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21530050200 = 23325229340823
BaseRepresentation
bin10100000011010010…
…100111111010011000
32001120110120212112200
4110003102213322120
5323043143101300
613520223410200
71361351256441
oct240322477230
961513525480
1021530050200
11914917441a
12420a453960
13205168b999
1410835ac2c8
1586024e200
hex5034a7e98

21530050200 has 144 divisors (see below), whose sum is σ = 72553637520. Its totient is φ = 5721611520.

The previous prime is 21530050189. The next prime is 21530050237. The reversal of 21530050200 is 205003512.

It is a happy number.

It is a super-2 number, since 2×215300502002 (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506989 + ... + 547811.

It is an arithmetic number, because the mean of its divisors is an integer number (503844705).

Almost surely, 221530050200 is an apocalyptic number.

21530050200 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 21530050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36276818760).

21530050200 is an abundant number, since it is smaller than the sum of its proper divisors (51023587320).

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

21530050200 is a wasteful number, since it uses less digits than its factorization.

21530050200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41138 (or 41126 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 21530050200 its reverse (205003512), we get a palindrome (21735053712).

The spelling of 21530050200 in words is "twenty-one billion, five hundred thirty million, fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 293 300 360 450 586 600 879 900 1172 1465 1758 1800 2344 2637 2930 3516 4395 5274 5860 7032 7325 8790 10548 11720 13185 14650 17580 21096 21975 26370 29300 35160 40823 43950 52740 58600 65925 81646 87900 105480 122469 131850 163292 175800 204115 244938 263700 326584 367407 408230 489876 527400 612345 734814 816460 979752 1020575 1224690 1469628 1632920 1837035 2041150 2449380 2939256 3061725 3674070 4082300 4898760 6123450 7348140 8164600 9185175 11961139 12246900 14696280 18370350 23922278 24493800 35883417 36740700 47844556 59805695 71766834 73481400 95689112 107650251 119611390 143533668 179417085 215300502 239222780 287067336 299028475 358834170 430601004 478445560 538251255 598056950 717668340 861202008 897085425 1076502510 1196113900 1435336680 1794170850 2153005020 2392227800 2691256275 3588341700 4306010040 5382512550 7176683400 10765025100 21530050200