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100441430330 = 25192333169439
BaseRepresentation
bin101110110001011000…
…1101001100100111010
3100121020221021022211012
41131202301221210322
53121201001232310
6114050412233522
710154014033253
oct1354261514472
9317227238735
10100441430330
113966262925a
121757176b8a2
1396190c8917
144c0b92bb2a
15292cd83c05
hex1762c6993a

100441430330 has 64 divisors (see below), whose sum is σ = 199187251200. Its totient is φ = 36296631360.

The previous prime is 100441430329. The next prime is 100441430339. The reversal of 100441430330 is 33034144001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 100441430296 and 100441430305.

It is not an unprimeable number, because it can be changed into a prime (100441430339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411751 + ... + 1481189.

It is an arithmetic number, because the mean of its divisors is an integer number (3112300800).

Almost surely, 2100441430330 is an apocalyptic number.

100441430330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100441430330 is a deficient number, since it is larger than the sum of its proper divisors (98745820870).

100441430330 is a wasteful number, since it uses less digits than its factorization.

100441430330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69819.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 100441430330 its reverse (33034144001), we get a palindrome (133475574331).

The spelling of 100441430330 in words is "one hundred billion, four hundred forty-one million, four hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 10 19 23 38 46 95 115 190 230 331 437 662 874 1655 2185 3310 4370 6289 7613 12578 15226 31445 38065 62890 69439 76130 138878 144647 289294 347195 694390 723235 1319341 1446470 1597097 2638682 3194194 6596705 7985485 13193410 15970970 22984309 30344843 45968618 60689686 114921545 151724215 229843090 303448430 436701871 528639107 873403742 1057278214 2183509355 2643195535 4367018710 5286391070 10044143033 20088286066 50220715165 100441430330