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1121202011982 = 2313149191505091
BaseRepresentation
bin10000010100001100110…
…110001111111101001110
310222012000111101120102210
4100110030312033331032
5121332210203340412
62215023442131250
7144001300566363
oct20241466177516
93865014346383
101121202011982
113a2554340448
12161368350b26
13819625000b0
143c3a328446a
151e27200383c
hex1050cd8ff4e

1121202011982 has 64 divisors (see below), whose sum is σ = 2443837132800. Its totient is φ = 340875139200.

The previous prime is 1121202011977. The next prime is 1121202012043. The reversal of 1121202011982 is 2891102021211.

It is a congruent number.

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, 1967257 + ... + 2472347.

It is an arithmetic number, because the mean of its divisors is an integer number (38184955200).

Almost surely, 21121202011982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121202011982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221918566400).

1121202011982 is an abundant number, since it is smaller than the sum of its proper divisors (1322635120818).

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

1121202011982 is a wasteful number, since it uses less digits than its factorization.

1121202011982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505449.

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 1121202011982 in words is "one trillion, one hundred twenty-one billion, two hundred two million, eleven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 149 191 298 382 447 573 894 1146 1937 2483 3874 4966 5811 7449 11622 14898 28459 56918 85377 170754 369967 505091 739934 1010182 1109901 1515273 2219802 3030546 6566183 13132366 19698549 39397098 75258559 96472381 150517118 192944762 225775677 289417143 451551354 578834286 978361267 1254140953 1956722534 2508281906 2935083801 3762422859 5870167602 7524845718 14374384769 28748769538 43123154307 86246308614 186867001997 373734003994 560601005991 1121202011982