Search a number
-
+
210033310331133 = 324110514909110323
BaseRepresentation
bin101111110000011000110000…
…110110100111000011111101
31000112122222200112010110101200
4233300120300312213003331
5210012141204421044013
62022411545402330113
762145256141062132
oct5760306066470375
91015588615113350
10210033310331133
1160a17699141153
121b681a427b9939
13902709656acc3
1439c1948aa6589
1519436ad54ee73
hexbf0630da70fd

210033310331133 has 48 divisors (see below), whose sum is σ = 311142884969280. Its totient is φ = 136448014752000.

The previous prime is 210033310331113. The next prime is 210033310331153. The reversal of 210033310331133 is 331133013330012.

210033310331133 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 3 + 3 + 310 + 3 + 311 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (210033310331113) and next prime (210033310331153).

It is not a de Polignac number, because 210033310331133 - 26 = 210033310331069 is a prime.

It is a super-2 number, since 2×2100333103311332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210033310331097 and 210033310331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210033310331113) 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, 1903748310 + ... + 1903858632.

It is an arithmetic number, because the mean of its divisors is an integer number (6482143436860).

Almost surely, 2210033310331133 is an apocalyptic number.

It is an amenable number.

210033310331133 is a deficient number, since it is larger than the sum of its proper divisors (101109574638147).

210033310331133 is a wasteful number, since it uses less digits than its factorization.

210033310331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116330 (or 116327 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 210033310331133 its reverse (331133013330012), we get a palindrome (541166323661145).

The spelling of 210033310331133 in words is "two hundred ten trillion, thirty-three billion, three hundred ten million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 41 123 369 1051 3153 4909 9459 14727 43091 44181 110323 129273 201269 330969 387819 603807 992907 1811421 4523243 5159359 13569729 15478077 40709187 46434231 115949473 211533719 347848419 541575607 634601157 1043545257 1624726821 1903803471 4753928393 4874180463 14261785179 22204599887 42785355537 66613799661 199841398983 569195962957 1707587888871 5122763666613 23337034481237 70011103443711 210033310331133