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2120210306016 = 253112939683149
BaseRepresentation
bin11110110110100110011…
…000011101001111100000
321111200122002202010002020
4132312212120131033200
5234214142314243031
64302002225021440
7306115534150365
oct36664630351740
97450562663066
102120210306016
117481a3497a30
122a2ab2184880
13124c201a396a
1474893adc46c
153a241676096
hex1eda661d3e0

2120210306016 has 96 divisors (see below), whose sum is σ = 6073586064000. Its totient is φ = 642268423680.

The previous prime is 2120210305937. The next prime is 2120210306057. The reversal of 2120210306016 is 6106030120212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2762010 + ... + 3445158.

It is an arithmetic number, because the mean of its divisors is an integer number (63266521500).

Almost surely, 22120210306016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120210306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036793032000).

2120210306016 is an abundant number, since it is smaller than the sum of its proper divisors (3953375757984).

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

2120210306016 is a wasteful number, since it uses less digits than its factorization.

2120210306016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686112 (or 686104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 2120210306016 its reverse (6106030120212), we get a palindrome (8226240426228).

The spelling of 2120210306016 in words is "two trillion, one hundred twenty billion, two hundred ten million, three hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2939 5878 8817 11756 17634 23512 32329 35268 47024 64658 70536 94048 96987 129316 141072 193974 258632 282144 387948 517264 683149 775896 1034528 1366298 1551792 2049447 2732596 3103584 4098894 5465192 7514639 8197788 10930384 15029278 16395576 21860768 22543917 30058556 32791152 45087834 60117112 65582304 90175668 120234224 180351336 240468448 360702672 721405344 2007774911 4015549822 6023324733 8031099644 12046649466 16062199288 22085524021 24093298932 32124398576 44171048042 48186597864 64248797152 66256572063 88342096084 96373195728 132513144126 176684192168 192746391456 265026288252 353368384336 530052576504 706736768672 1060105153008 2120210306016