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121031442 = 23372961181
BaseRepresentation
bin1110011011011…
…00101100010010
322102202000221000
413031230230102
5221441001232
620002042430
72666515230
oct715545422
9272660830
10121031442
1162356794
1234649416
131c0c854c
1412107950
15a95b27c
hex736cb12

121031442 has 128 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 32659200.

The previous prime is 121031437. The next prime is 121031461. The reversal of 121031442 is 244130121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668592 + ... + 668772.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2121031442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121031442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

121031442 is an abundant number, since it is smaller than the sum of its proper divisors (203947758).

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

121031442 is a wasteful number, since it uses less digits than its factorization.

121031442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 121031442 is about 11001.4290889866. The cubic root of 121031442 is about 494.6515821797.

Adding to 121031442 its reverse (244130121), we get a palindrome (365161563).

The spelling of 121031442 in words is "one hundred twenty-one million, thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 61 63 87 122 126 174 181 183 189 203 261 362 366 378 406 427 522 543 549 609 783 854 1086 1098 1218 1267 1281 1566 1629 1647 1769 1827 2534 2562 3258 3294 3538 3654 3801 3843 4887 5249 5307 5481 7602 7686 9774 10498 10614 10962 11041 11403 11529 12383 15747 15921 22082 22806 23058 24766 31494 31842 33123 34209 36743 37149 47241 47763 66246 68418 73486 74298 77287 94482 95526 99369 110229 111447 141723 154574 198738 220458 222894 231861 283446 298107 320189 330687 334341 463722 596214 640378 661374 668682 695583 960567 992061 1391166 1921134 1984122 2086749 2241323 2881701 4173498 4482646 5763402 6723969 8645103 13447938 17290206 20171907 40343814 60515721 121031442