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102020000000 = 28575101
BaseRepresentation
bin101111100000011011…
…1011010100100000000
3100202022221121222022112
41133000313122210000
53132414110000000
6114511202354452
710241102456222
oct1370067324400
9322287558275
10102020000000
113a2a26a2a96
121793235ba28
13980b16a209
144d1b444412
1529c174d235
hex17c0dda900

102020000000 has 144 divisors (see below), whose sum is σ = 254601106032. Its totient is φ = 40800000000.

The previous prime is 102019999997. The next prime is 102020000087. The reversal of 102020000000 is 20201.

It can be written as a sum of positive squares in 8 ways, for example, as 41472507904 + 60547492096 = 203648^2 + 246064^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19997450 + ... + 20002550.

Almost surely, 2102020000000 is an apocalyptic number.

102020000000 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 102020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127300553016).

102020000000 is an abundant number, since it is smaller than the sum of its proper divisors (152581106032).

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

102020000000 is an frugal number, since it uses more digits than its factorization.

102020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 102020000000 its reverse (20201), we get a palindrome (102020020201).

The spelling of 102020000000 in words is "one hundred two billion, twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 5101 6250 6400 8000 10000 10202 12500 15625 16000 20000 20404 25000 25505 31250 32000 40000 40808 50000 51010 62500 78125 80000 81616 100000 102020 125000 127525 156250 160000 163232 200000 204040 250000 255050 312500 326464 400000 408080 500000 510100 625000 637625 652928 800000 816160 1000000 1020200 1250000 1275250 1305856 1632320 2000000 2040400 2500000 2550500 3188125 3264640 4000000 4080800 5000000 5101000 6376250 6529280 8161600 10000000 10202000 12752500 15940625 16323200 20000000 20404000 25505000 31881250 32646400 40808000 51010000 63762500 79703125 81616000 102020000 127525000 159406250 163232000 204040000 255050000 318812500 398515625 408080000 510100000 637625000 797031250 816160000 1020200000 1275250000 1594062500 2040400000 2550500000 3188125000 4080800000 5101000000 6376250000 10202000000 12752500000 20404000000 25505000000 51010000000 102020000000