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1213313303000 = 235310130014003
BaseRepresentation
bin10001101001111111000…
…110111100000111011000
311021222202220000222100202
4101221333012330013120
5124334331201144000
62325215522521332
7153442014624341
oct21517706740730
94258686028322
101213313303000
11428621801747
12177194206248
138a5518645a6
1442a2072b0c8
15218638c7dd5
hex11a7f1bc1d8

1213313303000 has 128 divisors (see below), whose sum is σ = 2868935509440. Its totient is φ = 480240000000.

The previous prime is 1213313302991. The next prime is 1213313303009. The reversal of 1213313303000 is 3033133121.

It is an interprime number because it is at equal distance from previous prime (1213313302991) and next prime (1213313303009).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213313303009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303098999 + ... + 303103001.

Almost surely, 21213313303000 is an apocalyptic number.

1213313303000 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 1213313303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434467754720).

1213313303000 is an abundant number, since it is smaller than the sum of its proper divisors (1655622206440).

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

1213313303000 is a wasteful number, since it uses less digits than its factorization.

1213313303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1213313303000 its reverse (3033133121), we get a palindrome (1216346436121).

The spelling of 1213313303000 in words is "one trillion, two hundred thirteen billion, three hundred thirteen million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 3001 4003 4040 5050 6002 8006 10100 12004 12625 15005 16012 20015 20200 24008 25250 30010 32024 40030 50500 60020 75025 80060 100075 101000 120040 150050 160120 200150 300100 303101 375125 400300 404303 500375 600200 606202 750250 800600 808606 1000750 1212404 1500500 1515505 1617212 2001500 2021515 2424808 3001000 3031010 3234424 4003000 4043030 6062020 7577525 8086060 10107575 12013003 12124040 15155050 16172120 20215150 24026006 30310100 37887625 40430300 48052012 50537875 60065015 60620200 75775250 80860600 96104024 101075750 120130030 151550500 202151500 240260060 300325075 303101000 404303000 480520120 600650150 1201300300 1213313303 1501625375 2402600600 2426626606 3003250750 4853253212 6006501500 6066566515 9706506424 12013003000 12133133030 24266266060 30332832575 48532532120 60665665150 121331330300 151664162875 242662660600 303328325750 606656651500 1213313303000