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223213121001300 = 223521428715207801
BaseRepresentation
bin110010110000001011011010…
…110010010101011101010100
31002021022222002012010110012210
4302300023122302111131110
5213224110432434020200
62110422405301513420
765005421136246603
oct6260133262253524
91067288065113183
10223213121001300
1165139175718791
1221050246712870
139771ba387b271
143d198036c1a3a
151ac1443992650
hexcb02dac95754

223213121001300 has 72 divisors (see below), whose sum is σ = 645834607814592. Its totient is φ = 59523070880000.

The previous prime is 223213121001281. The next prime is 223213121001313. The reversal of 223213121001300 is 3100121312322.

It is a super-3 number, since 3×2232131210013003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40257400 + ... + 45465200.

It is an arithmetic number, because the mean of its divisors is an integer number (8969925108536).

Almost surely, 2223213121001300 is an apocalyptic number.

223213121001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223213121001300 is an abundant number, since it is smaller than the sum of its proper divisors (422621486813292).

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

223213121001300 is a wasteful number, since it uses less digits than its factorization.

223213121001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350689 (or 5350682 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 223213121001300 its reverse (3100121312322), we get a palindrome (226313242313622).

The spelling of 223213121001300 in words is "two hundred twenty-three trillion, two hundred thirteen billion, one hundred twenty-one million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 142871 285742 428613 571484 714355 857226 1428710 1714452 2143065 2857420 3571775 4286130 5207801 7143550 8572260 10415602 10715325 14287100 15623403 20831204 21430650 26039005 31246806 42861300 52078010 62493612 78117015 104156020 130195025 156234030 260390050 312468060 390585075 520780100 781170150 1562340300 744043736671 1488087473342 2232131210013 2976174946684 3720218683355 4464262420026 7440437366710 8928524840052 11160656050065 14880874733420 18601093416775 22321312100130 37202186833550 44642624200260 55803280250325 74404373667100 111606560500650 223213121001300