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1330033222100 = 2252112704315607
BaseRepresentation
bin10011010110101100001…
…010000110000111010100
311201011001022011012202102
4103112230022012013110
5133242402001101400
62455001523501232
7165043314565562
oct23265412060724
94634038135672
101330033222100
11473078097500
12195929527818
1398563321c8b
14485341a0a32
15248e59129d5
hex135ac2861d4

1330033222100 has 108 divisors (see below), whose sum is σ = 3173057765472. Its totient is φ = 483548788800.

The previous prime is 1330033222073. The next prime is 1330033222121. The reversal of 1330033222100 is 12223300331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 85212497 + ... + 85228103.

Almost surely, 21330033222100 is an apocalyptic number.

1330033222100 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 1330033222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586528882736).

1330033222100 is an abundant number, since it is smaller than the sum of its proper divisors (1843024543372).

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

1330033222100 is a wasteful number, since it uses less digits than its factorization.

1330033222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22686 (or 22668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1330033222100 its reverse (12223300331), we get a palindrome (1342256522431).

The spelling of 1330033222100 in words is "one trillion, three hundred thirty billion, thirty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 7043 12100 14086 15607 28172 31214 35215 62428 70430 77473 78035 140860 154946 156070 171677 176075 309892 312140 343354 352150 387365 390175 686708 704300 774730 780350 852203 858385 1549460 1560700 1704406 1716770 1888447 1936825 3408812 3433540 3776894 3873650 4261015 4291925 7553788 7747300 8522030 8583850 9442235 17044060 17167700 18884470 21305075 37768940 42610150 47211175 85220300 94422350 109920101 188844700 219840202 439680404 549600505 1099201010 1209121111 2198402020 2418242222 2748002525 4836484444 5496005050 6045605555 10992010100 12091211110 13300332221 24182422220 26600664442 30228027775 53201328884 60456055550 66501661105 120912111100 133003322210 266006644420 332508305525 665016611050 1330033222100