Search a number
-
+
121322013432 = 233193724772903
BaseRepresentation
bin111000011111101011…
…0110000001011111000
3102121011010202211222220
41300333112300023320
53441431413412212
6131422355444040
711523321045654
oct1607726601370
9377133684886
10121322013432
11474a8128404
121b61a5b6620
13b59605c039
145c2cb57a64
15325109338c
hex1c3f5b02f8

121322013432 has 128 divisors (see below), whose sum is σ = 328142707200. Its totient is φ = 37248864768.

The previous prime is 121322013409. The next prime is 121322013433. The reversal of 121322013432 is 234310223121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121322013433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41790493 + ... + 41793395.

It is an arithmetic number, because the mean of its divisors is an integer number (2563614900).

Almost surely, 2121322013432 is an apocalyptic number.

121322013432 is a gapful number since it is divisible by the number (12) 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 121322013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164071353600).

121322013432 is an abundant number, since it is smaller than the sum of its proper divisors (206820693768).

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

121322013432 is a wasteful number, since it uses less digits than its factorization.

121322013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121322013432 its reverse (234310223121), we get a palindrome (355632236553).

The spelling of 121322013432 in words is "one hundred twenty-one billion, three hundred twenty-two million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1406 2109 2477 2812 2903 4218 4954 5624 5806 7431 8436 8709 9908 11612 14862 16872 17418 19816 23224 29724 34836 47063 55157 59448 69672 91649 94126 107411 110314 141189 165471 183298 188252 214822 220628 274947 282378 322233 330942 366596 376504 429644 441256 549894 564756 644466 661884 733192 859288 1099788 1129512 1288932 1323768 1741331 2040809 2199576 2577864 3482662 4081618 5223993 6122427 6965324 7190731 8163236 10447986 12244854 13930648 14381462 16326472 20895972 21572193 24489708 28762924 41791944 43144386 48979416 57525848 86288772 136623889 172577544 266057047 273247778 409871667 532114094 546495556 798171141 819743334 1064228188 1092991112 1596342282 1639486668 2128456376 3192684564 3278973336 5055083893 6385369128 10110167786 15165251679 20220335572 30330503358 40440671144 60661006716 121322013432