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13211004020 = 225311011131867
BaseRepresentation
bin11000100110110111…
…11110110001110100
31021002200211112120012
430103123332301310
5204024004112040
610022525355352
7645244452464
oct142333766164
937080745505
1013211004020
11566a2a3945
122688408b58
13132700c856
148d47b3ba4
15524c31865
hex3136fec74

13211004020 has 96 divisors (see below), whose sum is σ = 29193163776. Its totient is φ = 5015808000.

The previous prime is 13211003999. The next prime is 13211004041. The reversal of 13211004020 is 2040011231.

It is an interprime number because it is at equal distance from previous prime (13211003999) and next prime (13211004041).

It is a junction number, because it is equal to n+sod(n) for n = 13211003986 and 13211004004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7075127 + ... + 7076993.

It is an arithmetic number, because the mean of its divisors is an integer number (304095456).

Almost surely, 213211004020 is an apocalyptic number.

13211004020 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 13211004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596581888).

13211004020 is an abundant number, since it is smaller than the sum of its proper divisors (15982159756).

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

13211004020 is a wasteful number, since it uses less digits than its factorization.

13211004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13211004020 its reverse (2040011231), we get a palindrome (15251015251).

The spelling of 13211004020 in words is "thirteen billion, two hundred eleven million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 101 113 124 155 202 226 310 404 452 505 565 620 1010 1130 1867 2020 2260 3131 3503 3734 6262 7006 7468 9335 11413 12524 14012 15655 17515 18670 22826 31310 35030 37340 45652 57065 57877 62620 70060 114130 115754 188567 210971 228260 231508 289385 353803 377134 421942 578770 707606 754268 843884 942835 1054855 1157540 1415212 1769015 1885670 2109710 3538030 3771340 4219420 5845577 6540101 7076060 11691154 13080202 21308071 23382308 26160404 29227885 32700505 42616142 58455770 65401010 85232284 106540355 116911540 130802020 213080710 426161420 660550201 1321100402 2642200804 3302751005 6605502010 13211004020