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100441430340 = 22353154000769
BaseRepresentation
bin101110110001011000…
…1101001100101000100
3100121020221021022211120
41131202301221211010
53121201001232330
6114050412233540
710154014033266
oct1354261514504
9317227238746
10100441430340
1139662629269
121757176b8b0
1396190c8924
144c0b92bb36
15292cd83c10
hex1762c69944

100441430340 has 48 divisors (see below), whose sum is σ = 290308139520. Its totient is φ = 25920368640.

The previous prime is 100441430339. The next prime is 100441430363. The reversal of 100441430340 is 43034144001.

It is a self number, because there is not a number n which added to its sum of digits gives 100441430340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26998525 + ... + 27002244.

It is an arithmetic number, because the mean of its divisors is an integer number (6048086240).

Almost surely, 2100441430340 is an apocalyptic number.

100441430340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441430340 is an abundant number, since it is smaller than the sum of its proper divisors (189866709180).

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

100441430340 is a wasteful number, since it uses less digits than its factorization.

100441430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54000812 (or 54000810 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100441430340 its reverse (43034144001), we get a palindrome (143475574341).

The spelling of 100441430340 in words is "one hundred billion, four hundred forty-one million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 54000769 108001538 162002307 216003076 270003845 324004614 540007690 648009228 810011535 1080015380 1620023070 1674023839 3240046140 3348047678 5022071517 6696095356 8370119195 10044143034 16740238390 20088286068 25110357585 33480476780 50220715170 100441430340