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21202122330 = 2335313138093
BaseRepresentation
bin10011101111101111…
…101011011001011010
32000201121112102002000
4103233233223121122
5321410220403310
613423511021430
71350260031504
oct235757533132
960647472060
1021202122330
118aa0055354
12413866a876
131ccb76311c
141051c08d74
158415754c0
hex4efbeb65a

21202122330 has 128 divisors (see below), whose sum is σ = 58556528640. Its totient is φ = 5453360640.

The previous prime is 21202122317. The next prime is 21202122341. The reversal of 21202122330 is 3322120212.

21202122330 is a `hidden beast` number, since 2 + 120 + 212 + 2 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2615764 + ... + 2623856.

It is an arithmetic number, because the mean of its divisors is an integer number (457472880).

Almost surely, 221202122330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278264320).

21202122330 is an abundant number, since it is smaller than the sum of its proper divisors (37354406310).

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

21202122330 is a wasteful number, since it uses less digits than its factorization.

21202122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8447 counting only the distinct ones).

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

Adding to 21202122330 its reverse (3322120212), we get a palindrome (24524242542).

The spelling of 21202122330 in words is "twenty-one billion, two hundred two million, one hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 313 465 558 626 837 930 939 1395 1565 1674 1878 2790 2817 3130 4185 4695 5634 8093 8370 8451 9390 9703 14085 16186 16902 19406 24279 28170 29109 40465 42255 48515 48558 58218 72837 80930 84510 87327 97030 121395 145545 145674 174654 218511 242790 250883 261981 291090 364185 436635 437022 501766 523962 728370 752649 873270 1092555 1254415 1309905 1505298 2185110 2257947 2508830 2533109 2619810 3763245 4515894 5066218 6773841 7526490 7599327 11289735 12665545 13547682 15198654 22579470 22797981 25331090 33869205 37996635 45595962 67738410 68393943 75993270 78526379 113989905 136787886 157052758 227979810 235579137 341969715 392631895 471158274 683939430 706737411 785263790 1177895685 1413474822 2120212233 2355791370 3533687055 4240424466 7067374110 10601061165 21202122330