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121133430 = 232511313947
BaseRepresentation
bin1110011100001…
…01100101110110
322102221012211100
413032011211312
5222002232210
620004150530
73000421455
oct716054566
9272835740
10121133430
1162416380
1234698446
131c132ab2
1412132b9c
15a97b5c0
hex7385976

121133430 has 96 divisors (see below), whose sum is σ = 354751488. Its totient is φ = 28411200.

The previous prime is 121133423. The next prime is 121133471. The reversal of 121133430 is 34331121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28717 + ... + 32663.

It is an arithmetic number, because the mean of its divisors is an integer number (3695328).

Almost surely, 2121133430 is an apocalyptic number.

121133430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375744).

121133430 is an abundant number, since it is smaller than the sum of its proper divisors (233618058).

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

121133430 is a wasteful number, since it uses less digits than its factorization.

121133430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 121133430 is about 11006.0633289110. The cubic root of 121133430 is about 494.7904837221.

Adding to 121133430 its reverse (34331121), we get a palindrome (155464551).

The spelling of 121133430 in words is "one hundred twenty-one million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2790 3069 3410 3947 5115 6138 7894 10230 11841 15345 19735 23682 30690 35523 39470 43417 59205 71046 86834 118410 122357 130251 177615 217085 244714 260502 355230 367071 390753 434170 611785 651255 734142 781506 1101213 1223570 1302510 1345927 1835355 1953765 2202426 2691854 3670710 3907530 4037781 5506065 6729635 8075562 11012130 12113343 13459270 20188905 24226686 40377810 60566715 121133430