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1052114351010 = 2355316334711699
BaseRepresentation
bin11110100111101101110…
…01101111001110100010
310201120200122202202102120
433103312321233032202
5114214212233213020
62123200141525110
7136004242266312
oct17236671571642
93646618682376
101052114351010
11376221139178
1214baa6b73796
13782a20ac528
1438ccb8bb442
151c57ba5a740
hexf4f6e6f3a2

1052114351010 has 128 divisors (see below), whose sum is σ = 2596182451200. Its totient is φ = 272769659136.

The previous prime is 1052114350951. The next prime is 1052114351017. The reversal of 1052114351010 is 101534112501.

It is a super-2 number, since 2×10521143510102 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052114351017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89926141 + ... + 89937839.

It is an arithmetic number, because the mean of its divisors is an integer number (20282675400).

Almost surely, 21052114351010 is an apocalyptic number.

1052114351010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052114351010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298091225600).

1052114351010 is an abundant number, since it is smaller than the sum of its proper divisors (1544068100190).

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

1052114351010 is a wasteful number, since it uses less digits than its factorization.

1052114351010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 1052114351010 its reverse (101534112501), we get a palindrome (1153648463511).

The spelling of 1052114351010 in words is "one trillion, fifty-two billion, one hundred fourteen million, three hundred fifty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 163 265 318 326 347 489 530 694 795 815 978 1041 1590 1630 1735 2082 2445 3470 4890 5205 8639 10410 11699 17278 18391 23398 25917 35097 36782 43195 51834 55173 56561 58495 70194 86390 91955 110346 113122 116990 129585 169683 175485 183910 259170 275865 282805 339366 350970 551730 565610 620047 848415 1240094 1696830 1860141 1906937 2997733 3100235 3720282 3813874 4059553 5720811 5995466 6200470 8119106 8993199 9300705 9534685 11441622 12178659 14988665 17986398 18601410 19069370 20297765 24357318 28604055 29977330 40595530 44965995 57208110 60893295 89931990 101067661 121786590 202135322 215156309 303202983 430312618 505338305 606405966 645468927 661707139 1010676610 1075781545 1290937854 1323414278 1516014915 1985121417 2151563090 3032029830 3227344635 3308535695 3970242834 6454689270 6617071390 9925607085 19851214170 35070478367 70140956734 105211435101 175352391835 210422870202 350704783670 526057175505 1052114351010