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3012310220420 = 22519383128916057
BaseRepresentation
bin101011110101011011101…
…011100011111010000100
3101122222022002010021012202
4223311123223203322010
5343323202404023140
610223500342134032
7430426566255404
oct53653353437204
911588262107182
103012310220420
11a61571652566
12407980721318
1318b0a10304b7
14a5b21bc8804
1553555341915
hex2bd5bae3e84

3012310220420 has 96 divisors (see below), whose sum is σ = 6681772339200. Its totient is φ = 1137572481024.

The previous prime is 3012310220407. The next prime is 3012310220461. The reversal of 3012310220420 is 240220132103.

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 = 3012310220392 and 3012310220401.

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, 187593032 + ... + 187609088.

It is an arithmetic number, because the mean of its divisors is an integer number (69601795200).

Almost surely, 23012310220420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012310220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340886169600).

3012310220420 is an abundant number, since it is smaller than the sum of its proper divisors (3669462118780).

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

3012310220420 is a wasteful number, since it uses less digits than its factorization.

3012310220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17757 (or 17755 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3012310220420 its reverse (240220132103), we get a palindrome (3252530352523).

The spelling of 3012310220420 in words is "three trillion, twelve billion, three hundred ten million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 383 766 1289 1532 1915 2578 3830 5156 6445 7277 7660 12890 14554 16057 24491 25780 29108 32114 36385 48982 64228 72770 80285 97964 122455 145540 160570 244910 305083 321140 489820 493687 610166 987374 1220332 1525415 1974748 2468435 3050830 4936870 6101660 6149831 9380053 9873740 12299662 18760106 20697473 24599324 30749155 37520212 41394946 46900265 61498310 82789892 93800530 103487365 116846789 122996620 187601060 206974730 233693578 393251987 413949460 467387156 584233945 786503974 1168467890 1573007948 1966259935 2336935780 3932519870 7865039740 7927132159 15854264318 31708528636 39635660795 79271321590 150615511021 158542643180 301231022042 602462044084 753077555105 1506155110210 3012310220420