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2102102423300 = 22521121109315661
BaseRepresentation
bin11110100101101111000…
…100010111011100000100
321102221220010120100210102
4132211233010113130010
5233420101210021200
64245405330143232
7304605025532405
oct36455704273404
97387803510712
102102102423300
1174055101a700
1229b499a21b18
131232c57cc969
1473a56c2b9ac
1539a31aac6d5
hex1e96f117704

2102102423300 has 108 divisors (see below), whose sum is σ = 5014720774308. Its totient is φ = 764283168000.

The previous prime is 2102102423287. The next prime is 2102102423327. The reversal of 2102102423300 is 33242012012.

It can be written as a sum of positive squares in 6 ways, for example, as 296647979716 + 1805454443584 = 544654^2 + 1343672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 134217470 + ... + 134233130.

Almost surely, 22102102423300 is an apocalyptic number.

2102102423300 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 2102102423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507360387154).

2102102423300 is an abundant number, since it is smaller than the sum of its proper divisors (2912618351008).

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

2102102423300 is a wasteful number, since it uses less digits than its factorization.

2102102423300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26790 (or 26772 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2102102423300 its reverse (33242012012), we get a palindrome (2135344435312).

The spelling of 2102102423300 in words is "two trillion, one hundred two billion, one hundred two million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 11093 12100 15661 22186 31322 44372 55465 62644 78305 110930 122023 156610 172271 221860 244046 277325 313220 344542 391525 488092 554650 610115 689084 783050 861355 1109300 1220230 1342253 1566100 1722710 1894981 2440460 2684506 3050575 3445420 3789962 4306775 5369012 6101150 6711265 7579924 8613550 9474905 12202300 13422530 17227100 18949810 26845060 33556325 37899620 47374525 67112650 94749050 134225300 173727473 189498100 347454946 694909892 868637365 1737274730 1911002203 3474549460 3822004406 4343186825 7644008812 8686373650 9555011015 17372747300 19110022030 21021024233 38220044060 42042048466 47775055075 84084096932 95550110150 105105121165 191100220300 210210242330 420420484660 525525605825 1051051211650 2102102423300