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102421314142340 = 22541732207775267
BaseRepresentation
bin10111010010011011010010…
…000011000000000010000100
3111102122101022111001100212212
4113102123102003000002010
5101411032322410023330
61001455411400002552
730400460433600104
oct2722332203000204
9442571274040785
10102421314142340
112a6a86a9795a26
12b5a1b2aa60458
13451c399a4039b
141b4130a4ad204
15bc9330497295
hex5d26d20c0084

102421314142340 has 96 divisors (see below), whose sum is σ = 223450447094784. Its totient is φ = 39403855779840.

The previous prime is 102421314142313. The next prime is 102421314142349. The reversal of 102421314142340 is 43241413124201.

It is a junction number, because it is equal to n+sod(n) for n = 102421314142297 and 102421314142306.

It is not an unprimeable number, because it can be changed into a prime (102421314142349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131723387 + ... + 132498653.

It is an arithmetic number, because the mean of its divisors is an integer number (2327608823904).

Almost surely, 2102421314142340 is an apocalyptic number.

102421314142340 is a gapful number since it is divisible by the number (10) 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 102421314142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111725223547392).

102421314142340 is an abundant number, since it is smaller than the sum of its proper divisors (121029132952444).

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

102421314142340 is a wasteful number, since it uses less digits than its factorization.

102421314142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777597 (or 777595 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 102421314142340 its reverse (43241413124201), we get a palindrome (145662727266541).

The spelling of 102421314142340 in words is "one hundred two trillion, four hundred twenty-one billion, three hundred fourteen million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2207 2993 4414 5986 8828 11035 11972 14965 22070 29930 44140 59860 90487 161111 180974 322222 361948 452435 644444 775267 805555 904870 1550534 1611110 1809740 3101068 3222220 3876335 6605551 7752670 13211102 15505340 26422204 31785947 33027755 56594491 63571894 66055510 113188982 127143788 132111020 158929735 226377964 282972455 317859470 565944910 635718940 1131889820 1711014269 2320374131 3422028538 4640748262 6844057076 8555071345 9281496524 11601870655 17110142690 23203741310 34220285380 46407482620 70151585029 124904041637 140303170058 249808083274 280606340116 350757925145 499616166548 624520208185 701515850290 1249040416370 1403031700580 2498080832740 5121065707117 10242131414234 20484262828468 25605328535585 51210657071170 102421314142340