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2130210222300 = 2233527331076353
BaseRepresentation
bin11110111111111010011…
…011000111000011011100
321112122110000100111101000
4132333322123013003130
5234400132304103200
64310334405550300
7306621411063306
oct36777233070334
97478400314330
102130210222300
11751465155056
122a4a23115390
13125b54b61ca4
1475161c3c976
153a629519300
hex1effa6c70dc

2130210222300 has 144 divisors (see below), whose sum is σ = 6857580496480. Its totient is φ = 567280558080.

The previous prime is 2130210222289. The next prime is 2130210222307. The reversal of 2130210222300 is 32220120312.

2130210222300 is a `hidden beast` number, since 2 + 130 + 2 + 10 + 222 + 300 = 666.

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 (2130210222307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440924 + ... + 2517276.

Almost surely, 22130210222300 is an apocalyptic number.

2130210222300 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 2130210222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428790248240).

2130210222300 is an abundant number, since it is smaller than the sum of its proper divisors (4727370274180).

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

2130210222300 is a wasteful number, since it uses less digits than its factorization.

2130210222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077109 (or 1077096 counting only the distinct ones).

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

Adding to 2130210222300 its reverse (32220120312), we get a palindrome (2162430342612).

The spelling of 2130210222300 in words is "two trillion, one hundred thirty billion, two hundred ten million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 733 900 1350 1466 2199 2700 2932 3665 4398 6597 7330 8796 10995 13194 14660 18325 19791 21990 26388 32985 36650 39582 43980 54975 65970 73300 79164 98955 109950 131940 164925 197910 219900 329850 395820 494775 659700 989550 1076353 1979100 2152706 3229059 4305412 5381765 6458118 9687177 10763530 12916236 16145295 19374354 21527060 26908825 29061531 32290590 38748708 48435885 53817650 58123062 64581180 80726475 96871770 107635300 116246124 145307655 161452950 193743540 242179425 290615310 322905900 484358850 581230620 726538275 788966749 968717700 1453076550 1577933498 2366900247 2906153100 3155866996 3944833745 4733800494 7100700741 7889667490 9467600988 11834501235 14201401482 15779334980 19724168725 21302102223 23669002470 28402802964 35503503705 39448337450 42604204446 47338004940 59172506175 71007007410 78896674900 85208408892 106510511115 118345012350 142014014820 177517518525 213021022230 236690024700 355035037050 426042044460 532552555575 710070074100 1065105111150 2130210222300