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2102010455440 = 245724312470399
BaseRepresentation
bin11110100101101001100…
…101100010010110010000
321102221122201111220121101
4132211221211202112100
5233414404134033230
64245352243034144
7304602531032500
oct36455145422620
97387581456541
102102010455440
11740504114905
1229b47306b954
131232ac73c0cc
1473a4892ba00
1539a28992aca
hex1e969962590

2102010455440 has 120 divisors (see below), whose sum is σ = 5817291955200. Its totient is φ = 703929026304.

The previous prime is 2102010455431. The next prime is 2102010455449. The reversal of 2102010455440 is 445540102012.

It is an interprime number because it is at equal distance from previous prime (2102010455431) and next prime (2102010455449).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2102010455399 and 2102010455408.

It is not an unprimeable number, because it can be changed into a prime (2102010455449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6066640 + ... + 6403759.

It is an arithmetic number, because the mean of its divisors is an integer number (48477432960).

Almost surely, 22102010455440 is an apocalyptic number.

2102010455440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102010455440 is an abundant number, since it is smaller than the sum of its proper divisors (3715281499760).

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

2102010455440 is a wasteful number, since it uses less digits than its factorization.

2102010455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470469 (or 12470456 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 2102010455440 its reverse (445540102012), we get a palindrome (2547550557452).

The spelling of 2102010455440 in words is "two trillion, one hundred two billion, ten million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 49 56 70 80 86 98 112 140 172 196 215 245 280 301 344 392 430 490 560 602 688 784 860 980 1204 1505 1720 1960 2107 2408 3010 3440 3920 4214 4816 6020 8428 10535 12040 16856 21070 24080 33712 42140 84280 168560 12470399 24940798 49881596 62351995 87292793 99763192 124703990 174585586 199526384 249407980 349171172 436463965 498815960 536227157 611049551 698342344 872927930 997631920 1072454314 1222099102 1396684688 1745855860 2144908628 2444198204 2681135785 3055247755 3491711720 3753590099 4289817256 4888396408 5362271570 6110495510 6983423440 7507180198 8579634512 9776792816 10724543140 12220991020 15014360396 18767950495 21449086280 24441982040 26275130693 30028720792 37535900990 42898172560 48883964080 52550261386 60057441584 75071801980 105100522772 131375653465 150143603960 210201045544 262751306930 300287207920 420402091088 525502613860 1051005227720 2102010455440