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102020001020 = 22571018838171
BaseRepresentation
bin101111100000011011…
…1011010110011111100
3100202022221122000201022
41133000313122303330
53132414110013040
6114511202403312
710241102462210
oct1370067326374
9322287560638
10102020001020
113a2a26a3833
1217932360538
13980b16a812
144d1b444940
1529c174d6b5
hex17c0ddacfc

102020001020 has 96 divisors (see below), whose sum is σ = 247582573056. Its totient is φ = 34588512000.

The previous prime is 102020001011. The next prime is 102020001029. The reversal of 102020001020 is 20100020201.

It is an interprime number because it is at equal distance from previous prime (102020001011) and next prime (102020001029).

It is a junction number, because it is equal to n+sod(n) for n = 102020000989 and 102020001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020001029) 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, 12481535 + ... + 12489705.

It is an arithmetic number, because the mean of its divisors is an integer number (2578985136).

Almost surely, 2102020001020 is an apocalyptic number.

102020001020 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 102020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123791286528).

102020001020 is an abundant number, since it is smaller than the sum of its proper divisors (145562572036).

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

102020001020 is a wasteful number, since it uses less digits than its factorization.

102020001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102020001020 its reverse (20100020201), we get a palindrome (122120021221).

The spelling of 102020001020 in words is "one hundred two billion, twenty million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 883 1010 1414 1766 2020 2828 3532 3535 4415 6181 7070 8171 8830 12362 14140 16342 17660 24724 30905 32684 40855 57197 61810 81710 89183 114394 123620 163420 178366 228788 285985 356732 445915 571970 624281 825271 891830 1143940 1248562 1650542 1783660 2497124 3121405 3301084 4126355 5776897 6242810 7214993 8252710 11553794 12485620 14429986 16505420 23107588 28859972 28884485 36074965 50504951 57768970 72149930 101009902 115537940 144299860 202019804 252524755 505049510 728714293 1010099020 1457428586 2914857172 3643571465 5101000051 7287142930 10202000102 14574285860 20404000204 25505000255 51010000510 102020001020