Search a number
-
+
21213030132 = 223271371973119
BaseRepresentation
bin10011110000011001…
…010010011011110100
32000202101001120202200
4103300121102123310
5321421013431012
613424540504500
71350451531620
oct236031223364
960671046680
1021213030132
118aa6225568
12414024b130
132000ab1c48
141053448180
158424cc3dc
hex4f06526f4

21213030132 has 144 divisors (see below), whose sum is σ = 62062640640. Its totient is φ = 5984165376.

The previous prime is 21213030131. The next prime is 21213030133. The reversal of 21213030132 is 23103031212.

It is an interprime number because it is at equal distance from previous prime (21213030131) and next prime (21213030133).

It is a super-2 number, since 2×212130301322 (a number of 21 digits) contains 22 as substring.

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 (21213030131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6799669 + ... + 6802787.

It is an arithmetic number, because the mean of its divisors is an integer number (430990560).

Almost surely, 221213030132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31031320320).

21213030132 is an abundant number, since it is smaller than the sum of its proper divisors (40849610508).

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

21213030132 is a wasteful number, since it uses less digits than its factorization.

21213030132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3465 counting only the distinct ones).

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

Adding to 21213030132 its reverse (23103031212), we get a palindrome (44316061344).

The spelling of 21213030132 in words is "twenty-one billion, two hundred thirteen million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 197 252 274 394 411 548 591 788 822 959 1182 1233 1379 1644 1773 1918 2364 2466 2758 2877 3119 3546 3836 4137 4932 5516 5754 6238 7092 8274 8631 9357 11508 12411 12476 16548 17262 18714 21833 24822 26989 28071 34524 37428 43666 49644 53978 56142 65499 80967 87332 107956 112284 130998 161934 188923 196497 242901 261996 323868 377846 392994 427303 485802 566769 614443 755692 785988 854606 971604 1133538 1228886 1281909 1700307 1709212 1843329 2267076 2457772 2563818 2991121 3400614 3686658 3845727 4301101 5127636 5529987 5982242 6801228 7373316 7691454 8602202 8973363 11059974 11964484 12903303 15382908 17204404 17946726 22119948 25806606 26920089 35893452 38709909 51613212 53840178 77419818 84178691 107680356 154839636 168357382 252536073 336714764 505072146 589250837 757608219 1010144292 1178501674 1515216438 1767752511 2357003348 3030432876 3535505022 5303257533 7071010044 10606515066 21213030132