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2130224220312 = 233373896166841
BaseRepresentation
bin11110111111111011010…
…000100000100010011000
321112122110222200200000220
4132333323100200202120
5234400144400022222
64310340030000040
7306621641053656
oct36777320404230
97478428620026
102130224220312
11751472045a61
122a4a27946020
13125b57a23536
1475163a43dd6
153a62a881b5c
hex1effb420898

2130224220312 has 64 divisors (see below), whose sum is σ = 5483555906400. Its totient is φ = 689107368960.

The previous prime is 2130224220193. The next prime is 2130224220367.

2130224220312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2737989 + ... + 3428852.

Almost surely, 22130224220312 is an apocalyptic number.

It is an amenable number.

2130224220312 is an abundant number, since it is smaller than the sum of its proper divisors (3353331686088).

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

2130224220312 is a wasteful number, since it uses less digits than its factorization.

2130224220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167276 (or 6167272 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2130224220312 in words is "two trillion, one hundred thirty billion, two hundred twenty-four million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 389 444 778 888 1167 1556 2334 3112 4668 9336 14393 28786 43179 57572 86358 115144 172716 345432 6166841 12333682 18500523 24667364 37001046 49334728 74002092 148004184 228173117 456346234 684519351 912692468 1369038702 1825384936 2398901149 2738077404 4797802298 5476154808 7196703447 9595604596 14393406894 19191209192 28786813788 57573627576 88759342513 177518685026 266278027539 355037370052 532556055078 710074740104 1065112110156 2130224220312