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2130021231100 = 2252718146735999
BaseRepresentation
bin11110111111101111001…
…010001010100111111100
321112121221211201202011221
4132333233022022213330
5234344240413343400
64310303535123124
7306613624506460
oct36775712124774
97477854652157
102130021231100
11751378501184
122a498b9734a4
13125b24960789
1475144ac44a0
153a617b36c1a
hex1efef28a9fc

2130021231100 has 144 divisors (see below), whose sum is σ = 5323159296000. Its totient is φ = 724682937600.

The previous prime is 2130021231071. The next prime is 2130021231109. The reversal of 2130021231100 is 11321200312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130021231109) 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, 59150901 + ... + 59186899.

It is an arithmetic number, because the mean of its divisors is an integer number (36966384000).

Almost surely, 22130021231100 is an apocalyptic number.

2130021231100 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 2130021231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661579648000).

2130021231100 is an abundant number, since it is smaller than the sum of its proper divisors (3193138064900).

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

2130021231100 is a wasteful number, since it uses less digits than its factorization.

2130021231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36668 (or 36661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2130021231100 its reverse (11321200312), we get a palindrome (2141342431412).

The spelling of 2130021231100 in words is "two trillion, one hundred thirty billion, twenty-one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 181 350 362 467 700 724 905 934 1267 1810 1868 2335 2534 3269 3620 4525 4670 5068 6335 6538 9050 9340 11675 12670 13076 16345 18100 23350 25340 31675 32690 35999 46700 63350 65380 71998 81725 84527 126700 143996 163450 169054 179995 251993 326900 338108 359990 422635 503986 591689 719980 845270 899975 1007972 1183378 1259965 1690540 1799950 2113175 2366756 2519930 2958445 3599900 4226350 5039860 5916890 6299825 6515819 8452700 11833780 12599650 13031638 14792225 16811533 25199300 26063276 29584450 32579095 33623066 45610733 59168900 65158190 67246132 84057665 91221466 117680731 130316380 162895475 168115330 182442932 228053665 235361462 325790950 336230660 420288325 456107330 470722924 588403655 651581900 840576650 912214660 1140268325 1176807310 1681153300 2280536650 2353614620 2942018275 3042887473 4561073300 5884036550 6085774946 11768073100 12171549892 15214437365 21300212311 30428874730 42600424622 60857749460 76072186825 85200849244 106501061555 152144373650 213002123110 304288747300 426004246220 532505307775 1065010615550 2130021231100