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111023013213030 = 23547197907440677
BaseRepresentation
bin11001001111100110001111…
…010000111011001101100110
3112120002200210200101120001110
4121033212033100323031212
5104023000112340304110
61032043133531205450
732246101523406252
oct3117461720731546
9476080720346043
10111023013213030
113241466065a706
12105510065a6886
1349c456b2a42c9
141d5b784915262
15cc7e6b4e8a20
hex64f98f43b366

111023013213030 has 128 divisors (see below), whose sum is σ = 273808005875712. Its totient is φ = 28797281146368.

The previous prime is 111023013213019. The next prime is 111023013213061. The reversal of 111023013213030 is 30312310320111.

It is a happy number.

It is a super-2 number, since 2×1110230132130302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111023013212988 and 111023013213006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251717052 + ... + 252157728.

It is an arithmetic number, because the mean of its divisors is an integer number (2139125045904).

Almost surely, 2111023013213030 is an apocalyptic number.

111023013213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111023013213030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136904002937856).

111023013213030 is an abundant number, since it is smaller than the sum of its proper divisors (162784992662682).

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

111023013213030 is a wasteful number, since it uses less digits than its factorization.

111023013213030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441838.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 111023013213030 its reverse (30312310320111), we get a palindrome (141335323533141).

The spelling of 111023013213030 in words is "one hundred eleven trillion, twenty-three billion, thirteen million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 197 235 282 394 470 591 705 907 985 1182 1410 1814 1970 2721 2955 4535 5442 5910 9070 9259 13605 18518 27210 27777 42629 46295 55554 85258 92590 127887 138885 178679 213145 255774 277770 357358 426290 440677 536037 639435 881354 893395 1072074 1278870 1322031 1786790 2203385 2644062 2680185 4406770 5360370 6610155 8397913 13220310 16795826 20711819 25193739 41423638 41989565 50387478 62135457 83979130 86813369 103559095 124270914 125968695 173626738 207118190 251937390 260440107 310677285 399694039 434066845 520880214 621354570 799388078 868133690 1199082117 1302200535 1998470195 2398164234 2604401070 3996940390 4080228343 5995410585 8160456686 11990821170 12240685029 18785619833 20401141715 24481370058 37571239666 40802283430 56356859499 61203425145 78739725683 93928099165 112713718998 122406850290 157479451366 187856198330 236219177049 281784297495 393698628415 472438354098 563568594990 787397256830 1181095885245 2362191770490 3700767107101 7401534214202 11102301321303 18503835535505 22204602642606 37007671071010 55511506606515 111023013213030