Search a number
-
+
121474907829 = 321137475313313
BaseRepresentation
bin111000100100001110…
…1111111111010110101
3102121112210110200200100
41301020131333322311
53442240034022304
6131445500504313
711530155452142
oct1611035777265
9377483420610
10121474907829
1147576467210
121b66184b099
13b5bb9324b2
145c451973c9
15325e6e5439
hex1c4877feb5

121474907829 has 96 divisors (see below), whose sum is σ = 204574616064. Its totient is φ = 68779376640.

The previous prime is 121474907777. The next prime is 121474907833. The reversal of 121474907829 is 928709474121.

121474907829 is a `hidden beast` number, since 1 + 2 + 1 + 474 + 90 + 7 + 82 + 9 = 666.

It is not a de Polignac number, because 121474907829 - 28 = 121474907573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121474907839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9117877 + ... + 9131189.

It is an arithmetic number, because the mean of its divisors is an integer number (2130985584).

Almost surely, 2121474907829 is an apocalyptic number.

It is an amenable number.

121474907829 is a deficient number, since it is larger than the sum of its proper divisors (83099708235).

121474907829 is a wasteful number, since it uses less digits than its factorization.

121474907829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13467 (or 13464 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 121474907829 in words is "one hundred twenty-one billion, four hundred seventy-four million, nine hundred seven thousand, eight hundred twenty-nine".

Divisors: 1 3 9 11 33 37 47 53 99 111 141 159 333 407 423 477 517 583 1221 1551 1739 1749 1961 2491 3663 4653 5217 5247 5883 7473 13313 15651 17649 19129 21571 22419 27401 39939 57387 64713 82203 92167 119817 146443 172161 194139 246609 276501 439329 492581 625711 705589 829503 1013837 1317987 1477743 1877133 2116767 3041511 4433229 5418391 5631399 6350301 6882821 7761479 9124533 16255173 20648463 23151307 23284437 26106793 33162683 48765519 61945389 69453921 69853311 78320379 99488049 208361763 234961137 254664377 287174723 298464147 364789513 763993131 861524169 1094368539 1227019271 2291979393 2584572507 3283105617 3681057813 11043173439 13497211981 40491635943 121474907829