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30413222100 = 223252191778551
BaseRepresentation
bin11100010100110001…
…001111000011010100
32220111112211202112100
4130110301033003110
5444241241101400
621545512522100
72124445060002
oct342461170324
986445752470
1030413222100
111199751a9a8
125a893b0330
132b38b85a11
141687291a72
15bd0050100
hex714c4f0d4

30413222100 has 108 divisors (see below), whose sum is σ = 100345903840. Its totient is φ = 7683336000.

The previous prime is 30413222093. The next prime is 30413222141. The reversal of 30413222100 is 122231403.

30413222100 is a `hidden beast` number, since 30 + 413 + 2 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 872176 + ... + 906375.

Almost surely, 230413222100 is an apocalyptic number.

30413222100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30413222100 is an abundant number, since it is smaller than the sum of its proper divisors (69932681740).

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

30413222100 is a wasteful number, since it uses less digits than its factorization.

30413222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778590 (or 1778580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30413222100 its reverse (122231403), we get a palindrome (30535453503).

The spelling of 30413222100 in words is "thirty billion, four hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 1778551 3557102 5335653 7114204 8892755 10671306 16006959 17785510 21342612 26678265 32013918 33792469 35571020 44463775 53356530 64027836 67584938 80034795 88927550 101377407 106713060 133391325 135169876 160069590 168962345 177855100 202754814 266782650 304132221 320139180 337924690 400173975 405509628 506887035 533565300 608264442 675849380 800347950 844811725 1013774070 1216528884 1520661105 1600695900 1689623450 2027548140 2534435175 3041322210 3379246900 5068870350 6082644420 7603305525 10137740700 15206611050 30413222100