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1040032112200 = 235253409239893
BaseRepresentation
bin11110010001001101011…
…11101001111001001000
310200102111121220102122021
433020212233221321020
5114014441210042300
62113441213334224
7135065652043264
oct17104657517110
93612447812567
101040032112200
11371091017344
12149694797374
13770c7bb25b3
14384a2db30a4
151c0c0e92d1a
hexf226be9e48

1040032112200 has 96 divisors (see below), whose sum is σ = 2469732719400. Its totient is φ = 407163893760.

The previous prime is 1040032112191. The next prime is 1040032112219. The reversal of 1040032112200 is 22112300401.

It can be written as a sum of positive squares in 12 ways, for example, as 559225778596 + 480806333604 = 747814^2 + 693402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4215454 + ... + 4455346.

Almost surely, 21040032112200 is an apocalyptic number.

1040032112200 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 1040032112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234866359700).

1040032112200 is an abundant number, since it is smaller than the sum of its proper divisors (1429700607200).

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

1040032112200 is a wasteful number, since it uses less digits than its factorization.

1040032112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240371 (or 240362 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1040032112200 its reverse (22112300401), we get a palindrome (1062144412601).

The spelling of 1040032112200 in words is "one trillion, forty billion, thirty-two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 409 424 530 818 1060 1325 1636 2045 2120 2650 3272 4090 5300 8180 10225 10600 16360 20450 21677 40900 43354 81800 86708 108385 173416 216770 239893 433540 479786 541925 867080 959572 1083850 1199465 1919144 2167700 2398930 4335400 4797860 5997325 9595720 11994650 12714329 23989300 25428658 47978600 50857316 63571645 98116237 101714632 127143290 196232474 254286580 317858225 392464948 490581185 508573160 635716450 784929896 981162370 1271432900 1962324740 2452905925 2542865800 3924649480 4905811850 5200160561 9811623700 10400321122 19623247400 20800642244 26000802805 41601284488 52001605610 104003211220 130004014025 208006422440 260008028050 520016056100 1040032112200