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1020141023304 = 233132516748677
BaseRepresentation
bin11101101100001010010…
…01001011000001001000
310121112011101022102100010
432312011021023001020
5113203222100221204
62100351334311520
7133463021424414
oct16660511130110
93545141272303
101020141023304
113637040158a7
121458631b85a0
1375277c4b500
143753735bd44
151b809a8bd89
hexed8524b048

1020141023304 has 96 divisors (see below), whose sum is σ = 2762215585920. Its totient is φ = 313822349568.

The previous prime is 1020141023303. The next prime is 1020141023311. The reversal of 1020141023304 is 4033201410201.

It is not an unprimeable number, because it can be changed into a prime (1020141023303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20933014 + ... + 20981690.

It is an arithmetic number, because the mean of its divisors is an integer number (28773079020).

Almost surely, 21020141023304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020141023304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381107792960).

1020141023304 is an abundant number, since it is smaller than the sum of its proper divisors (1742074562616).

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

1020141023304 is a wasteful number, since it uses less digits than its factorization.

1020141023304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53879 (or 53862 counting only the distinct ones).

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

Adding to 1020141023304 its reverse (4033201410201), we get a palindrome (5053342433505).

The spelling of 1020141023304 in words is "one trillion, twenty billion, one hundred forty-one million, twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 5167 10334 15501 20668 31002 41336 48677 62004 67171 97354 124008 134342 146031 194708 201513 268684 292062 389416 403026 537368 584124 632801 806052 873223 1168248 1265602 1612104 1746446 1898403 2531204 2619669 3492892 3796806 5062408 5239338 6985784 7593612 8226413 10478676 15187224 16452826 20957352 24679239 32905652 49358478 65811304 98716956 197433912 251514059 503028118 754542177 1006056236 1509084354 2012112472 3018168708 3269682767 6036337416 6539365534 9809048301 13078731068 19618096602 26157462136 39236193204 42505875971 78472386408 85011751942 127517627913 170023503884 255035255826 340047007768 510070511652 1020141023304