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103021214340 = 223511626324923
BaseRepresentation
bin101111111110010001…
…0101111101010000100
3100211220201120221012010
41133330202233222010
53141441412324330
6115154410054220
710304650605402
oct1377442575204
9324821527163
10103021214340
113a766876160
1217b7171a370
13993a711035
144db43ca472
152a2e5be3b0
hex17fc8afa84

103021214340 has 96 divisors (see below), whose sum is σ = 314745854976. Its totient is φ = 24969850240.

The previous prime is 103021214339. The next prime is 103021214347. The reversal of 103021214340 is 43412120301.

103021214340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030212143402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103021214347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4121119 + ... + 4146041.

It is an arithmetic number, because the mean of its divisors is an integer number (3278602656).

Almost surely, 2103021214340 is an apocalyptic number.

103021214340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103021214340 is an abundant number, since it is smaller than the sum of its proper divisors (211724640636).

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

103021214340 is a wasteful number, since it uses less digits than its factorization.

103021214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31209 (or 31207 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 103021214340 its reverse (43412120301), we get a palindrome (146433334641).

The spelling of 103021214340 in words is "one hundred three billion, twenty-one million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 6263 12526 18789 24923 25052 31315 37578 49846 62630 68893 74769 75156 93945 99692 124615 125260 137786 149538 187890 206679 249230 274153 275572 299076 344465 373845 375780 413358 498460 548306 688930 747690 822459 826716 1033395 1096612 1370765 1377860 1495380 1644918 2066790 2741530 3289836 4112295 4133580 5483060 8224590 16449180 156092749 312185498 468278247 624370996 780463745 936556494 1560927490 1717020239 1873112988 2341391235 3121854980 3434040478 4682782470 5151060717 6868080956 8585101195 9365564940 10302121434 17170202390 20604242868 25755303585 34340404780 51510607170 103021214340