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13420134200 = 2352112619091
BaseRepresentation
bin11000111111110011…
…01111111100111000
31021122021100110020102
430133321233330320
5204441023243300
610055400014532
7653364154454
oct143771577470
937567313212
1013420134200
115767352500
122726461448
13135b442815
14914491664
155382910d5
hex31fe6ff38

13420134200 has 144 divisors (see below), whose sum is σ = 34862273880. Its totient is φ = 4799520000.

The previous prime is 13420134191. The next prime is 13420134229. The reversal of 13420134200 is 243102431.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1471655 + ... + 1480745.

Almost surely, 213420134200 is an apocalyptic number.

13420134200 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 13420134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431136940).

13420134200 is an abundant number, since it is smaller than the sum of its proper divisors (21442139680).

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

13420134200 is a wasteful number, since it uses less digits than its factorization.

13420134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9170 counting only the distinct ones).

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

Adding to 13420134200 its reverse (243102431), we get a palindrome (13663236631).

The spelling of 13420134200 in words is "thirteen billion, four hundred twenty million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 121 122 200 220 242 244 275 305 440 484 488 550 605 610 671 968 1100 1210 1220 1342 1525 2200 2420 2440 2684 3025 3050 3355 4840 5368 6050 6100 6710 7381 9091 12100 12200 13420 14762 16775 18182 24200 26840 29524 33550 36364 36905 45455 59048 67100 72728 73810 90910 100001 134200 147620 181820 184525 200002 227275 295240 363640 369050 400004 454550 500005 554551 738100 800008 909100 1000010 1100011 1109102 1476200 1818200 2000020 2200022 2218204 2500025 2772755 4000040 4400044 4436408 5000050 5500055 5545510 6100061 8800088 10000100 11000110 11091020 12200122 13863775 20000200 22000220 22182040 24400244 27500275 27727550 30500305 44000440 48800488 55000550 55455100 61000610 67100671 110001100 110910200 122001220 134201342 152501525 220002200 244002440 268402684 305003050 335503355 536805368 610006100 671006710 1220012200 1342013420 1677516775 2684026840 3355033550 6710067100 13420134200