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102442403420 = 22572385737123
BaseRepresentation
bin101111101101000001…
…0110000011001011100
3100210102101110021212122
41133122002300121130
53134300223402140
6115021132122112
710254422030120
oct1373202603134
9323371407778
10102442403420
113a49a07aa25
1217a2b906338
139877823b76
144d5b59b580
1529e8889ab5
hex17da0b065c

102442403420 has 96 divisors (see below), whose sum is σ = 256857689088. Its totient is φ = 33555912192.

The previous prime is 102442403411. The next prime is 102442403473. The reversal of 102442403420 is 24304244201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102442403420.

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, 2740979 + ... + 2778101.

It is an arithmetic number, because the mean of its divisors is an integer number (2675600928).

Almost surely, 2102442403420 is an apocalyptic number.

102442403420 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 102442403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128428844544).

102442403420 is an abundant number, since it is smaller than the sum of its proper divisors (154415285668).

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

102442403420 is a wasteful number, since it uses less digits than its factorization.

102442403420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38019 (or 38017 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 102442403420 its reverse (24304244201), we get a palindrome (126746647621).

The spelling of 102442403420 in words is "one hundred two billion, four hundred forty-two million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 857 1610 1714 3220 3428 4285 5999 8570 11998 17140 19711 23996 29995 37123 39422 59990 74246 78844 98555 119980 137977 148492 185615 197110 259861 275954 371230 394220 519722 551908 689885 742460 853829 1039444 1299305 1379770 1707658 2598610 2759540 3415316 4269145 5197220 5976803 8538290 11953606 17076580 23907212 29884015 31814411 59768030 63628822 119536060 127257644 159072055 222700877 318144110 445401754 636288220 731731453 890803508 1113504385 1463462906 2227008770 2926925812 3658657265 4454017540 5122120171 7317314530 10244240342 14634629060 20488480684 25610600855 51221201710 102442403420