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30103313220 = 223253137145807
BaseRepresentation
bin11100000010010011…
…000001101101000100
32212200221200202110200
4130002103001231010
5443122422010340
621455042250500
72113662640401
oct340223015504
985627622420
1030103313220
1111848598862
125a01656a30
132ab98c8996
14165805d2a8
15bb2c35330
hex7024c1b44

30103313220 has 144 divisors (see below), whose sum is σ = 96807180288. Its totient is φ = 7558583040.

The previous prime is 30103313203. The next prime is 30103313237. The reversal of 30103313220 is 2231330103.

30103313220 is a `hidden beast` number, since 3 + 0 + 10 + 331 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30103313203) and next prime (30103313237).

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

It is a junction number, because it is equal to n+sod(n) for n = 30103313193 and 30103313202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133557 + ... + 279363.

Almost surely, 230103313220 is an apocalyptic number.

30103313220 is a gapful number since it is divisible by the number (30) 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 30103313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48403590144).

30103313220 is an abundant number, since it is smaller than the sum of its proper divisors (66703867068).

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

30103313220 is a wasteful number, since it uses less digits than its factorization.

30103313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145890 (or 145885 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30103313220 its reverse (2231330103), we get a palindrome (32334643323).

The spelling of 30103313220 in words is "thirty billion, one hundred three million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 148 155 180 185 186 222 279 310 333 370 372 444 465 555 558 620 666 740 930 1110 1116 1147 1332 1395 1665 1860 2220 2294 2790 3330 3441 4588 5580 5735 6660 6882 10323 11470 13764 17205 20646 22940 34410 41292 51615 68820 103230 145807 206460 291614 437421 583228 729035 874842 1312263 1458070 1749684 2187105 2624526 2916140 4374210 4520017 5249052 5394859 6561315 8748420 9040034 10789718 13122630 13560051 16184577 18080068 21579436 22600085 26245260 26974295 27120102 32369154 40680153 45200170 48553731 53948590 54240204 64738308 67800255 80922885 81360306 90400340 97107462 107897180 135600510 161845770 162720612 167240629 194214924 203400765 242768655 271201020 323691540 334481258 406801530 485537310 501721887 668962516 813603060 836203145 971074620 1003443774 1505165661 1672406290 2006887548 2508609435 3010331322 3344812580 5017218870 6020662644 7525828305 10034437740 15051656610 30103313220