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1312203023100 = 22325210631371593
BaseRepresentation
bin10011000110000101011…
…001010010001011111100
311122110000200111020220200
4103012011121102023330
5132444342433214400
62442452344443500
7163542420443244
oct23060531221374
94573020436820
101312203023100
11466558441052
12192392179590
1396981334278
1447722134b24
15242003eab00
hex131856522fc

1312203023100 has 108 divisors (see below), whose sum is σ = 4116899741136. Its totient is φ = 349591368960.

The previous prime is 1312203023093. The next prime is 1312203023111. The reversal of 1312203023100 is 13203022131.

1312203023100 is a `hidden beast` number, since 1 + 31 + 2 + 20 + 302 + 310 + 0 = 666.

It is a super-2 number, since 2×13122030231002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270904 + ... + 1642496.

Almost surely, 21312203023100 is an apocalyptic number.

1312203023100 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 1312203023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058449870568).

1312203023100 is an abundant number, since it is smaller than the sum of its proper divisors (2804696718036).

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

1312203023100 is a wasteful number, since it uses less digits than its factorization.

1312203023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372676 (or 1372666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312203023100 its reverse (13203022131), we get a palindrome (1325406045231).

The spelling of 1312203023100 in words is "one trillion, three hundred twelve billion, two hundred three million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1063 2126 3189 4252 5315 6378 9567 10630 12756 15945 19134 21260 26575 31890 38268 47835 53150 63780 79725 95670 106300 159450 191340 239175 318900 478350 956700 1371593 2743186 4114779 5486372 6857965 8229558 12344337 13715930 16459116 20573895 24688674 27431860 34289825 41147790 49377348 61721685 68579650 82295580 102869475 123443370 137159300 205738950 246886740 308608425 411477900 617216850 1234433700 1458003359 2916006718 4374010077 5832013436 7290016795 8748020154 13122030231 14580033590 17496040308 21870050385 26244060462 29160067180 36450083975 43740100770 52488120924 65610151155 72900167950 87480201540 109350251925 131220302310 145800335900 218700503850 262440604620 328050755775 437401007700 656101511550 1312203023100