Search a number
-
+
121108988 = 2272111329149
BaseRepresentation
bin1110011011111…
…11100111111100
322102212222022002
413031333213330
5222000441423
620003441432
73000260300
oct715774774
9272788262
10121108988
11623a9a80
1234686278
131c124930
1412127d00
15a974228
hex737f9fc

121108988 has 144 divisors (see below), whose sum is σ = 301644000. Its totient is φ = 41771520.

The previous prime is 121108987. The next prime is 121109011. The reversal of 121108988 is 889801121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121108987) 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, 812738 + ... + 812886.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 2121108988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121108988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822000).

121108988 is an abundant number, since it is smaller than the sum of its proper divisors (180535012).

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

121108988 is a wasteful number, since it uses less digits than its factorization.

121108988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 38.

The square root of 121108988 is about 11004.9528849514. The cubic root of 121108988 is about 494.7572022889.

The spelling of 121108988 in words is "one hundred twenty-one million, one hundred eight thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 49 52 58 77 91 98 116 143 149 154 182 196 203 286 298 308 319 364 377 406 539 572 596 637 638 754 812 1001 1043 1078 1274 1276 1421 1508 1639 1937 2002 2086 2156 2233 2548 2639 2842 3278 3874 4004 4147 4172 4321 4466 5278 5684 6556 7007 7301 7748 8294 8642 8932 10556 11473 13559 14014 14602 15631 16588 17284 18473 21307 22946 27118 28028 29029 29204 30247 31262 36946 42614 45892 47531 54236 56173 58058 60494 62524 73892 80311 85228 94913 95062 112346 116116 120988 149149 160622 189826 190124 203203 211729 224692 298298 321244 332717 379652 393211 406406 423458 596596 617903 665434 786422 812812 846916 1044043 1235806 1330868 1572844 2088086 2329019 2471612 2752477 4176172 4325321 4658038 5504954 8650642 9316076 11009908 17301284 30277247 60554494 121108988