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2110011020 = 2251312763901
BaseRepresentation
bin111110111000100…
…0011011010001100
312110001100122222022
41331301003122030
513310130323040
6545212505312
7103200540425
oct17561033214
95401318868
102110011020
11993056567
124aa77b238
132781b4740
1416033464c
15c53936b5
hex7dc4368c

2110011020 has 48 divisors (see below), whose sum is σ = 4809520128. Its totient is φ = 772934400.

The previous prime is 2110011017. The next prime is 2110011061. The reversal of 2110011020 is 201100112.

It is a junction number, because it is equal to n+sod(n) for n = 2110010989 and 2110011007.

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, 1070 + ... + 64970.

It is an arithmetic number, because the mean of its divisors is an integer number (100198336).

Almost surely, 22110011020 is an apocalyptic number.

2110011020 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 2110011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404760064).

2110011020 is an abundant number, since it is smaller than the sum of its proper divisors (2699509108).

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

2110011020 is a wasteful number, since it uses less digits than its factorization.

2110011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64050 (or 64048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110011020 is about 45934.8562640616. The cubic root of 2110011020 is about 1282.6108452947.

Adding to 2110011020 its reverse (201100112), we get a palindrome (2311111132).

The spelling of 2110011020 in words is "two billion, one hundred ten million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 8255 16510 33020 63901 127802 255604 319505 639010 830713 1278020 1661426 3322852 4153565 8115427 8307130 16230854 16614260 32461708 40577135 81154270 105500551 162308540 211001102 422002204 527502755 1055005510 2110011020