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13241120420 = 2251114922711
BaseRepresentation
bin11000101010011101…
…10111011010100100
31021011210111121111102
430111032313122210
5204104211323140
610025523055232
7646061444423
oct142516673244
937153447442
1013241120420
1156852a3830
122696511518
1313303257c8
148d87b32ba
155276cee15
hex3153b76a4

13241120420 has 72 divisors (see below), whose sum is σ = 30550419648. Its totient is φ = 4780873600.

The previous prime is 13241120407. The next prime is 13241120443. The reversal of 13241120420 is 2402114231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13241120392 and 13241120401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4882865 + ... + 4885575.

It is an arithmetic number, because the mean of its divisors is an integer number (424311384).

Almost surely, 213241120420 is an apocalyptic number.

13241120420 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 13241120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275209824).

13241120420 is an abundant number, since it is smaller than the sum of its proper divisors (17309299228).

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

13241120420 is a wasteful number, since it uses less digits than its factorization.

13241120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 2878 counting only the distinct ones).

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

Adding to 13241120420 its reverse (2402114231), we get a palindrome (15643234651).

The spelling of 13241120420 in words is "thirteen billion, two hundred forty-one million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2711 2980 3278 5422 6556 8195 10844 13555 16390 22201 27110 29821 32780 44402 54220 59642 88804 111005 119284 149105 222010 244211 298210 403939 444020 488422 596420 807878 976844 1221055 1615756 2019695 2442110 4039390 4443329 4884220 8078780 8886658 17773316 22216645 44433290 60186911 88866580 120373822 240747644 300934555 601869110 662056021 1203738220 1324112042 2648224084 3310280105 6620560210 13241120420