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223130001013320 = 233510917058868579
BaseRepresentation
bin110010101110111110000000…
…011100101111101001001000
31002021001000112102012120022110
4302232332000130233221020
5213221230220224411240
62110320301332022320
764666416301101252
oct6256760034575110
91067030472176273
10223130001013320
11651069a1648545
1221038109a619a0
1397670b824061b
143d1579a428cd2
151abe1cb62cc80
hexcaef8072fa48

223130001013320 has 64 divisors (see below), whose sum is σ = 675531195768000. Its totient is φ = 58955449805568.

The previous prime is 223130001013261. The next prime is 223130001013357. The reversal of 223130001013320 is 23310100031322.

223130001013320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231300010133203 (a number of 44 digits) contains 333 as substring.

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, 8529421210 + ... + 8529447369.

It is an arithmetic number, because the mean of its divisors is an integer number (10555174933875).

Almost surely, 2223130001013320 is an apocalyptic number.

223130001013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223130001013320 is an abundant number, since it is smaller than the sum of its proper divisors (452401194754680).

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

223130001013320 is a wasteful number, since it uses less digits than its factorization.

223130001013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17058868702 (or 17058868698 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 223130001013320 its reverse (23310100031322), we get a palindrome (246440101044642).

The spelling of 223130001013320 in words is "two hundred twenty-three trillion, one hundred thirty billion, one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 17058868579 34117737158 51176605737 68235474316 85294342895 102353211474 136470948632 170588685790 204706422948 255883028685 341177371580 409412845896 511766057370 682354743160 1023532114740 1859416675111 2047064229480 3718833350222 5578250025333 7437666700444 9297083375555 11156500050666 14875333400888 18594166751110 22313000101332 27891250126665 37188333502220 44626000202664 55782500253330 74376667004440 111565000506660 223130001013320