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13210011120 = 2435311176983
BaseRepresentation
bin11000100110110000…
…01100010111110000
31021002121222002120010
430103120030113300
5204023230323440
610022452214520
7645233145645
oct142330142760
937077862503
1013210011120
115669785969
12268800a440
131326a52937
148d45d5dcc
15524ad7580
hex31360c5f0

13210011120 has 80 divisors (see below), whose sum is σ = 41082941952. Its totient is φ = 3511322880.

The previous prime is 13210011083. The next prime is 13210011137. The reversal of 13210011120 is 2111001231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13210011096 and 13210011105.

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, 13852 + ... + 163131.

Almost surely, 213210011120 is an apocalyptic number.

13210011120 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 13210011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541470976).

13210011120 is an abundant number, since it is smaller than the sum of its proper divisors (27872930832).

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

13210011120 is a wasteful number, since it uses less digits than its factorization.

13210011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177310 (or 177304 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13210011120 its reverse (2111001231), we get a palindrome (15321012351).

The spelling of 13210011120 in words is "thirteen billion, two hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 12440 14928 18660 24880 37320 74640 176983 353966 530949 707932 884915 1061898 1415864 1769830 2123796 2654745 2831728 3539660 4247592 5309490 7079320 8495184 10618980 14158640 21237960 42475920 55041713 110083426 165125139 220166852 275208565 330250278 440333704 550417130 660500556 825625695 880667408 1100834260 1321001112 1651251390 2201668520 2642002224 3302502780 4403337040 6605005560 13210011120