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111982130715136 = 2911181227483929
BaseRepresentation
bin11001011101100011011111…
…000111110101101000000000
3112200111101110020011220111211
4121131203133013311220000
5104134203400430341021
61034055514120015504
732405304406562323
oct3135433707655000
9480441406156454
10111982130715136
113275439a469860
1210686a79001594
134a63b3c711396
141d91d6d4ac7ba
15ce2da3a573e1
hex65d8df1f5a00

111982130715136 has 160 divisors (see below), whose sum is σ = 246516311321280. Its totient is φ = 50396649062400.

The previous prime is 111982130715131. The next prime is 111982130715157. The reversal of 111982130715136 is 631517031289111.

It is a self number, because there is not a number n which added to its sum of digits gives 111982130715136.

It is not an unprimeable number, because it can be changed into a prime (111982130715131) 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, 231160020 + ... + 231643948.

It is an arithmetic number, because the mean of its divisors is an integer number (1540726945758).

Almost surely, 2111982130715136 is an apocalyptic number.

111982130715136 is a gapful number since it is divisible by the number (16) 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 111982130715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123258155660640).

111982130715136 is an abundant number, since it is smaller than the sum of its proper divisors (134534180606144).

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

111982130715136 is a wasteful number, since it uses less digits than its factorization.

111982130715136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484366 (or 484350 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

The spelling of 111982130715136 in words is "one hundred eleven trillion, nine hundred eighty-two billion, one hundred thirty million, seven hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 227 256 352 362 454 512 704 724 908 1408 1448 1816 1991 2497 2816 2896 3632 3982 4994 5632 5792 7264 7964 9988 11584 14528 15928 19976 23168 29056 31856 39952 41087 46336 58112 63712 79904 82174 92672 116224 127424 159808 164348 254848 319616 328696 451957 483929 509696 639232 657392 903914 967858 1019392 1278464 1314784 1807828 1935716 2629568 3615656 3871432 5259136 5323219 7231312 7742864 10518272 10646438 14462624 15485728 21036544 21292876 28925248 30971456 42585752 57850496 61942912 85171504 87591149 109851883 115700992 123885824 170343008 175182298 219703766 231401984 247771648 340686016 350364596 439407532 681372032 700729192 878815064 963502639 1208370713 1362744064 1401458384 1757630128 1927005278 2416741426 2725488128 2802916768 3515260256 3854010556 4833482852 5605833536 7030520512 7708021112 9666965704 11211667072 14061041024 15416042224 19333931408 19883190823 22423334144 28122082048 30832084448 38667862816 39766381646 44846668288 56244164096 61664168896 77335725632 79532763292 123328337792 154671451264 159065526584 218715099053 246656675584 309342902528 318131053168 437430198106 493313351168 618685805056 636262106336 874860396212 1272524212672 1749720792424 2545048425344 3499441584848 5090096850688 6998883169696 10180193701376 13997766339392 27995532678784 55991065357568 111982130715136