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121153428 = 223311273127
BaseRepresentation
bin1110011100010…
…10011110010100
322102222020021000
413032022132110
5222003402203
620004423300
73000533664
oct716123624
9272866230
10121153428
116242a400
12346a7b30
131c13bc26
141213a1a4
15a9824a3
hex738a794

121153428 has 144 divisors (see below), whose sum is σ = 352737280. Its totient is φ = 35925120.

The previous prime is 121153427. The next prime is 121153453. The reversal of 121153428 is 824351121.

121153428 is a `hidden beast` number, since 121 + 1 + 534 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121153421) 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, 953901 + ... + 954027.

Almost surely, 2121153428 is an apocalyptic number.

121153428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121153428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176368640).

121153428 is an abundant number, since it is smaller than the sum of its proper divisors (231583852).

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

121153428 is a wasteful number, since it uses less digits than its factorization.

121153428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 121153428 is about 11006.9717906425. The cubic root of 121153428 is about 494.8177106559.

The spelling of 121153428 in words is "one hundred twenty-one million, one hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 99 108 121 127 132 146 198 219 242 254 292 297 363 381 396 438 484 508 594 657 726 762 803 876 1089 1143 1188 1314 1397 1452 1524 1606 1971 2178 2286 2409 2628 2794 3212 3267 3429 3942 4191 4356 4572 4818 5588 6534 6858 7227 7884 8382 8833 9271 9636 12573 13068 13716 14454 15367 16764 17666 18542 21681 25146 26499 27813 28908 30734 35332 37084 37719 43362 46101 50292 52998 55626 61468 75438 79497 83439 86724 92202 101981 105996 111252 138303 150876 158994 166878 184404 203962 238491 250317 276606 305943 317988 333756 407924 414909 476982 500634 553212 611886 829818 917829 953964 1001268 1121791 1223772 1659636 1835658 2243582 2753487 3365373 3671316 4487164 5506974 6730746 10096119 11013948 13461492 20192238 30288357 40384476 60576714 121153428