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1331023220100 = 223352770424509
BaseRepresentation
bin10011010111100111001…
…010101000110110000100
311201020121022000022201000
4103113213022220312010
5133301413421020400
62455244050533300
7165106665461250
oct23274712506604
94636538008630
101331023220100
114735359a9672
12195b64b97230
1398690469702
14485c9867260
15249527ba600
hex135e72a8d84

1331023220100 has 144 divisors (see below), whose sum is σ = 4890277974400. Its totient is φ = 304233874560.

The previous prime is 1331023219921. The next prime is 1331023220143. The reversal of 1331023220100 is 10223201331.

1331023220100 is a `hidden beast` number, since 1 + 3 + 310 + 232 + 20 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35193355 + ... + 35231154.

Almost surely, 21331023220100 is an apocalyptic number.

1331023220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331023220100 is an abundant number, since it is smaller than the sum of its proper divisors (3559254754300).

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

1331023220100 is a wasteful number, since it uses less digits than its factorization.

1331023220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70424539 (or 70424526 counting only the distinct ones).

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

Adding to 1331023220100 its reverse (10223201331), we get a palindrome (1341246421431).

The spelling of 1331023220100 in words is "one trillion, three hundred thirty-one billion, twenty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 70424509 140849018 211273527 281698036 352122545 422547054 492971563 633820581 704245090 845094108 985943126 1056367635 1267641162 1408490180 1478914689 1760612725 1901461743 1971886252 2112735270 2464857815 2535282324 2957829378 3169102905 3521225450 3802923486 4225470540 4436744067 4929715630 5281838175 5915658756 6338205810 7042450900 7394573445 7605846972 8873488134 9507308715 9859431260 10563676350 12324289075 12676411620 13310232201 14789146890 15845514525 17746976268 19014617430 21127352700 22183720335 24648578150 26620464402 29578293780 31691029050 36972867225 38029234860 44367440670 47536543575 49297156300 53240928804 63382058100 66551161005 73945734450 88734881340 95073087150 110918601675 133102322010 147891468900 190146174300 221837203350 266204644020 332755805025 443674406700 665511610050 1331023220100