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121433634 = 23373143241
BaseRepresentation
bin1110011110011…
…10111000100010
322110111110122000
413033032320202
5222041334014
620014424430
73003111630
oct717167042
9273443560
10121433634
1162600983
1234802116
131c20962a
14121b0350
15a9da509
hex73cee22

121433634 has 128 divisors (see below), whose sum is σ = 327106560. Its totient is φ = 32659200.

The previous prime is 121433633. The next prime is 121433651. The reversal of 121433634 is 436334121.

121433634 is a `hidden beast` number, since 1 + 21 + 4 + 3 + 3 + 634 = 666.

It is a super-2 number, since 2×1214336342 = 29492254932891912, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121433598 and 121433607.

It is not an unprimeable number, because it can be changed into a prime (121433633) 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, 503754 + ... + 503994.

It is an arithmetic number, because the mean of its divisors is an integer number (2555520).

Almost surely, 2121433634 is an apocalyptic number.

121433634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121433634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163553280).

121433634 is an abundant number, since it is smaller than the sum of its proper divisors (205672926).

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

121433634 is a wasteful number, since it uses less digits than its factorization.

121433634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 121433634 is about 11019.6930084281. The cubic root of 121433634 is about 495.1988916079.

Adding to 121433634 its reverse (436334121), we get a palindrome (557767755).

The spelling of 121433634 in words is "one hundred twenty-one million, four hundred thirty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 43 54 62 63 86 93 126 129 186 189 217 241 258 279 301 378 387 434 482 558 602 651 723 774 837 903 1161 1302 1333 1446 1674 1687 1806 1953 2169 2322 2666 2709 3374 3906 3999 4338 5061 5418 5859 6507 7471 7998 8127 9331 10122 10363 11718 11997 13014 14942 15183 16254 18662 20726 22413 23994 27993 30366 31089 35991 44826 45549 52297 55986 62178 67239 71982 72541 83979 91098 93267 104594 134478 145082 156891 167958 186534 201717 217623 251937 279801 313782 321253 403434 435246 470673 503874 559602 642506 652869 941346 963759 1305738 1412019 1927518 1958607 2248771 2824038 2891277 3917214 4497542 5782554 6746313 8673831 13492626 17347662 20238939 40477878 60716817 121433634