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1020020130200 = 235215159356957
BaseRepresentation
bin11101101011111011111…
…00000000000110011000
310121111211221211102011202
432311331330000012120
5113203000123131300
62100331335213332
7133460023023401
oct16657574000630
93544757742152
101020020130200
11363651854045
1214582a817248
1375258ba0c26
143752528c9a8
151b7ee15bad5
hexed7df00198

1020020130200 has 96 divisors (see below), whose sum is σ = 2391320115360. Its totient is φ = 404615424000.

The previous prime is 1020020130179. The next prime is 1020020130203. The reversal of 1020020130200 is 20310200201.

It is a happy number.

1020020130200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020130203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17880122 + ... + 17937078.

It is an arithmetic number, because the mean of its divisors is an integer number (24909584535).

Almost surely, 21020020130200 is an apocalyptic number.

1020020130200 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 1020020130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195660057680).

1020020130200 is an abundant number, since it is smaller than the sum of its proper divisors (1371299985160).

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

1020020130200 is a wasteful number, since it uses less digits than its factorization.

1020020130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57717 (or 57708 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1020020130200 its reverse (20310200201), we get a palindrome (1040330330401).

The spelling of 1020020130200 in words is "one trillion, twenty billion, twenty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 593 604 755 1186 1208 1510 2372 2965 3020 3775 4744 5930 6040 7550 11860 14825 15100 23720 29650 30200 56957 59300 89543 113914 118600 179086 227828 284785 358172 447715 455656 569570 716344 895430 1139140 1423925 1790860 2238575 2278280 2847850 3581720 4477150 5695700 8600507 8954300 11391400 17201014 17908600 33775501 34402028 43002535 67551002 68804056 86005070 135102004 168877505 172010140 215012675 270204008 337755010 344020280 430025350 675510020 844387525 860050700 1351020040 1688775050 1720101400 3377550100 5100100651 6755100200 10200201302 20400402604 25500503255 40800805208 51001006510 102002013020 127502516275 204004026040 255005032550 510010065100 1020020130200