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13211034100 = 22521122937649
BaseRepresentation
bin11000100110111000…
…00110000111110100
31021002200220001211021
430103130012013310
5204024011042400
610022530150524
7645244636255
oct142334060764
937080801737
1013211034100
11566a314500
122688422444
131327020454
148d47c0b2c
15524c3a71a
hex3137061f4

13211034100 has 108 divisors (see below), whose sum is σ = 32598499500. Its totient is φ = 4638233600.

The previous prime is 13211034097. The next prime is 13211034131. The reversal of 13211034100 is 143011231.

It can be written as a sum of positive squares in 6 ways, for example, as 334231524 + 12876802576 = 18282^2 + 113476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332076 + ... + 369724.

Almost surely, 213211034100 is an apocalyptic number.

13211034100 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 13211034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299249750).

13211034100 is an abundant number, since it is smaller than the sum of its proper divisors (19387465400).

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

13211034100 is a wasteful number, since it uses less digits than its factorization.

13211034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37714 (or 37696 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13211034100 its reverse (143011231), we get a palindrome (13354045331).

The spelling of 13211034100 in words is "thirteen billion, two hundred eleven million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 145 220 242 275 290 319 484 550 580 605 638 725 1100 1210 1276 1450 1595 2420 2900 3025 3190 3509 6050 6380 7018 7975 12100 14036 15950 17545 31900 35090 37649 70180 75298 87725 150596 175450 188245 350900 376490 414139 752980 828278 941225 1091821 1656556 1882450 2070695 2183642 3764900 4141390 4367284 4555529 5459105 8282780 9111058 10353475 10918210 12010031 18222116 20706950 21836420 22777645 24020062 27295525 41413900 45555290 48040124 54591050 60050155 91110580 109182100 113888225 120100310 132110341 227776450 240200620 264220682 300250775 455552900 528441364 600501550 660551705 1201003100 1321103410 2642206820 3302758525 6605517050 13211034100