Search a number
-
+
121151503719882 = 233173122189191861
BaseRepresentation
bin11011100010111111001000…
…010101111101110111001010
3120212221222012121011212012000
4123202333020111331313022
5111334421234423014012
61105400122113531430
734342623126254346
oct3342771025756712
9525858177155160
10121151503719882
113566a078489259
1211707b81573b76
13527a6cb66a12c
1421cba9a858626
15e016669ccddc
hex6e2fc857ddca

121151503719882 has 128 divisors (see below), whose sum is σ = 294272716953600. Its totient is φ = 36780390835200.

The previous prime is 121151503719871. The next prime is 121151503719887. The reversal of 121151503719882 is 288917305151121.

121151503719882 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 51 + 503 + 7 + 1 + 9 + 8 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (121151503719887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631358632 + ... + 631550492.

It is an arithmetic number, because the mean of its divisors is an integer number (2299005601200).

Almost surely, 2121151503719882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121151503719882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147136358476800).

121151503719882 is an abundant number, since it is smaller than the sum of its proper divisors (173121213233718).

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

121151503719882 is a wasteful number, since it uses less digits than its factorization.

121151503719882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214109 (or 214103 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 121151503719882 in words is "one hundred twenty-one trillion, one hundred fifty-one billion, five hundred three million, seven hundred nineteen thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1674 3162 4743 9486 14229 22189 28458 44378 66567 133134 191861 199701 377213 383722 399402 575583 599103 687859 754426 1131639 1151166 1198206 1375718 1726749 2063577 2263278 3261637 3394917 3453498 4127154 5180247 5947691 6190731 6523274 6789834 9784911 10184751 10360494 11693603 11895382 12381462 17843073 18572193 19569822 20369502 23387206 29354733 35080809 35686146 37144386 53529219 58709466 70161618 88064199 101110747 105242427 107058438 160587657 176128398 202221494 210484854 303332241 315727281 321175314 606664482 631454562 909996723 1819993446 2729990169 4257203729 5459980338 8514407458 12771611187 25543222374 38314833561 72372463393 76629667122 114944500683 131973315599 144744926786 217117390179 229889001366 263946631198 395919946797 434234780358 651352170537 791839893594 1187759840391 1302704341074 1954056511611 2243546365183 2375519680782 3563279521173 3908113023222 4487092730366 6730639095549 7126559042346 13461278191098 20191917286647 40383834573294 60575751859941 121151503719882