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1041422242300 = 22521117463120283
BaseRepresentation
bin11110010011110011001…
…10100101000111111100
310200120002111200100122021
433021321212211013330
5114030313043223200
62114231152525524
7135145262000566
oct17117146450774
93616074610567
101041422242300
113717347846a0
12149a022508a4
1377289bb679b
1438595876336
151c15303841a
hexf2799a51fc

1041422242300 has 144 divisors (see below), whose sum is σ = 2616009564672. Its totient is φ = 355649817600.

The previous prime is 1041422242241. The next prime is 1041422242381. The reversal of 1041422242300 is 32422241401.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8597959 + ... + 8718241.

It is an arithmetic number, because the mean of its divisors is an integer number (18166733088).

Almost surely, 21041422242300 is an apocalyptic number.

1041422242300 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 1041422242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308004782336).

1041422242300 is an abundant number, since it is smaller than the sum of its proper divisors (1574587322372).

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

1041422242300 is a wasteful number, since it uses less digits than its factorization.

1041422242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120788 (or 120781 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1041422242300 its reverse (32422241401), we get a palindrome (1073844483701).

The spelling of 1041422242300 in words is "one trillion, forty-one billion, four hundred twenty-two million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 463 550 748 850 926 935 1100 1700 1852 1870 2315 3740 4630 4675 5093 7871 9260 9350 10186 11575 15742 18700 20372 23150 25465 31484 39355 46300 50930 78710 86581 101860 120283 127325 157420 173162 196775 240566 254650 346324 393550 432905 481132 509300 601415 787100 865810 1202830 1323113 1731620 2044811 2164525 2405660 2646226 3007075 4089622 4329050 5292452 6014150 6615565 8179244 8658100 10224055 12028300 13231130 20448110 22492921 26462260 33077825 40896220 44985842 51120275 55691029 66155650 89971684 102240550 111382058 112464605 132311300 204481100 222764116 224929210 278455145 449858420 556910290 562323025 612601319 946747493 1113820580 1124646050 1225202638 1392275725 1893494986 2249292100 2450405276 2784551450 3063006595 3786989972 4733737465 5569102900 6126013190 9467474930 10414222423 12252026380 15315032975 18934949860 20828444846 23668687325 30630065950 41656889692 47337374650 52071112115 61260131900 94674749300 104142224230 208284448460 260355560575 520711121150 1041422242300