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13122241400 = 2352234128027
BaseRepresentation
bin11000011100010010…
…11000001101111000
31020212111210221010202
430032021120031320
5203333243211100
610010035101332
7643116132362
oct141611301570
936774727122
1013122241400
115624188204
122662741848
131311801ba8
148c6aa9d32
1551c04b7d5
hex30e258378

13122241400 has 48 divisors (see below), whose sum is σ = 30523332840. Its totient is φ = 5246467200.

The previous prime is 13122241399. The next prime is 13122241409. The reversal of 13122241400 is 414222131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122241409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454187 + ... + 482213.

Almost surely, 213122241400 is an apocalyptic number.

13122241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122241400 is an abundant number, since it is smaller than the sum of its proper divisors (17401091440).

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

13122241400 is a wasteful number, since it uses less digits than its factorization.

13122241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30384 (or 30375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13122241400 its reverse (414222131), we get a palindrome (13536463531).

The spelling of 13122241400 in words is "thirteen billion, one hundred twenty-two million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2341 4682 9364 11705 18728 23410 28027 46820 56054 58525 93640 112108 117050 140135 224216 234100 280270 468200 560540 700675 1121080 1401350 2802700 5605400 65611207 131222414 262444828 328056035 524889656 656112070 1312224140 1640280175 2624448280 3280560350 6561120700 13122241400