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1053524331040 = 255311721123419
BaseRepresentation
bin11110101010010101111…
…00011000101000100000
310201201022220220011102011
433111022330120220200
5114230104212043130
62123552110402304
7136054213026256
oct17251274305040
93651286804364
101053524331040
11376885024025
1215021b200394
137846824373c
1438dc2c6a5d6
151c61072252a
hexf54af18a20

1053524331040 has 96 divisors (see below), whose sum is σ = 2570753687040. Its totient is φ = 407575603200.

The previous prime is 1053524331037. The next prime is 1053524331043. The reversal of 1053524331040 is 401334253501.

It is an interprime number because it is at equal distance from previous prime (1053524331037) and next prime (1053524331043).

It is a super-2 number, since 2×10535243310402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1053524330993 and 1053524331011.

It is not an unprimeable number, because it can be changed into a prime (1053524331043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8474451 + ... + 8597869.

It is an arithmetic number, because the mean of its divisors is an integer number (26778684240).

Almost surely, 21053524331040 is an apocalyptic number.

1053524331040 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 1053524331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285376843520).

1053524331040 is an abundant number, since it is smaller than the sum of its proper divisors (1517229356000).

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

1053524331040 is a wasteful number, since it uses less digits than its factorization.

1053524331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125186 (or 125178 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1053524331040 its reverse (401334253501), we get a palindrome (1454858584541).

The spelling of 1053524331040 in words is "one trillion, fifty-three billion, five hundred twenty-four million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 1721 2480 3442 4960 6884 8605 13768 17210 27536 34420 53351 55072 68840 106702 123419 137680 213404 246838 266755 275360 426808 493676 533510 617095 853616 987352 1067020 1234190 1707232 1974704 2134040 2468380 3825989 3949408 4268080 4936760 7651978 8536160 9873520 15303956 19129945 19747040 30607912 38259890 61215824 76519780 122431648 153039560 212404099 306079120 424808198 612158240 849616396 1062020495 1699232792 2124040990 3398465584 4248081980 6584527069 6796931168 8496163960 13169054138 16992327920 26338108276 32922635345 33984655840 52676216552 65845270690 105352433104 131690541380 210704866208 263381082760 526762165520 1053524331040