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1301123212004 = 2271179113473219
BaseRepresentation
bin10010111011110000111…
…111001010001011100100
311121101102111212112102202
4102323300333022023210
5132304200020241004
62433421105554032
7163001021552060
oct22736077121344
94541374775382
101301123212004
11461892150a80
121901bb645918
1395906a14525
1446d9080aaa0
1523ca2843b1e
hex12ef0fca2e4

1301123212004 has 96 divisors (see below), whose sum is σ = 2900195020800. Its totient is φ = 496083893760.

The previous prime is 1301123212003. The next prime is 1301123212031. The reversal of 1301123212004 is 4002123211031.

It is a super-2 number, since 2×13011232120042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1301123212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512907 + ... + 2986125.

It is an arithmetic number, because the mean of its divisors is an integer number (30210364800).

Almost surely, 21301123212004 is an apocalyptic number.

1301123212004 is a gapful number since it is divisible by the number (14) 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 1301123212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450097510400).

1301123212004 is an abundant number, since it is smaller than the sum of its proper divisors (1599071808796).

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

1301123212004 is a wasteful number, since it uses less digits than its factorization.

1301123212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473433 (or 473431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1301123212004 its reverse (4002123211031), we get a palindrome (5303246423035).

The spelling of 1301123212004 in words is "one trillion, three hundred one billion, one hundred twenty-three million, two hundred twelve thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 113 154 158 226 308 316 452 553 791 869 1106 1243 1582 1738 2212 2486 3164 3476 4972 6083 8701 8927 12166 17402 17854 24332 34804 35708 62489 98197 124978 196394 249956 392788 473219 687379 946438 1374758 1892876 2749516 3312533 5205409 6625066 10410818 13250132 20821636 36437863 37384301 53473747 72875726 74768602 106947494 145751452 149537204 213894988 261690107 374316229 411227311 523380214 588211217 748632458 822454622 1046760428 1176422434 1497264916 1644909244 2352844868 2878591177 4117478519 4224426013 5757182354 8234957038 8448852026 11514364708 16469914076 16897704052 29570982091 46468686143 59141964182 92937372286 118283928364 185874744572 325280803001 650561606002 1301123212004