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2102103122140 = 225773243784401
BaseRepresentation
bin11110100101101111000…
…111000010000011011100
321102221220011212212102101
4132211233013002003130
5233420101344402030
64245405353134444
7304605034503010
oct36455707020334
97387804785371
102102103122140
1174055145775a
1229b49a0ba424
131232c59b5a88
1473a56d70540
1539a31b997ca
hex1e96f1c20dc

2102103122140 has 96 divisors (see below), whose sum is σ = 5116316897664. Its totient is φ = 710548070400.

The previous prime is 2102103122107. The next prime is 2102103122173. The reversal of 2102103122140 is 412213012012.

It is an interprime number because it is at equal distance from previous prime (2102103122107) and next prime (2102103122173).

It is a super-2 number, since 2×21021031221402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24863940 + ... + 24948340.

It is an arithmetic number, because the mean of its divisors is an integer number (53294967684).

Almost surely, 22102103122140 is an apocalyptic number.

2102103122140 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 2102103122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558158448832).

2102103122140 is an abundant number, since it is smaller than the sum of its proper divisors (3014213775524).

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

2102103122140 is a wasteful number, since it uses less digits than its factorization.

2102103122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86927 (or 86925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2102103122140 its reverse (412213012012), we get a palindrome (2514316134152).

The spelling of 2102103122140 in words is "two trillion, one hundred two billion, one hundred three million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2437 2555 4874 5110 9748 10220 12185 17059 24370 34118 48740 68236 84401 85295 168802 170590 177901 337604 341180 355802 422005 590807 711604 844010 889505 1181614 1245307 1688020 1779010 2363228 2490614 2954035 3558020 4981228 5908070 6161273 6226535 11816140 12322546 12453070 24645092 24906140 30806365 43128911 61612730 86257822 123225460 172515644 205685237 215644555 411370474 431289110 822740948 862578220 1028426185 1439796659 2056852370 2879593318 4113704740 5759186636 7198983295 14397966590 15015022301 28795933180 30030044602 60060089204 75075111505 105105156107 150150223010 210210312214 300300446020 420420624428 525525780535 1051051561070 2102103122140