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1302010020000 = 25325437195497
BaseRepresentation
bin10010111100100101110…
…110000100000010100000
311121110201022120001022100
4102330211312010002200
5132313004031120000
62434045105210400
7163032010365114
oct22744566040240
94543638501270
101302010020000
114621a7792a48
12190408630a00
1395a1866c4a1
14470364d1744
1523d05616a00
hex12f25d840a0

1302010020000 has 360 divisors, whose sum is σ = 4751829518436. Its totient is φ = 337817088000.

The previous prime is 1302010019987. The next prime is 1302010020007. The reversal of 1302010020000 is 200102031.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 90786510864 + 1211223509136 = 301308^2 + 1100556^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1302010020007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6562252 + ... + 6757748.

Almost surely, 21302010020000 is an apocalyptic number.

1302010020000 is a gapful number since it is divisible by the number (10) 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 1302010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375914759218).

1302010020000 is an abundant number, since it is smaller than the sum of its proper divisors (3449819498436).

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

1302010020000 is a wasteful number, since it uses less digits than its factorization.

1302010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195570 (or 195544 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1302010020000 its reverse (200102031), we get a palindrome (1302210122031).

The spelling of 1302010020000 in words is "one trillion, three hundred two billion, ten million, twenty thousand".