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111000002101120 = 2751123096828517
BaseRepresentation
bin11001001111010000110011…
…101100011111111110000000
3112120000111101222220221210101
4121033100303230133332000
5104022111001014213440
61032024410315212144
732244325346236366
oct3117206354377600
9476014358827711
10111000002101120
1132405922470750
1210548664147054
1349c2341b24462
141d5a600773636
15cc757124169a
hex64f433b1ff80

111000002101120 has 128 divisors (see below), whose sum is σ = 289608374008800. Its totient is φ = 40346150215680.

The previous prime is 111000002101103. The next prime is 111000002101123. The reversal of 111000002101120 is 21101200000111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111000002101097 and 111000002101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000002101123) 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, 12841102 + ... + 19669618.

Almost surely, 2111000002101120 is an apocalyptic number.

111000002101120 is a gapful number since it is divisible by the number (10) 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 111000002101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144804187004400).

111000002101120 is an abundant number, since it is smaller than the sum of its proper divisors (178608371907680).

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

111000002101120 is a wasteful number, since it uses less digits than its factorization.

111000002101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830856 (or 6830844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111000002101120 its reverse (21101200000111), we get a palindrome (132101202101231).

The spelling of 111000002101120 in words is "one hundred eleven trillion, two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2309 3520 4618 7040 9236 11545 18472 23090 25399 36944 46180 50798 73888 92360 101596 126995 147776 184720 203192 253990 295552 369440 406384 507980 738880 812768 1015960 1477760 1625536 2031920 3251072 4063840 6828517 8127680 13657034 16255360 27314068 34142585 54628136 68285170 75113687 109256272 136570340 150227374 218512544 273140680 300454748 375568435 437025088 546281360 600909496 751136870 874050176 1092562720 1201818992 1502273740 2185125440 2403637984 3004547480 4370250880 4807275968 6009094960 9614551936 12018189920 15767045753 24036379840 31534091506 48072759680 63068183012 78835228765 126136366024 157670457530 173437503283 252272732048 315340915060 346875006566 504545464096 630681830120 693750013132 867187516415 1009090928192 1261363660240 1387500026264 1734375032830 2018181856384 2522727320480 2775000052528 3468750065660 5045454640960 5550000105056 6937500131320 10090909281920 11100000210112 13875000262640 22200000420224 27750000525280 55500001050560 111000002101120