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100030434432 = 27312719110739
BaseRepresentation
bin101110100101001000…
…1110100110010000000
3100120012021220120102220
41131022101310302000
53114330242400212
6113541531211040
710140563443425
oct1351221646200
9316167816386
10100030434432
1139471632a25
1217477ba6a80
139581c07396
144bad103d4c
152906c4c38c
hex174a474c80

100030434432 has 128 divisors (see below), whose sum is σ = 269225164800. Its totient is φ = 32904668160.

The previous prime is 100030434421. The next prime is 100030434443. The reversal of 100030434432 is 234434030001.

It is an interprime number because it is at equal distance from previous prime (100030434421) and next prime (100030434443).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9309319 + ... + 9320057.

It is an arithmetic number, because the mean of its divisors is an integer number (2103321600).

Almost surely, 2100030434432 is an apocalyptic number.

100030434432 is a gapful number since it is divisible by the number (12) 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 100030434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134612582400).

100030434432 is an abundant number, since it is smaller than the sum of its proper divisors (169194730368).

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

100030434432 is a wasteful number, since it uses less digits than its factorization.

100030434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074 (or 11062 counting only the distinct ones).

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

Adding to 100030434432 its reverse (234434030001), we get a palindrome (334464464433).

The spelling of 100030434432 in words is "one hundred billion, thirty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 191 192 254 381 382 384 508 573 762 764 1016 1146 1524 1528 2032 2292 3048 3056 4064 4584 6096 6112 8128 9168 10739 12192 12224 16256 18336 21478 24257 24384 24448 32217 36672 42956 48514 48768 64434 72771 73344 85912 97028 128868 145542 171824 194056 257736 291084 343648 388112 515472 582168 687296 776224 1030944 1164336 1363853 1374592 1552448 2051149 2061888 2328672 2727706 3104896 4091559 4102298 4123776 4657344 5455412 6153447 8183118 8204596 9314688 10910824 12306894 16366236 16409192 21821648 24613788 32732472 32818384 43643296 49227576 65464944 65636768 87286592 98455152 130929888 131273536 174573184 196910304 260495923 261859776 262547072 393820608 520991846 523719552 781487769 787641216 1041983692 1562975538 2083967384 3125951076 4167934768 6251902152 8335869536 12503804304 16671739072 25007608608 33343478144 50015217216 100030434432