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2101043120 = 245118272887
BaseRepresentation
bin111110100111011…
…0101111110110000
312102102111001022212
41331032311332300
513300331334440
6544252351252
7103031400101
oct17516657660
95372431285
102101043120
11988a90880
124a7775528
132763948a7
1415d07c3a8
15c46c1465
hex7d3b5fb0

2101043120 has 80 divisors (see below), whose sum is σ = 5337301248. Its totient is φ = 762827520.

The previous prime is 2101043117. The next prime is 2101043129. The reversal of 2101043120 is 213401012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2101043095 and 2101043104.

It is not an unprimeable number, because it can be changed into a prime (2101043129) 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, 726317 + ... + 729203.

Almost surely, 22101043120 is an apocalyptic number.

2101043120 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 2101043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668650624).

2101043120 is an abundant number, since it is smaller than the sum of its proper divisors (3236258128).

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

2101043120 is a wasteful number, since it uses less digits than its factorization.

2101043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2101043120 is about 45837.1369088428. The cubic root of 2101043120 is about 1280.7911612772.

Adding to 2101043120 its reverse (213401012), we get a palindrome (2314444132).

The spelling of 2101043120 in words is "two billion, one hundred one million, forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 827 880 1654 2887 3308 4135 5774 6616 8270 9097 11548 13232 14435 16540 18194 23096 28870 31757 33080 36388 45485 46192 57740 63514 66160 72776 90970 115480 127028 145552 158785 181940 230960 254056 317570 363880 508112 635140 727760 1270280 2387549 2540560 4775098 9550196 11937745 19100392 23875490 26263039 38200784 47750980 52526078 95501960 105052156 131315195 191003920 210104312 262630390 420208624 525260780 1050521560 2101043120