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1322010400340 = 225737255214363
BaseRepresentation
bin10011001111001101111…
…101011101011001010100
311200101100011210122021202
4103033031331131121110
5133124434130302330
62451153450532032
7164340435664640
oct23171575353124
94611304718252
101322010400340
1146a7304517a3
1219426a737018
139788514b276
1447db2875c20
15245c640a445
hex133cdf5d654

1322010400340 has 48 divisors (see below), whose sum is σ = 3258576999552. Its totient is φ = 441010417536.

The previous prime is 1322010400331. The next prime is 1322010400363. The reversal of 1322010400340 is 430040102231.

It is a super-3 number, since 3×13220104003403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127602002 + ... + 127612361.

It is an arithmetic number, because the mean of its divisors is an integer number (67887020824).

Almost surely, 21322010400340 is an apocalyptic number.

1322010400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322010400340 is an abundant number, since it is smaller than the sum of its proper divisors (1936566599212).

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

1322010400340 is a wasteful number, since it uses less digits than its factorization.

1322010400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255214416 (or 255214414 counting only the distinct ones).

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

Adding to 1322010400340 its reverse (430040102231), we get a palindrome (1752050502571).

The spelling of 1322010400340 in words is "one trillion, three hundred twenty-two billion, ten million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 255214363 510428726 1020857452 1276071815 1786500541 2552143630 3573001082 5104287260 7146002164 8932502705 9442931431 17865005410 18885862862 35730010820 37771725724 47214657155 66100520017 94429314310 132201040034 188858628620 264402080068 330502600085 661005200170 1322010400340