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1011052443400 = 235225728170001
BaseRepresentation
bin11101011011001110110…
…10111111011100001000
310120122200222112201112121
432231213122333130020
5113031113411142100
62052245430421024
7133021551654046
oct16554732773410
93518628481477
101011052443400
1135a86a82323a
12143b47501774
137445a02578c
1436d14289396
151b476c1451a
hexeb676bf708

1011052443400 has 96 divisors (see below), whose sum is σ = 2368275463080. Its totient is φ = 401408000000.

The previous prime is 1011052443391. The next prime is 1011052443407. The reversal of 1011052443400 is 43442501101.

It can be written as a sum of positive squares in 12 ways, for example, as 597940306756 + 413112136644 = 773266^2 + 642738^2 .

It is a super-2 number, since 2×10110524434002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1011052443407) 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, 14408400 + ... + 14478400.

Almost surely, 21011052443400 is an apocalyptic number.

1011052443400 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 1011052443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184137731540).

1011052443400 is an abundant number, since it is smaller than the sum of its proper divisors (1357223019680).

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

1011052443400 is a wasteful number, since it uses less digits than its factorization.

1011052443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70555 (or 70546 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1011052443400 its reverse (43442501101), we get a palindrome (1054494944501).

The spelling of 1011052443400 in words is "one trillion, eleven billion, fifty-two million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 281 514 562 1028 1124 1285 1405 2056 2248 2570 2810 5140 5620 6425 7025 10280 11240 12850 14050 25700 28100 51400 56200 70001 72217 140002 144434 280004 288868 350005 361085 560008 577736 700010 722170 1400020 1444340 1750025 1805425 2800040 2888680 3500050 3610850 7000100 7221700 14000200 14443400 17990257 19670281 35980514 39340562 71961028 78681124 89951285 98351405 143922056 157362248 179902570 196702810 359805140 393405620 449756425 491757025 719610280 786811240 899512850 983514050 1799025700 1967028100 3598051400 3934056200 5055262217 10110524434 20221048868 25276311085 40442097736 50552622170 101105244340 126381555425 202210488680 252763110850 505526221700 1011052443400