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13001822420 = 22541148710663
BaseRepresentation
bin11000001101111100…
…00001000011010100
31020120010020000100112
430012332001003110
5203111431304140
65550054102152
7640124444546
oct140676010324
936503200315
1013001822420
11557220a694
12262a34a958
1312c288c362
148b4ac1696
155116b1c65
hex306f810d4

13001822420 has 48 divisors (see below), whose sum is σ = 27991208448. Its totient is φ = 5069994240.

The previous prime is 13001822371. The next prime is 13001822447. The reversal of 13001822420 is 2422810031.

It is a happy number.

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, 1214009 + ... + 1224671.

It is an arithmetic number, because the mean of its divisors is an integer number (583150176).

Almost surely, 213001822420 is an apocalyptic number.

13001822420 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 13001822420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995604224).

13001822420 is an abundant number, since it is smaller than the sum of its proper divisors (14989386028).

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

13001822420 is a wasteful number, since it uses less digits than its factorization.

13001822420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12200 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 13001822420 in words is "thirteen billion, one million, eight hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1487 2974 5948 7435 10663 14870 21326 29740 42652 53315 60967 106630 121934 213260 243868 304835 437183 609670 874366 1219340 1748732 2185915 4371830 8743660 15855881 31711762 63423524 79279405 158558810 317117620 650091121 1300182242 2600364484 3250455605 6500911210 13001822420