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2133321102 = 23211194113831
BaseRepresentation
bin111111100100111…
…1110010110001110
312111200012221101200
41333021332112032
513332112233402
6551404250330
7103602634023
oct17711762616
95450187350
102133321102
119a52277a0
124b65409a6
1327cc866a3
1416348154a
15c744a21c
hex7f27e58e

2133321102 has 96 divisors (see below), whose sum is σ = 5437635840. Its totient is φ = 597456000.

The previous prime is 2133321101. The next prime is 2133321137. The reversal of 2133321102 is 2011233312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133321101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147327 + ... + 161157.

It is an arithmetic number, because the mean of its divisors is an integer number (56642040).

Almost surely, 22133321102 is an apocalyptic number.

2133321102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133321102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718817920).

2133321102 is an abundant number, since it is smaller than the sum of its proper divisors (3304314738).

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

2133321102 is a wasteful number, since it uses less digits than its factorization.

2133321102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13910 (or 13907 counting only the distinct ones).

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

The square root of 2133321102 is about 46187.8891269129. The cubic root of 2133321102 is about 1287.3167192148.

Adding to 2133321102 its reverse (2011233312), we get a palindrome (4144554414).

The spelling of 2133321102 in words is "two billion, one hundred thirty-three million, three hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 41 57 66 82 99 114 123 171 198 209 246 342 369 418 451 627 738 779 902 1254 1353 1558 1881 2337 2706 3762 4059 4674 7011 8118 8569 13831 14022 17138 25707 27662 41493 51414 77121 82986 124479 152141 154242 248958 262789 304282 456423 525578 567071 788367 912846 1134142 1369269 1576734 1701213 2365101 2738538 2890679 3402426 4730202 5103639 5781358 6237781 8672037 10207278 10774349 12475562 17344074 18713343 21548698 26016111 32323047 37426686 52032222 56140029 64646094 96969141 112280058 118517839 193938282 237035678 355553517 711107034 1066660551 2133321102