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2111416020 = 22325710715661
BaseRepresentation
bin111110111011001…
…1010011011010100
312110011000001021100
41331312122123110
513311010303040
6545302550100
7103215511560
oct17566323324
95404001240
102111416020
1199392611a
124ab138330
132785870bc
141605bc6a0
15c556eb30
hex7dd9a6d4

2111416020 has 144 divisors (see below), whose sum is σ = 7388454528. Its totient is φ = 478068480.

The previous prime is 2111416019. The next prime is 2111416049. The reversal of 2111416020 is 206141112.

2111416020 is a `hidden beast` number, since 21 + 1 + 1 + 41 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2111415984 and 2111416002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126990 + ... + 142650.

It is an arithmetic number, because the mean of its divisors is an integer number (51308712).

Almost surely, 22111416020 is an apocalyptic number.

2111416020 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 2111416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694227264).

2111416020 is an abundant number, since it is smaller than the sum of its proper divisors (5277038508).

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

2111416020 is a wasteful number, since it uses less digits than its factorization.

2111416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15790 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2111416020 is about 45950.1471161954. The cubic root of 2111416020 is about 1282.8954675685.

Adding to 2111416020 its reverse (206141112), we get a palindrome (2317557132).

The spelling of 2111416020 in words is "two billion, one hundred eleven million, four hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 420 428 535 630 642 749 963 1070 1260 1284 1498 1605 1926 2140 2247 2996 3210 3745 3852 4494 4815 6420 6741 7490 8988 9630 11235 13482 14980 15661 19260 22470 26964 31322 33705 44940 46983 62644 67410 78305 93966 109627 134820 140949 156610 187932 219254 234915 281898 313220 328881 438508 469830 548135 563796 657762 704745 939660 986643 1096270 1315524 1409490 1644405 1675727 1973286 2192540 2818980 3288810 3351454 3946572 4933215 5027181 6577620 6702908 8378635 9866430 10054362 11730089 15081543 16757270 19732860 20108724 23460178 25135905 30163086 33514540 35190267 46920356 50271810 58650445 60326172 70380534 75407715 100543620 105570801 117300890 140761068 150815430 175951335 211141602 234601780 301630860 351902670 422283204 527854005 703805340 1055708010 2111416020