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33023102130 = 23256112794703
BaseRepresentation
bin11110110000010101…
…001000110010110010
310011020102210101212200
4132300111020302302
51020112403232010
623100503404030
72246225510454
oct366025106262
9104212711780
1033023102130
1113006753447
126497453616
1331637a7a25
141853b462d4
15cd4232cc0
hex7b0548cb2

33023102130 has 96 divisors (see below), whose sum is σ = 87354408960. Its totient is φ = 8653184640.

The previous prime is 33023102083. The next prime is 33023102143. The reversal of 33023102130 is 3120132033.

33023102130 is a `hidden beast` number, since 3 + 302 + 310 + 21 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7019359 + ... + 7024061.

It is an arithmetic number, because the mean of its divisors is an integer number (909941760).

Almost surely, 233023102130 is an apocalyptic number.

33023102130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33023102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43677204480).

33023102130 is an abundant number, since it is smaller than the sum of its proper divisors (54331306830).

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

33023102130 is a wasteful number, since it uses less digits than its factorization.

33023102130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33023102130 its reverse (3120132033), we get a palindrome (36143234163).

The spelling of 33023102130 in words is "thirty-three billion, twenty-three million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1279 1830 2558 2745 3837 4703 5490 6395 7674 9406 11511 12790 14109 19185 23022 23515 28218 38370 42327 47030 57555 70545 78019 84654 115110 141090 156038 211635 234057 286883 390095 423270 468114 573766 702171 780190 860649 1170285 1404342 1434415 1721298 2340570 2581947 2868830 3510855 4303245 5163894 6015137 7021710 8606490 12030274 12909735 18045411 25819470 30075685 36090822 54136233 60151370 90227055 108272466 180454110 270681165 366923357 541362330 733846714 1100770071 1834616785 2201540142 3302310213 3669233570 5503850355 6604620426 11007700710 16511551065 33023102130