Search a number
-
+
21122030300 = 22527471813547
BaseRepresentation
bin10011101010111110…
…001001101011011100
32000112000211022110112
4103222332021223130
5321224214432200
613411530225152
71345265203160
oct235276115334
960460738415
1021122030300
118a59920a98
1241158851b8
131cb7c9cba7
14104531aca0
15839504535
hex4eaf89adc

21122030300 has 144 divisors (see below), whose sum is σ = 53807889408. Its totient is φ = 7046611200.

The previous prime is 21122030291. The next prime is 21122030323. The reversal of 21122030300 is 303022112.

It is a happy number.

It is a super-2 number, since 2×211220303002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5953127 + ... + 5956673.

Almost surely, 221122030300 is an apocalyptic number.

21122030300 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 21122030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26903944704).

21122030300 is an abundant number, since it is smaller than the sum of its proper divisors (32685859108).

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

21122030300 is a wasteful number, since it uses less digits than its factorization.

21122030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21122030300 its reverse (303022112), we get a palindrome (21425052412).

The spelling of 21122030300 in words is "twenty-one billion, one hundred twenty-two million, thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 181 188 235 329 350 362 470 658 700 724 905 940 1175 1267 1316 1645 1810 2350 2534 3290 3547 3620 4525 4700 5068 6335 6580 7094 8225 8507 9050 12670 14188 16450 17014 17735 18100 24829 25340 31675 32900 34028 35470 42535 49658 59549 63350 70940 85070 88675 99316 119098 124145 126700 166709 170140 177350 212675 238196 248290 297745 333418 354700 425350 496580 595490 620725 642007 666836 833545 850700 1166963 1190980 1241450 1284014 1488725 1667090 2333926 2482900 2568028 2977450 3210035 3334180 4167725 4494049 4667852 5834815 5954900 6420070 8335450 8988098 11669630 12840140 16050175 16670900 17976196 22470245 23339260 29174075 30174329 32100350 44940490 58348150 60348658 64200700 89880980 112351225 116696300 120697316 150871645 211220303 224702450 301743290 422440606 449404900 603486580 754358225 844881212 1056101515 1508716450 2112203030 3017432900 4224406060 5280507575 10561015150 21122030300