Search a number
-
+
33114100220421 = 31137137421470213
BaseRepresentation
bin1111000011101111110100…
…01011100100001000000101
311100020200021120122210022220
413201313322023210020011
513320020134124023141
6154232224014242553
76655262162461203
oct741677213441005
9140220246583286
1033114100220421
11a60767a323160
1238698991b6459
131562852a7a67c
14826a33c28073
153c6591585766
hex1e1dfa2e4205

33114100220421 has 64 divisors (see below), whose sum is σ = 49947289687296. Its totient is φ = 19338126796800.

The previous prime is 33114100220417. The next prime is 33114100220431. The reversal of 33114100220421 is 12402200141133.

It is not a de Polignac number, because 33114100220421 - 22 = 33114100220417 is a prime.

It is a super-2 number, since 2×331141002204212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33114100220391 and 33114100220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33114100220431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70188511 + ... + 70658723.

It is an arithmetic number, because the mean of its divisors is an integer number (780426401364).

Almost surely, 233114100220421 is an apocalyptic number.

It is an amenable number.

33114100220421 is a deficient number, since it is larger than the sum of its proper divisors (16833189466875).

33114100220421 is a wasteful number, since it uses less digits than its factorization.

33114100220421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470822.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 33114100220421 its reverse (12402200141133), we get a palindrome (45516300361554).

The spelling of 33114100220421 in words is "thirty-three trillion, one hundred fourteen billion, one hundred million, two hundred twenty thousand, four hundred twenty-one".

Divisors: 1 3 11 33 37 111 137 407 411 421 1221 1263 1507 4521 4631 5069 13893 15207 15577 46731 55759 57677 167277 171347 173031 470213 514041 634447 1410639 1903341 2134049 5172343 6402147 15517029 17397881 23474539 52193643 64419181 70423617 191376691 193257543 197959673 574130073 593879019 708610991 2125832973 2177556403 2383509697 6532669209 7150529091 7324507901 21973523703 26218606667 27120475201 78655820001 80569586911 81361425603 241708760733 298325227211 894975681633 1003457582437 3010372747311 11038033406807 33114100220421