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133310001020 = 22578910799991
BaseRepresentation
bin111110000100111100…
…1010010111101111100
3110202002121021201102012
41330021321102331330
54141004330013040
6141124115550352
712426355212050
oct1741171227574
9422077251365
10133310001020
115159a024969
1221a052bb3b8
13c756879011
146648d29c60
15370373e865
hex1f09e52f7c

133310001020 has 96 divisors (see below), whose sum is σ = 326565872640. Its totient is φ = 44769922560.

The previous prime is 133310000987. The next prime is 133310001043. The reversal of 133310001020 is 20100013331.

133310001020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 133310000986 and 133310001004.

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, 1283225 + ... + 1383215.

It is an arithmetic number, because the mean of its divisors is an integer number (3401727840).

Almost surely, 2133310001020 is an apocalyptic number.

133310001020 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 133310001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163282936320).

133310001020 is an abundant number, since it is smaller than the sum of its proper divisors (193255871620).

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

133310001020 is a wasteful number, since it uses less digits than its factorization.

133310001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100203 (or 100201 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 133310001020 its reverse (20100013331), we get a palindrome (153410014351).

The spelling of 133310001020 in words is "one hundred thirty-three billion, three hundred ten million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 107 140 178 214 356 428 445 535 623 749 890 1070 1246 1498 1780 2140 2492 2996 3115 3745 6230 7490 9523 12460 14980 19046 38092 47615 66661 95230 99991 133322 190460 199982 266644 333305 399964 499955 666610 699937 999910 1333220 1399874 1999820 2799748 3499685 6999370 8899199 10699037 13998740 17798398 21398074 35596796 42796148 44495995 53495185 62294393 74893259 88991990 106990370 124588786 149786518 177983980 213980740 249177572 299573036 311471965 374466295 622943930 748932590 952214293 1245887860 1497865180 1904428586 3808857172 4761071465 6665500051 9522142930 13331000102 19044285860 26662000204 33327500255 66655000510 133310001020