Search a number
-
+
21032020133130 = 2351726173931667
BaseRepresentation
bin1001100100000111001100…
…00101101100010100001010
32202110122022122102020012110
410302003212011230110022
510224042034123230010
6112421550543123150
74300341031303506
oct462034605542412
982418278366173
1021032020133130
1167796a2074976
122438190ba34b6
13b9740731a8c6
14529d53129306
15267157764120
hex1320e616c50a

21032020133130 has 96 divisors (see below), whose sum is σ = 53707654293696. Its totient is φ = 5270068013056.

The previous prime is 21032020133093. The next prime is 21032020133141. The reversal of 21032020133130 is 3133102023012.

It is a super-3 number, since 3×210320201331303 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21032020133097 and 21032020133106.

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, 3383557 + ... + 7315223.

It is an arithmetic number, because the mean of its divisors is an integer number (559454732226).

Almost surely, 221032020133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21032020133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853827146848).

21032020133130 is an abundant number, since it is smaller than the sum of its proper divisors (32675634160566).

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

21032020133130 is a wasteful number, since it uses less digits than its factorization.

21032020133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932328 (or 3932311 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21032020133130 its reverse (3133102023012), we get a palindrome (24165122156142).

The spelling of 21032020133130 in words is "twenty-one trillion, thirty-two billion, twenty million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 617 867 1234 1445 1734 1851 2890 3085 3702 4335 6170 8670 9255 10489 18510 20978 31467 52445 62934 104890 157335 178313 314670 356626 534939 891565 1069878 1783130 2674695 3931667 5349390 7863334 11795001 19658335 23590002 39316670 58975005 66838339 117950010 133676678 200515017 334191695 401030034 668383390 1002575085 1136251763 2005150170 2272503526 2425838539 3408755289 4851677078 5681258815 6817510578 7277515617 11362517630 12129192695 14555031234 17043776445 24258385390 34087552890 36387578085 41239255163 72775156170 82478510326 123717765489 206196275815 247435530978 412392551630 618588827445 701067337771 1237177654890 1402134675542 2103202013313 3505336688855 4206404026626 7010673377710 10516010066565 21032020133130