Search a number
-
+
121111102002 = 231131463127849
BaseRepresentation
bin111000011001011001…
…0001100001000110010
3102120121102220102220110
41300302302030020302
53441013420231002
6131345423122150
711515150244562
oct1606262141062
9376542812813
10121111102002
11473aa072540
121b57ba43356
13b561454387
145c0cb34da2
15323c7d0e6c
hex1c32c8c232

121111102002 has 64 divisors (see below), whose sum is σ = 273357619200. Its totient is φ = 35439465600.

The previous prime is 121111101983. The next prime is 121111102019. The reversal of 121111102002 is 200201111121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883374 + ... + 1011222.

It is an arithmetic number, because the mean of its divisors is an integer number (4271212800).

Almost surely, 2121111102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678809600).

121111102002 is an abundant number, since it is smaller than the sum of its proper divisors (152246517198).

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

121111102002 is a wasteful number, since it uses less digits than its factorization.

121111102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128359.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121111102002 its reverse (200201111121), we get a palindrome (321312213123).

The spelling of 121111102002 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 463 682 926 1023 1389 2046 2778 5093 10186 14353 15279 28706 30558 43059 86118 127849 157883 255698 315766 383547 473649 767094 947298 1406339 2812678 3963319 4219017 7926638 8438034 11889957 23779914 43596509 59194087 87193018 118388174 130789527 177582261 261579054 355164522 651134957 1302269914 1835016697 1953404871 3670033394 3906809742 5505050091 11010100182 20185183667 40370367334 60555551001 121111102002