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10304013020 = 2257253283701
BaseRepresentation
bin10011001100010101…
…01100001011011100
3222121002211002120212
421212022230023130
5132100311404040
64422242431552
7513225444200
oct114612541334
928532732525
1010304013020
11440838a544
121bb69625b8
13c82991a32
146da69cb00
15404910d65
hex2662ac2dc

10304013020 has 144 divisors (see below), whose sum is σ = 25773497568. Its totient is φ = 3448972800.

The previous prime is 10304013017. The next prime is 10304013023. The reversal of 10304013020 is 2031040301.

It is an interprime number because it is at equal distance from previous prime (10304013017) and next prime (10304013023).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10304012986 and 10304013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304013023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14698670 + ... + 14699370.

It is an arithmetic number, because the mean of its divisors is an integer number (178982622).

Almost surely, 210304013020 is an apocalyptic number.

10304013020 is a gapful number since it is divisible by the number (10) 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 10304013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886748784).

10304013020 is an abundant number, since it is smaller than the sum of its proper divisors (15469484548).

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

10304013020 is a wasteful number, since it uses less digits than its factorization.

10304013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10304013020 its reverse (2031040301), we get a palindrome (12335053321).

The spelling of 10304013020 in words is "ten billion, three hundred four million, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 283 371 490 530 566 701 742 980 1060 1132 1402 1415 1484 1855 1981 2597 2804 2830 3505 3710 3962 4907 5194 5660 7010 7420 7924 9814 9905 10388 12985 13867 14020 14999 19628 19810 24535 25970 27734 29998 34349 37153 39620 49070 51940 55468 59996 68698 69335 74306 74995 98140 104993 137396 138670 148612 149990 171745 185765 198383 209986 260071 277340 299980 343490 371530 396766 419972 520142 524965 686980 734951 743060 793532 991915 1040284 1049930 1300355 1388681 1469902 1820497 1983830 2099860 2600710 2777362 2939804 3640994 3674755 3967660 5201420 5554724 6943405 7281988 7349510 9102485 9720767 10514299 13886810 14699020 18204970 19441534 21028598 27773620 36409940 38883068 42057196 48603835 52571495 73600093 97207670 105142990 147200186 194415340 210285980 294400372 368000465 515200651 736000930 1030401302 1472001860 2060802604 2576003255 5152006510 10304013020