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2111120020 = 2251913142409
BaseRepresentation
bin111110111010101…
…0010001010010100
312110010110000020101
41331311102022110
513310421320040
6545252343444
7103213136602
oct17565221224
95403400211
102111120020
11993743799
124ab014b84
132784b2459
14160542872
15c551209a
hex7dd52294

2111120020 has 48 divisors (see below), whose sum is σ = 4702420800. Its totient is φ = 793877760.

The previous prime is 2111120003. The next prime is 2111120029. The reversal of 2111120020 is 200211112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2111119979 and 2111120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111120029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28576 + ... + 70984.

It is an arithmetic number, because the mean of its divisors is an integer number (97967100).

Almost surely, 22111120020 is an apocalyptic number.

2111120020 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 2111120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351210400).

2111120020 is an abundant number, since it is smaller than the sum of its proper divisors (2591300780).

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

2111120020 is a wasteful number, since it uses less digits than its factorization.

2111120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42568 (or 42566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111120020 is about 45946.9261213413. The cubic root of 2111120020 is about 1282.8355149425.

Adding to 2111120020 its reverse (200211112), we get a palindrome (2311331132).

The spelling of 2111120020 in words is "two billion, one hundred eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 1310 2489 2620 4978 9956 12445 24890 42409 49780 84818 169636 212045 424090 805771 848180 1611542 3223084 4028855 5555579 8057710 11111158 16115420 22222316 27777895 55555790 105556001 111111580 211112002 422224004 527780005 1055560010 2111120020