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2111234020 = 2257195471451
BaseRepresentation
bin111110111010110…
…1101111111100100
312110010122210121121
41331311231333210
513310433442040
6545255023324
7103214123140
oct17565557744
95403583547
102111234020
11993811405
124ab06ab44
132785222cc
14160572220
15c5535c4a
hex7dd6dfe4

2111234020 has 96 divisors (see below), whose sum is σ = 5347077120. Its totient is φ = 684028800.

The previous prime is 2111233981. The next prime is 2111234071. The reversal of 2111234020 is 204321112.

It is a junction number, because it is equal to n+sod(n) for n = 2111233985 and 2111234003.

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, 1454295 + ... + 1455745.

It is an arithmetic number, because the mean of its divisors is an integer number (55698720).

Almost surely, 22111234020 is an apocalyptic number.

2111234020 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 2111234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673538560).

2111234020 is an abundant number, since it is smaller than the sum of its proper divisors (3235843100).

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

2111234020 is a wasteful number, since it uses less digits than its factorization.

2111234020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2111234020 is about 45948.1666663644. The cubic root of 2111234020 is about 1282.8586054687.

Adding to 2111234020 its reverse (204321112), we get a palindrome (2315555132).

The spelling of 2111234020 in words is "two billion, one hundred eleven million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 547 665 1094 1330 1451 2188 2660 2735 2902 3829 5470 5804 7255 7658 10157 10393 10940 14510 15316 19145 20314 20786 27569 29020 38290 40628 41572 50785 51965 55138 72751 76580 101570 103930 110276 137845 145502 192983 203140 207860 275690 291004 363755 385966 551380 727510 771932 793697 964915 1455020 1587394 1929830 3174788 3859660 3968485 5555879 7936970 11111758 15080243 15873940 22223516 27779395 30160486 55558790 60320972 75401215 105561701 111117580 150802430 211123402 301604860 422246804 527808505 1055617010 2111234020