9070 9228 10568 10884 11535 12304 13210 13605 14512 15380 15852 18140 18456 19815 21136 21768 23070 26420 27210 30760 31704 36280 36912 39630 43536 46140 52840 54420 61520 63408 72560 79260 92280 105680 108840 158520 184560 217680 317040 697483 1015849 1198147 1394966 2031698 2092449 2396294 2789932 3047547 3487415 3594441 4063396 4184898 4792588 5079245 5579864 5990735 6095094 6974830 7188882 8126792 8369796 9585176 10158490 10462245 11159728 11981470 12190188 13949660 14377764 15237735 16253584 16739592 17972205 19170352 20316980 20924490 23962940 24380376 27899320 28755528 30475470 33479184 35944410 40633960 41848980 47925880 48760752 55798640 57511056 60950940 71888820 81267920 83697960 95851760 121901880 143777640 167395920 243803760 287555280 921375043 1842750086 2764125129 3685500172 4606875215 5528250258 7371000344 9213750430 11056500516 13820625645 14742000688 18427500860 22113001032 27641251290 36855001720 44226002064 55282502580 73710003440 110565005160 221130010320