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21134002100 = 22521929337963
BaseRepresentation
bin10011101011101011…
…110100011110110100
32000112212100112200112
4103223223310132310
5321240301031400
613413035002152
71345502024321
oct235353643664
960485315615
1021134002100
118a65658642
124119899358
131cba6020b3
141046b55b48
1583a5bb835
hex4ebaf47b4

21134002100 has 72 divisors (see below), whose sum is σ = 48440545440. Its totient is φ = 7981130880.

The previous prime is 21134002067. The next prime is 21134002177. The reversal of 21134002100 is 120043112.

It is a congruent number.

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, 537719 + ... + 575681.

Almost surely, 221134002100 is an apocalyptic number.

21134002100 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 21134002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24220272720).

21134002100 is an abundant number, since it is smaller than the sum of its proper divisors (27306543340).

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

21134002100 is a wasteful number, since it uses less digits than its factorization.

21134002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38289 (or 38282 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21134002100 its reverse (120043112), we get a palindrome (21254045212).

The spelling of 21134002100 in words is "twenty-one billion, one hundred thirty-four million, two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 293 380 475 586 950 1172 1465 1900 2930 5567 5860 7325 11134 14650 22268 27835 29300 37963 55670 75926 111340 139175 151852 189815 278350 379630 556700 721297 759260 949075 1442594 1898150 2885188 3606485 3796300 7212970 11123159 14425940 18032425 22246318 36064850 44492636 55615795 72129700 111231590 211340021 222463180 278078975 422680042 556157950 845360084 1056700105 1112315900 2113400210 4226800420 5283500525 10567001050 21134002100