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30102020000 = 255413115777
BaseRepresentation
bin11100000010001110…
…000101111110100000
32212200212021001111122
4130002032011332200
5443122104120000
621454554431412
72113645643153
oct340216057640
985625231448
1030102020000
1111847895188
125a01132568
132ab9565170
141657c03c9a
15bb2a7c085
hex702385fa0

30102020000 has 120 divisors (see below), whose sum is σ = 79752749076. Its totient is φ = 11114496000.

The previous prime is 30102019951. The next prime is 30102020021. The reversal of 30102020000 is 2020103.

It can be written as a sum of positive squares in 10 ways, for example, as 12822391696 + 17279628304 = 113236^2 + 131452^2 .

It is a super-2 number, since 2×301020200002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 30102020000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202112 + ... + 317888.

Almost surely, 230102020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39876374538).

30102020000 is an abundant number, since it is smaller than the sum of its proper divisors (49650729076).

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

30102020000 is a wasteful number, since it uses less digits than its factorization.

30102020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115820 (or 115797 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 30102020000 its reverse (2020103), we get a palindrome (30104040103).

The spelling of 30102020000 in words is "thirty billion, one hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 115777 130000 231554 260000 463108 578885 926216 1157770 1505101 1852432 2315540 2894425 3010202 3704864 4631080 5788850 6020404 7525505 9262160 11577700 12040808 14472125 15051010 18524320 23155400 24081616 28944250 30102020 37627525 46310800 48163232 57888500 60204040 72360625 75255050 92621600 115777000 120408080 144721250 150510100 188137625 231554000 240816160 289442500 301020200 376275250 463108000 578885000 602040400 752550500 940688125 1157770000 1204080800 1505101000 1881376250 2315540000 3010202000 3762752500 6020404000 7525505000 15051010000 30102020000