Search a number
-
+
991121002121112 = 233318732257401707
BaseRepresentation
bin1110000101011010110101011…
…1010000101100011110011000
311210222021020112202012002201220
43201112231113100230132120
52014402011303020333422
613431534411440212040
7415523062243413432
oct34126552720543630
94728236482162656
10991121002121112
11267890069253aa5
12931b1a8230a020
1333705403b82815
14136a6726277652
15798b4e9a74e5c
hex3856b5742c798

991121002121112 has 64 divisors (see below), whose sum is σ = 2478662985889920. Its totient is φ = 330258943623168.

The previous prime is 991121002121111. The next prime is 991121002121119. The reversal of 991121002121112 is 211121200121199.

991121002121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9911210021211122 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991121002121111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2467072563 + ... + 2467474269.

It is an arithmetic number, because the mean of its divisors is an integer number (38729109154530).

Almost surely, 2991121002121112 is an apocalyptic number.

It is an amenable number.

991121002121112 is an abundant number, since it is smaller than the sum of its proper divisors (1487541983768808).

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

991121002121112 is a wasteful number, since it uses less digits than its factorization.

991121002121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437160 (or 437156 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 991121002121112 in words is "nine hundred ninety-one trillion, one hundred twenty-one billion, two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 3187 6374 9561 12748 19122 25496 32257 38244 64514 76488 96771 129028 193542 258056 387084 401707 774168 803414 1205121 1606828 2410242 3213656 4820484 9640968 102803059 205606118 308409177 411212236 616818354 822424472 1233636708 1280240209 2467273416 2560480418 3840720627 5120960836 7681441254 10241921672 12957862699 15362882508 25915725398 30725765016 38873588097 51831450796 77747176194 103662901592 155494352388 310988704776 41296708421713 82593416843426 123890125265139 165186833686852 247780250530278 330373667373704 495560501060556 991121002121112