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21000112002200 = 23522412711607701
BaseRepresentation
bin1001100011001011110000…
…01101110101010010011000
32202100120221220122020021102
410301211320031311102120
510223031212133032300
6112355152425130532
74265131231541642
oct461457015652230
982316856566242
1021000112002200
116767108831931
122431b67029a48
13b943c0836066
145285a74db892
152663db3730d5
hex131978375498

21000112002200 has 96 divisors (see below), whose sum is σ = 49208800048320. Its totient is φ = 8334316800000.

The previous prime is 21000112002143. The next prime is 21000112002217. The reversal of 21000112002200 is 220021100012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12258350 + ... + 13866050.

It is an arithmetic number, because the mean of its divisors is an integer number (512591667170).

Almost surely, 221000112002200 is an apocalyptic number.

21000112002200 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 21000112002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24604400024160).

21000112002200 is an abundant number, since it is smaller than the sum of its proper divisors (28208688046120).

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

21000112002200 is a wasteful number, since it uses less digits than its factorization.

21000112002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608229 (or 1608220 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21000112002200 its reverse (220021100012), we get a palindrome (21220133102212).

The spelling of 21000112002200 in words is "twenty-one trillion, one hundred twelve million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 271 482 542 964 1084 1205 1355 1928 2168 2410 2710 4820 5420 6025 6775 9640 10840 12050 13550 24100 27100 48200 54200 65311 130622 261244 326555 522488 653110 1306220 1607701 1632775 2612440 3215402 3265550 6430804 6531100 8038505 12861608 13062200 16077010 32154020 40192525 64308040 80385050 160770100 321540200 387455941 435686971 774911882 871373942 1549823764 1742747884 1937279705 2178434855 3099647528 3485495768 3874559410 4356869710 7749118820 8713739420 9686398525 10892174275 15498237640 17427478840 19372797050 21784348550 38745594100 43568697100 77491188200 87137394200 105000560011 210001120022 420002240044 525002800055 840004480088 1050005600110 2100011200220 2625014000275 4200022400440 5250028000550 10500056001100 21000112002200