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30144103122 = 23724315115791
BaseRepresentation
bin11100000100101110…
…101000001011010010
32212210210110002200210
4130010232220023102
5443213342244442
621503100424550
72114666435400
oct340456501322
985723402623
1030144103122
1111869618921
125a13248156
132ac51aac13
14165d63a470
15bb65e119c
hex704ba82d2

30144103122 has 96 divisors (see below), whose sum is σ = 72241956864. Its totient is φ = 8356068000.

The previous prime is 30144103103. The next prime is 30144103141. The reversal of 30144103122 is 22130144103.

It is an interprime number because it is at equal distance from previous prime (30144103103) and next prime (30144103141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1901047 + ... + 1916837.

It is an arithmetic number, because the mean of its divisors is an integer number (752520384).

Almost surely, 230144103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30144103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36120978432).

30144103122 is an abundant number, since it is smaller than the sum of its proper divisors (42097853742).

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

30144103122 is a wasteful number, since it uses less digits than its factorization.

30144103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004 (or 15997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 30144103122 its reverse (22130144103), we get a palindrome (52274247225).

The spelling of 30144103122 in words is "thirty billion, one hundred forty-four million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 151 258 294 301 302 453 602 903 906 1057 1806 2107 2114 3171 4214 6321 6342 6493 7399 12642 12986 14798 15791 19479 22197 31582 38958 44394 45451 47373 90902 94746 110537 136353 221074 272706 318157 331611 636314 663222 679013 773759 954471 1358026 1547518 1908942 2037039 2321277 2384441 4074078 4642554 4753091 4768882 7153323 9506182 14259273 14306646 16691087 28518546 33271637 33382174 50073261 66543274 99814911 100146522 102530963 116837609 199629822 205061926 233675218 307592889 350512827 615185778 701025654 717716741 1435433482 2153150223 4306300446 5024017187 10048034374 15072051561 30144103122