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30442334010 = 23511177017741
BaseRepresentation
bin11100010110100000…
…010010011100111010
32220120120121210120020
4130112200102130322
5444321214142020
621552432511310
72125250366244
oct342640223472
986516553506
1030442334010
1111a019a4130
125a970ab536
132b41c096ba
14168b0ad094
15bd28a0c40
hex71681273a

30442334010 has 128 divisors (see below), whose sum is σ = 84523315968. Its totient is φ = 6935040000.

The previous prime is 30442334009. The next prime is 30442334063. The reversal of 30442334010 is 1043324403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3928740 + ... + 3936480.

It is an arithmetic number, because the mean of its divisors is an integer number (660338406).

Almost surely, 230442334010 is an apocalyptic number.

30442334010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30442334010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42261657984).

30442334010 is an abundant number, since it is smaller than the sum of its proper divisors (54080981958).

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

30442334010 is a wasteful number, since it uses less digits than its factorization.

30442334010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30442334010 its reverse (1043324403), we get a palindrome (31485658413).

The spelling of 30442334010 in words is "thirty billion, four hundred forty-two million, three hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 701 935 1122 1402 1870 2103 2805 3505 4206 5610 7010 7711 7741 10515 11917 15422 15482 21030 23133 23223 23834 35751 38555 38705 46266 46446 59585 71502 77110 77410 85151 115665 116115 119170 131087 131597 170302 178755 231330 232230 255453 262174 263194 357510 393261 394791 425755 510906 655435 657985 786522 789582 851510 1277265 1310870 1315970 1447567 1966305 1973955 2554530 2895134 3932610 3947910 4342701 5426441 7237835 8685402 10852882 14475670 16279323 21713505 27132205 32558646 43427010 54264410 59690851 81396615 92249497 119381702 162793230 179072553 184498994 276748491 298454255 358145106 461247485 553496982 596908510 895362765 922494970 1014744467 1383742455 1790725530 2029488934 2767484910 3044233401 5073722335 6088466802 10147444670 15221167005 30442334010