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30003010222032 = 24331911021356141
BaseRepresentation
bin1101101001001100111101…
…10001000011011111010000
310221020021000100221212211000
412310212132301003133100
512413032131104101112
6143451105334422000
76214434364014561
oct664463661033720
9127207010855730
1030003010222032
119618229103461
12344694b501900
13139836bc92413
1475a221094168
153706a91db7dc
hex1b499ec437d0

30003010222032 has 160 divisors (see below), whose sum is σ = 86655673681920. Its totient is φ = 9938870208000.

The previous prime is 30003010221967. The next prime is 30003010222091. The reversal of 30003010222032 is 23022201030003.

It is a happy number.

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 = 30003010221996 and 30003010222014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84066682 + ... + 84422822.

It is an arithmetic number, because the mean of its divisors is an integer number (541597960512).

Almost surely, 230003010222032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003010222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43327836840960).

30003010222032 is an abundant number, since it is smaller than the sum of its proper divisors (56652663459888).

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

30003010222032 is a wasteful number, since it uses less digits than its factorization.

30003010222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357370 (or 357358 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30003010222032 its reverse (23022201030003), we get a palindrome (53025211252035).

The spelling of 30003010222032 in words is "thirty trillion, three billion, ten million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 191 216 382 432 573 764 1021 1146 1528 1719 2042 2292 3056 3063 3438 4084 4584 5157 6126 6876 8168 9168 9189 10314 12252 13752 16336 18378 20628 24504 27504 27567 36756 41256 49008 55134 73512 82512 110268 147024 195011 220536 356141 390022 441072 585033 712282 780044 1068423 1170066 1424564 1560088 1755099 2136846 2340132 2849128 3120176 3205269 3510198 4273692 4680264 5265297 5698256 6410538 7020396 8547384 9360528 9615807 10530594 12821076 14040792 17094768 19231614 21061188 25642152 28081584 38463228 42122376 51284304 68022931 76926456 84244752 136045862 153852912 204068793 272091724 363619961 408137586 544183448 612206379 727239922 816275172 1088366896 1090859883 1224412758 1454479844 1632550344 1836619137 2181719766 2448825516 2908959688 3265100688 3272579649 3673238274 4363439532 4897651032 5817919376 6545159298 7346476548 8726879064 9795302064 9817738947 13090318596 14692953096 17453758128 19635477894 26180637192 29385906192 39270955788 52361274384 69451412551 78541911576 138902825102 157083823152 208354237653 277805650204 416708475306 555611300408 625062712959 833416950612 1111222600816 1250125425918 1666833901224 1875188138877 2500250851836 3333667802448 3750376277754 5000501703672 7500752555508 10001003407344 15001505111016 30003010222032