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1331212132200 = 2335218111225117
BaseRepresentation
bin10011010111110010011…
…011010001111101101000
311201021002110111001101110
4103113302123101331220
5133302310301212300
62455314515550320
7165114451265346
oct23276233217550
94637073431343
101331212132200
114736225a9075
12195bb82bb3a0
13986c0640c12
14486069a0996
1524964184550
hex135f26d1f68

1331212132200 has 96 divisors (see below), whose sum is σ = 4129039697760. Its totient is φ = 354793593600.

The previous prime is 1331212132193. The next prime is 1331212132247. The reversal of 1331212132200 is 22312121331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474042 + ... + 1699158.

It is an arithmetic number, because the mean of its divisors is an integer number (43010830185).

Almost surely, 21331212132200 is an apocalyptic number.

1331212132200 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 1331212132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064519848880).

1331212132200 is an abundant number, since it is smaller than the sum of its proper divisors (2797827565560).

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

1331212132200 is a wasteful number, since it uses less digits than its factorization.

1331212132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226947 (or 1226938 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1331212132200 its reverse (22312121331), we get a palindrome (1353524253531).

The spelling of 1331212132200 in words is "one trillion, three hundred thirty-one billion, two hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1811 3622 5433 7244 9055 10866 14488 18110 21732 27165 36220 43464 45275 54330 72440 90550 108660 135825 181100 217320 271650 362200 543300 1086600 1225117 2450234 3675351 4900468 6125585 7350702 9800936 12251170 14701404 18376755 24502340 29402808 30627925 36753510 49004680 61255850 73507020 91883775 122511700 147014040 183767550 245023400 367535100 735070200 2218686887 4437373774 6656060661 8874747548 11093434435 13312121322 17749495096 22186868870 26624242644 33280303305 44373737740 53248485288 55467172175 66560606610 88747475480 110934344350 133121213220 166401516525 221868688700 266242426440 332803033050 443737377400 665606066100 1331212132200