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100341043404 = 22372378095701
BaseRepresentation
bin101110101110011001…
…0101101000011001100
3100120222221101010211220
41131130302231003030
53120444301342104
6114032424443340
710151354540100
oct1353462550314
9316887333756
10100341043404
11396109a3058
1217544019550
13960137ac84
144bdc479900
1529241547d9
hex175ccad0cc

100341043404 has 144 divisors (see below), whose sum is σ = 280110065760. Its totient is φ = 27854668800.

The previous prime is 100341043351. The next prime is 100341043433. The reversal of 100341043404 is 404340143001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17597754 + ... + 17603454.

It is an arithmetic number, because the mean of its divisors is an integer number (1945208790).

Almost surely, 2100341043404 is an apocalyptic number.

100341043404 is a gapful number since it is divisible by the number (14) 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 100341043404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140055032880).

100341043404 is an abundant number, since it is smaller than the sum of its proper divisors (179769022356).

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

100341043404 is a wasteful number, since it uses less digits than its factorization.

100341043404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6559 counting only the distinct ones).

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

Adding to 100341043404 its reverse (404340143001), we get a palindrome (504681186405).

The spelling of 100341043404 in words is "one hundred billion, three hundred forty-one million, forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 809 1036 1554 1618 1813 2427 3108 3236 3626 4854 5439 5663 5701 7252 9708 10878 11326 11402 16989 17103 21756 22652 22804 29933 33978 34206 39641 39907 59866 67956 68412 79282 79814 89799 118923 119721 119732 158564 159628 179598 209531 210937 237846 239442 279349 359196 419062 421874 475692 478884 558698 628593 632811 838047 838124 843748 1117396 1257186 1265622 1466717 1476559 1676094 2514372 2531244 2933434 2953118 3352188 4400151 4429677 4612109 5866868 5906236 8800302 8859354 9224218 10335913 13836327 17600604 17718708 18448436 20671826 27672654 31007739 32284763 41343652 55345308 62015478 64569526 96854289 124030956 129139052 170648033 193708578 225993341 341296066 387417156 451986682 511944099 677980023 682592132 903973364 1023888198 1194536231 1355960046 2047776396 2389072462 2711920092 3583608693 4778144924 7167217386 8361753617 14334434772 16723507234 25085260851 33447014468 50170521702 100341043404