Search a number
-
+
1253114355320 = 235233147934853
BaseRepresentation
bin10010001111000011011…
…011111001111001111000
311102210111200201220221122
4102033003123321321320
5131012334233332240
62355401153324412
7156351225162632
oct22170333717170
94383450656848
101253114355320
11443496426413
12182a41566708
139122563a819
144491870ba52
15228e2bb24b5
hex123c36f9e78

1253114355320 has 128 divisors (see below), whose sum is σ = 3101621207040. Its totient is φ = 454113707520.

The previous prime is 1253114355257. The next prime is 1253114355323. The reversal of 1253114355320 is 235534113521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253114355323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873014 + ... + 1807866.

It is an arithmetic number, because the mean of its divisors is an integer number (24231415680).

Almost surely, 21253114355320 is an apocalyptic number.

1253114355320 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 1253114355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550810603520).

1253114355320 is an abundant number, since it is smaller than the sum of its proper divisors (1848506851720).

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

1253114355320 is a wasteful number, since it uses less digits than its factorization.

1253114355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934965 (or 934961 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 1253114355320 its reverse (235534113521), we get a palindrome (1488648468841).

The spelling of 1253114355320 in words is "one trillion, two hundred fifty-three billion, one hundred fourteen million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 47 62 92 94 115 124 155 184 188 230 235 248 310 376 460 470 620 713 920 940 1081 1240 1426 1457 1880 2162 2852 2914 3565 4324 5405 5704 5828 7130 7285 8648 10810 11656 14260 14570 21620 28520 29140 33511 43240 58280 67022 134044 167555 268088 335110 670220 934853 1340440 1869706 3739412 4674265 7478824 9348530 18697060 21501619 28980443 37394120 43003238 43938091 57960886 86006476 87876182 107508095 115921772 144902215 172012952 175752364 215016190 219690455 231843544 289804430 351504728 430032380 439380910 579608860 666550189 860064760 878761820 1010576093 1159217720 1333100378 1362080821 1757523640 2021152186 2666200756 2724161642 3332750945 4042304372 5052880465 5332401512 5448323284 6665501890 6810404105 8084608744 10105760930 10896646568 13331003780 13620808210 20211521860 26662007560 27241616420 31327858883 40423043720 54483232840 62655717766 125311435532 156639294415 250622871064 313278588830 626557177660 1253114355320