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2111113420 = 2251323491719
BaseRepresentation
bin111110111010101…
…0000100011001100
312110010102200011221
41331311100203030
513310421112140
6545252253124
7103213111423
oct17565204314
95403380157
102111113420
11993739839
124ab0111a4
132784ac450
141605402ba
15c551014a
hex7dd508cc

2111113420 has 96 divisors (see below), whose sum is σ = 4999034880. Its totient is φ = 743043840.

The previous prime is 2111113387. The next prime is 2111113451. The reversal of 2111113420 is 243111112.

It is a junction number, because it is equal to n+sod(n) for n = 2111113394 and 2111113403.

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, 2935821 + ... + 2936539.

It is an arithmetic number, because the mean of its divisors is an integer number (52073280).

Almost surely, 22111113420 is an apocalyptic number.

2111113420 is a gapful number since it is divisible by the number (20) 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 2111113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499517440).

2111113420 is an abundant number, since it is smaller than the sum of its proper divisors (2887921460).

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

2111113420 is a wasteful number, since it uses less digits than its factorization.

2111113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2111113420 is about 45946.8542992880. The cubic root of 2111113420 is about 1282.8341780971.

Adding to 2111113420 its reverse (243111112), we get a palindrome (2354224532).

The spelling of 2111113420 in words is "two billion, one hundred eleven million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 491 598 719 982 1196 1438 1495 1964 2455 2876 2990 3595 4910 5980 6383 7190 9347 9820 11293 12766 14380 16537 18694 22586 25532 31915 33074 37388 45172 46735 56465 63830 66148 82685 93470 112930 127660 146809 165370 186940 214981 225860 293618 330740 353029 429962 587236 706058 734045 859924 1074905 1412116 1468090 1765145 2149810 2936180 3530290 4299620 4589377 7060580 8119667 9178754 16239334 18357508 22946885 32478668 40598335 45893770 81196670 91787540 105555671 162393340 211111342 422222684 527778355 1055556710 2111113420