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20033132130 = 23251139750971
BaseRepresentation
bin10010101010000100…
…010101011001100010
31220201010212112222200
4102222010111121202
5312011440212010
613111511314030
71306303546014
oct225204253142
956633775880
1020033132130
1185501a9750
123a7107b916
131b7350844b
14d8086c1b4
157c3b12cc0
hex4aa115662

20033132130 has 96 divisors (see below), whose sum is σ = 56965491648. Its totient is φ = 4844188800.

The previous prime is 20033132107. The next prime is 20033132131. The reversal of 20033132130 is 3123133002.

20033132130 is a `hidden beast` number, since 200 + 331 + 3 + 2 + 130 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20033132131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367545 + ... + 418515.

It is an arithmetic number, because the mean of its divisors is an integer number (593390538).

Almost surely, 220033132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20033132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28482745824).

20033132130 is an abundant number, since it is smaller than the sum of its proper divisors (36932359518).

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

20033132130 is a wasteful number, since it uses less digits than its factorization.

20033132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51392 (or 51389 counting only the distinct ones).

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

Adding to 20033132130 its reverse (3123133002), we get a palindrome (23156265132).

The spelling of 20033132130 in words is "twenty billion, thirty-three million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 397 495 794 990 1191 1985 2382 3573 3970 4367 5955 7146 8734 11910 13101 17865 21835 26202 35730 39303 43670 50971 65505 78606 101942 131010 152913 196515 254855 305826 393030 458739 509710 560681 764565 917478 1121362 1529130 1682043 2293695 2803405 3364086 4587390 5046129 5606810 8410215 10092258 16820430 20235487 25230645 40470974 50461290 60706461 101177435 121412922 182119383 202354870 222590357 303532305 364238766 445180714 607064610 667771071 910596915 1112951785 1335542142 1821193830 2003313213 2225903570 3338855355 4006626426 6677710710 10016566065 20033132130