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30164213430 = 2335132661061
BaseRepresentation
bin11100000101111011…
…010101111010110110
32212212012021210212000
4130011323111322312
5443234014312210
621505055440130
72115332404131
oct340573257266
985765253760
1030164213430
1111879a0400a
125a19b26046
132ac93cc600
141662193218
15bb8264ac0
hex705ed5eb6

30164213430 has 96 divisors (see below), whose sum is σ = 87101529120. Its totient is φ = 7425025920.

The previous prime is 30164213393. The next prime is 30164213437. The reversal of 30164213430 is 3431246103.

30164213430 is a `hidden beast` number, since 3 + 0 + 1 + 642 + 13 + 4 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30164213394 and 30164213403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30164213437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284901 + ... + 376160.

It is an arithmetic number, because the mean of its divisors is an integer number (907307595).

Almost surely, 230164213430 is an apocalyptic number.

30164213430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30164213430 is an abundant number, since it is smaller than the sum of its proper divisors (56937315690).

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

30164213430 is a wasteful number, since it uses less digits than its factorization.

30164213430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661103 (or 661084 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30164213430 its reverse (3431246103), we get a palindrome (33595459533).

The spelling of 30164213430 in words is "thirty billion, one hundred sixty-four million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 338 351 390 507 585 702 845 1014 1170 1521 1690 1755 2535 3042 3510 4563 5070 7605 9126 15210 22815 45630 661061 1322122 1983183 3305305 3966366 5949549 6610610 8593793 9915915 11899098 17187586 17848647 19831830 25781379 29747745 35697294 42968965 51562758 59495490 77344137 85937930 89243235 111719309 128906895 154688274 178486470 223438618 232032411 257813790 335157927 386720685 464064822 558596545 670315854 773441370 1005473781 1117193090 1160162055 1675789635 2010947562 2320324110 3016421343 3351579270 5027368905 6032842686 10054737810 15082106715 30164213430