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2133212320100 = 2252199391127409
BaseRepresentation
bin11111000010101101010…
…111001101000101100100
321112221012020022212100102
4133002231113031011210
5234422304323220400
64311552331203232
7310055663354111
oct37025527150544
97487166285312
102133212320100
11752765818614
122a55205a6518
13126212acc314
147536882d908
153a752d749d5
hex1f0ad5cd164

2133212320100 has 72 divisors (see below), whose sum is σ = 4653691728000. Its totient is φ = 848749017600.

The previous prime is 2133212320093. The next prime is 2133212320157. The reversal of 2133212320100 is 10232123312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77815196 + ... + 77842604.

Almost surely, 22133212320100 is an apocalyptic number.

2133212320100 is a gapful number since it is divisible by the number (20) 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 2133212320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326845864000).

2133212320100 is an abundant number, since it is smaller than the sum of its proper divisors (2520479407900).

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

2133212320100 is a wasteful number, since it uses less digits than its factorization.

2133212320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31533 (or 31526 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2133212320100 its reverse (10232123312), we get a palindrome (2143444443412).

The spelling of 2133212320100 in words is "two trillion, one hundred thirty-three billion, two hundred twelve million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1990 3911 3980 4975 7822 9950 15644 19555 19900 27409 39110 54818 78220 97775 109636 137045 195550 274090 391100 548180 685225 778289 1370450 1556578 2740900 3113156 3891445 5454391 7782890 10908782 15565780 19457225 21817564 27271955 38914450 54543910 77828900 107196599 109087820 136359775 214393198 272719550 428786396 535982995 545439100 1071965990 2143931980 2679914975 5359829950 10719659900 21332123201 42664246402 85328492804 106660616005 213321232010 426642464020 533303080025 1066606160050 2133212320100