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40020122312300 = 225213171810865263
BaseRepresentation
bin10010001100101111010010…
…01011001001111001101100
312020200212221010121101111102
421012113221023021321230
520221142202302443200
6221040553531142232
711300233636632164
oct1106275113117154
9166625833541442
1040020122312300
111182a4907a5139
1245a4201ba4978
131943b5c3c8930
149c4dacb1d5a4
154960365986d5
hex2465e92c9e6c

40020122312300 has 72 divisors (see below), whose sum is σ = 99025356096576. Its totient is φ = 13907445212160.

The previous prime is 40020122312299. The next prime is 40020122312309. The reversal of 40020122312300 is 321322102004.

40020122312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400201223123002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40020122312309) 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 23 ways as a sum of consecutive naturals, for example, 905410532 + ... + 905454731.

It is an arithmetic number, because the mean of its divisors is an integer number (1375352168008).

Almost surely, 240020122312300 is an apocalyptic number.

It is an amenable number.

40020122312300 is an abundant number, since it is smaller than the sum of its proper divisors (59005233784276).

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

40020122312300 is a wasteful number, since it uses less digits than its factorization.

40020122312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810865307 (or 1810865300 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40020122312300 its reverse (321322102004), we get a palindrome (40341444414304).

The spelling of 40020122312300 in words is "forty trillion, twenty billion, one hundred twenty-two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 1810865263 3621730526 7243461052 9054326315 18108652630 23541248419 30784709471 36217305260 45271631575 47082496838 61569418942 90543263150 94164993676 117706242095 123138837884 153923547355 181086526300 235412484190 307847094710 400201223123 470824968380 588531210475 615694189420 769617736775 800402446246 1177062420950 1539235473550 1600804892492 2001006115615 2354124841900 3078470947100 4002012231230 8004024462460 10005030578075 20010061156150 40020122312300