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1233130313020 = 2254359101240623
BaseRepresentation
bin10001111100011100010…
…010110101010100111100
311100212220222020101112211
4101330130102311110330
5130200422330004040
62342254154110204
7155043055500634
oct21743422652474
94325828211484
101233130313020
11435a70a06681
1217aba4a1b364
138c38c35c418
14439805bb6c4
15221235498ea
hex11f1c4b553c

1233130313020 has 96 divisors (see below), whose sum is σ = 2721399690240. Its totient is φ = 468924153600.

The previous prime is 1233130313017. The next prime is 1233130313033. The reversal of 1233130313020 is 203130313321.

It is a super-2 number, since 2×12331303130202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1233130312982 and 1233130313000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5004429 + ... + 5245051.

It is an arithmetic number, because the mean of its divisors is an integer number (28347913440).

Almost surely, 21233130313020 is an apocalyptic number.

1233130313020 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 1233130313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360699845120).

1233130313020 is an abundant number, since it is smaller than the sum of its proper divisors (1488269377220).

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

1233130313020 is a wasteful number, since it uses less digits than its factorization.

1233130313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240835 (or 240833 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1233130313020 its reverse (203130313321), we get a palindrome (1436260626341).

The spelling of 1233130313020 in words is "one trillion, two hundred thirty-three billion, one hundred thirty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 43 59 86 101 118 172 202 215 236 295 404 430 505 590 860 1010 1180 2020 2537 4343 5074 5959 8686 10148 11918 12685 17372 21715 23836 25370 29795 43430 50740 59590 86860 119180 240623 256237 481246 512474 962492 1024948 1203115 1281185 2406230 2562370 4812460 5124740 10346789 14196757 20693578 24302923 28393514 41387156 48605846 51733945 56787028 70983785 97211692 103467890 121514615 141967570 206935780 243029230 283935140 486058460 610460551 1045025689 1220921102 1433872457 2090051378 2441842204 2867744914 3052302755 4180102756 5225128445 5735489828 6104605510 7169362285 10450256890 12209211020 14338724570 20900513780 28677449140 61656515651 123313031302 246626062604 308282578255 616565156510 1233130313020