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1330201214100 = 22325211134363759
BaseRepresentation
bin10011010110110110001…
…010111011110010010100
311201011111000021002110100
4103112312022323302110
5133243223002322400
62455030324254100
7165050424522303
oct23266612736224
94634430232410
101330201214100
114731539a8370
12195975841330
139858c080325
144854c61043a
1524905548100
hex135b62bbc94

1330201214100 has 108 divisors (see below), whose sum is σ = 4548482003520. Its totient is φ = 322473019200.

The previous prime is 1330201214093. The next prime is 1330201214117. The reversal of 1330201214100 is 14121020331.

1330201214100 is a `hidden beast` number, since 1 + 3 + 30 + 201 + 21 + 410 + 0 = 666.

It is a super-2 number, since 2×13302012141002 (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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67171980 + ... + 67191779.

Almost surely, 21330201214100 is an apocalyptic number.

1330201214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330201214100 is an abundant number, since it is smaller than the sum of its proper divisors (3218280789420).

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

1330201214100 is a wasteful number, since it uses less digits than its factorization.

1330201214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134363790 (or 134363780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1330201214100 its reverse (14121020331), we get a palindrome (1344322234431).

The spelling of 1330201214100 in words is "one trillion, three hundred thirty billion, two hundred one million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 134363759 268727518 403091277 537455036 671818795 806182554 1209273831 1343637590 1478001349 1612365108 2015456385 2418547662 2687275180 2956002698 3359093975 4030912770 4434004047 4837095324 5912005396 6046369155 6718187950 7390006745 8061825540 8868008094 10077281925 12092738310 13302012141 13436375900 14780013490 17736016188 20154563850 22170020235 24185476620 26604024282 29560026980 30231845775 36950033725 40309127700 44340040470 53208048564 60463691550 66510060705 73900067450 88680080940 110850101175 120927383100 133020121410 147800134900 221700202350 266040242820 332550303525 443400404700 665100607050 1330201214100