Search a number
-
+
20032033032 = 233211219121019
BaseRepresentation
bin10010101010000000…
…001001000100001000
31220201001210201022100
4102222000021010020
5312011200024112
613111431553400
71306261320444
oct225200110410
956631721270
1020032033032
11854a618a00
123a7082b860
131b732120ab
14d80663824
157c39972dc
hex4aa009108

20032033032 has 144 divisors (see below), whose sum is σ = 62773074000. Its totient is φ = 5750775360.

The previous prime is 20032033031. The next prime is 20032033039. The reversal of 20032033032 is 23033023002.

It is a super-2 number, since 2×200320330322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20032032996 and 20032033014.

It is not an unprimeable number, because it can be changed into a prime (20032033031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105019 + ... + 226037.

It is an arithmetic number, because the mean of its divisors is an integer number (435924125).

Almost surely, 220032033032 is an apocalyptic number.

20032033032 is a gapful number since it is divisible by the number (22) 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 20032033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31386537000).

20032033032 is an abundant number, since it is smaller than the sum of its proper divisors (42741040968).

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

20032033032 is a wasteful number, since it uses less digits than its factorization.

20032033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121072 (or 121054 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20032033032 its reverse (23033023002), we get a palindrome (43065056034).

The spelling of 20032033032 in words is "twenty billion, thirty-two million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 627 684 726 792 836 968 1089 1254 1368 1452 1672 1881 2178 2299 2508 2904 3762 4356 4598 5016 6897 7524 8712 9196 13794 15048 18392 20691 27588 41382 55176 82764 121019 165528 242038 363057 484076 726114 968152 1089171 1331209 1452228 2178342 2299361 2662418 2904456 3993627 4356684 4598722 5324836 6898083 7987254 8713368 9197444 10649672 11980881 13796166 14643299 15974508 18394888 20694249 23961762 25292971 27592332 29286598 31949016 41388498 43929897 47923524 50585942 55184664 58573196 75878913 82776996 87859794 95847048 101171884 117146392 131789691 151757826 165553992 175719588 202343768 227636739 263579382 278222681 303515652 351439176 455273478 527158764 556445362 607031304 834668043 910546956 1054317528 1112890724 1669336086 1821093912 2225781448 2504004129 3338672172 5008008258 6677344344 10016016516 20032033032