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2120032210000 = 2454361758613
BaseRepresentation
bin11110110110011011110…
…001000100110001010000
321111200011200121220021111
4132312123301010301100
5234213311221210000
64301532423503104
7306111242312125
oct36663361046120
97450150556244
102120032210000
11748111a05841
122a2a625b7a94
13124bc23185c3
14748781bc74c
153a230be6cba
hex1ed9bc44c50

2120032210000 has 100 divisors (see below), whose sum is σ = 5134316658372. Its totient is φ = 847763968000.

The previous prime is 2120032209943. The next prime is 2120032210019. The reversal of 2120032210000 is 122300212.

It can be written as a sum of positive squares in 10 ways, for example, as 1618462307344 + 501569902656 = 1272188^2 + 708216^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36140694 + ... + 36199306.

Almost surely, 22120032210000 is an apocalyptic number.

2120032210000 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 2120032210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567158329186).

2120032210000 is an abundant number, since it is smaller than the sum of its proper divisors (3014284448372).

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

2120032210000 is an equidigital number, since it uses as much as digits as its factorization.

2120032210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62258 (or 62237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2120032210000 its reverse (122300212), we get a palindrome (2120154510212).

The spelling of 2120032210000 in words is "two trillion, one hundred twenty billion, thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3617 5000 7234 10000 14468 18085 28936 36170 57872 58613 72340 90425 117226 144680 180850 234452 289360 293065 361700 452125 468904 586130 723400 904250 937808 1172260 1446800 1465325 1808500 2260625 2344520 2930650 3617000 4521250 4689040 5861300 7234000 7326625 9042500 11722600 14653250 18085000 23445200 29306500 36170000 36633125 58613000 73266250 117226000 146532500 212003221 293065000 424006442 586130000 848012884 1060016105 1696025768 2120032210 3392051536 4240064420 5300080525 8480128840 10600161050 16960257680 21200322100 26500402625 42400644200 53000805250 84801288400 106001610500 132502013125 212003221000 265004026250 424006442000 530008052500 1060016105000 2120032210000