Search a number
-
+
21130320402 = 23229271149371
BaseRepresentation
bin10011101011011101…
…110001101000010010
32000112121102111100100
4103223131301220102
5321233330223102
613412424033230
71345425521442
oct235335615022
960477374310
1021130320402
118a63573514
124118602816
131cb9913389
141046478122
1583a0e0a1c
hex4eb771a12

21130320402 has 48 divisors (see below), whose sum is σ = 47536145280. Its totient is φ = 6775423200.

The previous prime is 21130320401. The next prime is 21130320433. The reversal of 21130320402 is 20402303112.

21130320402 is a `hidden beast` number, since 211 + 30 + 3 + 20 + 402 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21130320401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66777 + ... + 216147.

It is an arithmetic number, because the mean of its divisors is an integer number (990336360).

Almost surely, 221130320402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130320402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23768072640).

21130320402 is an abundant number, since it is smaller than the sum of its proper divisors (26405824878).

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

21130320402 is a wasteful number, since it uses less digits than its factorization.

21130320402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149679 (or 149676 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21130320402 its reverse (20402303112), we get a palindrome (41532623514).

The spelling of 21130320402 in words is "twenty-one billion, one hundred thirty million, three hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 271 522 542 813 1626 2439 4878 7859 15718 23577 47154 70731 141462 149371 298742 448113 896226 1344339 2688678 4331759 8663518 12995277 25990554 38985831 40479541 77971662 80959082 121438623 242877246 364315869 728631738 1173906689 2347813378 3521720067 7043440134 10565160201 21130320402